TSTP Solution File: PUZ007-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ007-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 17:39:03 EDT 2024

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : PUZ007-1 : TPTP v8.2.0. Released v1.0.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.36  % Computer : n005.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Sat May 25 19:39:39 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.DzE2gHLDts/cvc5---1.0.5_22448.smt2
% 0.21/0.55  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.DzE2gHLDts/cvc5---1.0.5_22448.smt2
% 0.21/0.57  (assume a0 (forall ((X $$unsorted)) (or (tptp.from_mars X) (tptp.from_venus X))))
% 0.21/0.57  (assume a1 (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.from_venus X)))))
% 0.21/0.57  (assume a2 (forall ((X $$unsorted)) (or (tptp.male X) (tptp.female X))))
% 0.21/0.57  (assume a3 (forall ((X $$unsorted)) (or (not (tptp.male X)) (not (tptp.female X)))))
% 0.21/0.57  (assume a4 (forall ((X $$unsorted)) (or (tptp.truthteller X) (tptp.liar X))))
% 0.21/0.57  (assume a5 (forall ((X $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.liar X)))))
% 0.21/0.57  (assume a6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.says X Y)) (tptp.a_truth Y) (not (tptp.a_truth Y)))))
% 0.21/0.57  (assume a7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.says X Y)) (= Y (tptp.statement_by X)))))
% 0.21/0.57  (assume a8 (forall ((X $$unsorted)) (or (not (tptp.a_truth (tptp.statement_by X))) (tptp.truthteller X))))
% 0.21/0.57  (assume a9 (forall ((X $$unsorted)) (or (tptp.a_truth (tptp.statement_by X)) (tptp.liar X))))
% 0.21/0.57  (assume a10 (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))))
% 0.21/0.57  (assume a11 (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.male X)) (tptp.liar X))))
% 0.21/0.57  (assume a12 (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.male X)) (tptp.truthteller X))))
% 0.21/0.57  (assume a13 (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))))
% 0.21/0.57  (assume a14 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))))
% 0.21/0.57  (assume a15 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))))
% 0.21/0.57  (assume a16 (tptp.says tptp.a tptp.a_from_mars))
% 0.21/0.57  (assume a17 (tptp.says tptp.b tptp.a_has_lied))
% 0.21/0.57  (assume a18 (or (not (tptp.from_mars tptp.a)) (tptp.a_truth tptp.a_from_mars)))
% 0.21/0.57  (assume a19 (or (tptp.from_mars tptp.a) (not (tptp.a_truth tptp.a_from_mars))))
% 0.21/0.57  (assume a20 (or (not (tptp.a_truth tptp.a_from_mars)) (not (tptp.a_truth (tptp.statement_by tptp.b)))))
% 0.21/0.57  (assume a21 (= (tptp.statement_by tptp.a) tptp.a_from_mars))
% 0.21/0.57  (assume a22 (= (tptp.statement_by tptp.b) tptp.a_has_lied))
% 0.21/0.57  (assume a23 (or (tptp.a_truth tptp.a_from_mars) (tptp.a_truth (tptp.statement_by tptp.b))))
% 0.21/0.57  (assume a24 (or (not (tptp.female tptp.a)) (tptp.male tptp.b)))
% 0.21/0.57  (assume a25 (or (not (tptp.male tptp.a)) (tptp.female tptp.b)))
% 0.21/0.57  (assume a26 (or (tptp.from_mars tptp.b) (tptp.from_mars tptp.a)))
% 0.21/0.57  (assume a27 (or (tptp.from_venus tptp.a) (tptp.from_venus tptp.b)))
% 0.21/0.57  (step t1 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))) (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a))) (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X)))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t2)
% 0.21/0.57  (assume t2.a0 (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))))
% 0.21/0.57  (step t2.t1 (cl (or (not (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X)))) (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a)))) :rule forall_inst :args ((:= X tptp.a)))
% 0.21/0.57  (step t2.t2 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X)))) (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a))) :rule or :premises (t2.t1))
% 0.21/0.57  (step t2.t3 (cl (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a))) :rule resolution :premises (t2.t2 t2.a0))
% 0.21/0.57  (step t2 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X)))) (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a))) :rule subproof :discharge (t2.a0))
% 0.21/0.57  (step t3 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))) (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a))) (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a))) :rule resolution :premises (t1 t2))
% 0.21/0.57  (step t4 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))) (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a))) (not (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a)))) :rule implies_neg2)
% 0.21/0.57  (step t5 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))) (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a))) (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))) (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a)))) :rule resolution :premises (t3 t4))
% 0.21/0.57  (step t6 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))) (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a)))) :rule contraction :premises (t5))
% 0.21/0.57  (step t7 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X)))) (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a))) :rule implies :premises (t6))
% 0.21/0.57  (step t8 (cl (not (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a))) (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a)) :rule or_pos)
% 0.21/0.57  (step t9 (cl (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a) (not (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a)))) :rule reordering :premises (t8))
% 0.21/0.57  (step t10 (cl (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth (tptp.statement_by tptp.b))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b)))) :rule and_neg)
% 0.21/0.57  (step t11 (cl (=> (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied)) (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t12)
% 0.21/0.57  (assume t12.a0 (tptp.a_truth (tptp.statement_by tptp.b)))
% 0.21/0.57  (assume t12.a1 (= tptp.a_has_lied (tptp.statement_by tptp.b)))
% 0.21/0.57  (step t12.t1 (cl (=> (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied)) (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t12.t2)
% 0.21/0.57  (assume t12.t2.a0 (tptp.a_truth (tptp.statement_by tptp.b)))
% 0.21/0.57  (assume t12.t2.a1 (= tptp.a_has_lied (tptp.statement_by tptp.b)))
% 0.21/0.57  (step t12.t2.t1 (cl (= (= (tptp.a_truth tptp.a_has_lied) true) (tptp.a_truth tptp.a_has_lied))) :rule equiv_simplify)
% 0.21/0.57  (step t12.t2.t2 (cl (not (= (tptp.a_truth tptp.a_has_lied) true)) (tptp.a_truth tptp.a_has_lied)) :rule equiv1 :premises (t12.t2.t1))
% 0.21/0.57  (step t12.t2.t3 (cl (= (tptp.statement_by tptp.b) tptp.a_has_lied)) :rule symm :premises (t12.t2.a1))
% 0.21/0.57  (step t12.t2.t4 (cl (= tptp.a_has_lied (tptp.statement_by tptp.b))) :rule symm :premises (t12.t2.t3))
% 0.21/0.57  (step t12.t2.t5 (cl (= (tptp.a_truth tptp.a_has_lied) (tptp.a_truth (tptp.statement_by tptp.b)))) :rule cong :premises (t12.t2.t4))
% 0.21/0.57  (step t12.t2.t6 (cl (= (= (tptp.a_truth (tptp.statement_by tptp.b)) true) (tptp.a_truth (tptp.statement_by tptp.b)))) :rule equiv_simplify)
% 0.21/0.57  (step t12.t2.t7 (cl (= (tptp.a_truth (tptp.statement_by tptp.b)) true) (not (tptp.a_truth (tptp.statement_by tptp.b)))) :rule equiv2 :premises (t12.t2.t6))
% 0.21/0.57  (step t12.t2.t8 (cl (= (tptp.a_truth (tptp.statement_by tptp.b)) true)) :rule resolution :premises (t12.t2.t7 t12.t2.a0))
% 0.21/0.57  (step t12.t2.t9 (cl (= (tptp.a_truth tptp.a_has_lied) true)) :rule trans :premises (t12.t2.t5 t12.t2.t8))
% 0.21/0.57  (step t12.t2.t10 (cl (tptp.a_truth tptp.a_has_lied)) :rule resolution :premises (t12.t2.t2 t12.t2.t9))
% 0.21/0.57  (step t12.t2 (cl (not (tptp.a_truth (tptp.statement_by tptp.b))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied)) :rule subproof :discharge (t12.t2.a0 t12.t2.a1))
% 0.21/0.57  (step t12.t3 (cl (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (tptp.a_truth (tptp.statement_by tptp.b))) :rule and_pos)
% 0.21/0.57  (step t12.t4 (cl (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) :rule and_pos)
% 0.21/0.57  (step t12.t5 (cl (tptp.a_truth tptp.a_has_lied) (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))))) :rule resolution :premises (t12.t2 t12.t3 t12.t4))
% 0.21/0.57  (step t12.t6 (cl (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (tptp.a_truth tptp.a_has_lied)) :rule reordering :premises (t12.t5))
% 0.21/0.57  (step t12.t7 (cl (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (tptp.a_truth tptp.a_has_lied)) :rule contraction :premises (t12.t6))
% 0.21/0.57  (step t12.t8 (cl (=> (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied)) :rule resolution :premises (t12.t1 t12.t7))
% 0.21/0.57  (step t12.t9 (cl (=> (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied))) :rule implies_neg2)
% 0.21/0.57  (step t12.t10 (cl (=> (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied)) (=> (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied))) :rule resolution :premises (t12.t8 t12.t9))
% 0.21/0.57  (step t12.t11 (cl (=> (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied))) :rule contraction :premises (t12.t10))
% 0.21/0.57  (step t12.t12 (cl (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (tptp.a_truth tptp.a_has_lied)) :rule implies :premises (t12.t11))
% 0.21/0.57  (step t12.t13 (cl (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth (tptp.statement_by tptp.b))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b)))) :rule and_neg)
% 0.21/0.57  (step t12.t14 (cl (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) :rule resolution :premises (t12.t13 t12.a0 t12.a1))
% 0.21/0.57  (step t12.t15 (cl (tptp.a_truth tptp.a_has_lied)) :rule resolution :premises (t12.t12 t12.t14))
% 0.21/0.57  (step t12 (cl (not (tptp.a_truth (tptp.statement_by tptp.b))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied)) :rule subproof :discharge (t12.a0 t12.a1))
% 0.21/0.57  (step t13 (cl (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (tptp.a_truth (tptp.statement_by tptp.b))) :rule and_pos)
% 0.21/0.57  (step t14 (cl (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) :rule and_pos)
% 0.21/0.57  (step t15 (cl (tptp.a_truth tptp.a_has_lied) (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))))) :rule resolution :premises (t12 t13 t14))
% 0.21/0.57  (step t16 (cl (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (tptp.a_truth tptp.a_has_lied)) :rule reordering :premises (t15))
% 0.21/0.57  (step t17 (cl (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (tptp.a_truth tptp.a_has_lied)) :rule contraction :premises (t16))
% 0.21/0.57  (step t18 (cl (=> (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied)) :rule resolution :premises (t11 t17))
% 0.21/0.57  (step t19 (cl (=> (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied))) :rule implies_neg2)
% 0.21/0.57  (step t20 (cl (=> (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied)) (=> (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied))) :rule resolution :premises (t18 t19))
% 0.21/0.57  (step t21 (cl (=> (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied))) :rule contraction :premises (t20))
% 0.21/0.57  (step t22 (cl (not (and (tptp.a_truth (tptp.statement_by tptp.b)) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (tptp.a_truth tptp.a_has_lied)) :rule implies :premises (t21))
% 0.21/0.57  (step t23 (cl (not (tptp.a_truth (tptp.statement_by tptp.b))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (tptp.a_truth tptp.a_has_lied)) :rule resolution :premises (t10 t22))
% 0.21/0.57  (step t24 (cl (= tptp.a_has_lied (tptp.statement_by tptp.b))) :rule symm :premises (a22))
% 0.21/0.57  (step t25 (cl (not (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied)))) (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied))) :rule or_pos)
% 0.21/0.57  (step t26 (cl (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.liar tptp.b)) (not (tptp.a_truth tptp.a_has_lied)) (not (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied))))) :rule reordering :premises (t25))
% 0.21/0.57  (step t27 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))) (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y))))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t28)
% 0.21/0.57  (assume t28.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))))
% 0.21/0.57  (step t28.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y))))) (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied))))) :rule forall_inst :args ((:= X tptp.b) (:= Y tptp.a_has_lied)))
% 0.21/0.57  (step t28.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y))))) (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied)))) :rule or :premises (t28.t1))
% 0.21/0.57  (step t28.t3 (cl (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied)))) :rule resolution :premises (t28.t2 t28.a0))
% 0.21/0.57  (step t28 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y))))) (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied)))) :rule subproof :discharge (t28.a0))
% 0.21/0.57  (step t29 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))) (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied)))) (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied)))) :rule resolution :premises (t27 t28))
% 0.21/0.57  (step t30 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))) (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied)))) (not (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied))))) :rule implies_neg2)
% 0.21/0.57  (step t31 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))) (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))) (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied))))) :rule resolution :premises (t29 t30))
% 0.21/0.57  (step t32 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))) (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied))))) :rule contraction :premises (t31))
% 0.21/0.57  (step t33 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y))))) (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied)))) :rule implies :premises (t32))
% 0.21/0.57  (step t34 (cl (or (not (tptp.liar tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied)))) :rule resolution :premises (t33 a15))
% 0.21/0.57  (step t35 (cl (not (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b))) (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b)) :rule or_pos)
% 0.21/0.57  (step t36 (cl (not (tptp.female tptp.b)) (not (tptp.from_mars tptp.b)) (tptp.liar tptp.b) (not (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b)))) :rule reordering :premises (t35))
% 0.21/0.57  (step t37 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))) (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b))) (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X)))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t38)
% 0.21/0.57  (assume t38.a0 (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))))
% 0.21/0.57  (step t38.t1 (cl (or (not (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X)))) (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b)))) :rule forall_inst :args ((:= X tptp.b)))
% 0.21/0.57  (step t38.t2 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X)))) (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b))) :rule or :premises (t38.t1))
% 0.21/0.57  (step t38.t3 (cl (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b))) :rule resolution :premises (t38.t2 t38.a0))
% 0.21/0.57  (step t38 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X)))) (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b))) :rule subproof :discharge (t38.a0))
% 0.21/0.57  (step t39 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))) (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b))) (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b))) :rule resolution :premises (t37 t38))
% 0.21/0.57  (step t40 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))) (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b))) (not (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b)))) :rule implies_neg2)
% 0.21/0.57  (step t41 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))) (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b))) (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))) (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b)))) :rule resolution :premises (t39 t40))
% 0.21/0.57  (step t42 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X))) (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b)))) :rule contraction :premises (t41))
% 0.21/0.57  (step t43 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.female X)) (tptp.liar X)))) (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b))) :rule implies :premises (t42))
% 0.21/0.57  (step t44 (cl (or (not (tptp.from_mars tptp.b)) (not (tptp.female tptp.b)) (tptp.liar tptp.b))) :rule resolution :premises (t43 a13))
% 0.21/0.57  (step t45 (cl (not (tptp.male tptp.a)) (tptp.female tptp.b)) :rule or :premises (a25))
% 0.21/0.57  (step t46 (cl (not (or (tptp.male tptp.a) (tptp.female tptp.a))) (tptp.male tptp.a) (tptp.female tptp.a)) :rule or_pos)
% 0.21/0.57  (step t47 (cl (tptp.female tptp.a) (tptp.male tptp.a) (not (or (tptp.male tptp.a) (tptp.female tptp.a)))) :rule reordering :premises (t46))
% 0.21/0.57  (step t48 (cl (=> (forall ((X $$unsorted)) (or (tptp.male X) (tptp.female X))) (or (tptp.male tptp.a) (tptp.female tptp.a))) (forall ((X $$unsorted)) (or (tptp.male X) (tptp.female X)))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t49)
% 0.21/0.57  (assume t49.a0 (forall ((X $$unsorted)) (or (tptp.male X) (tptp.female X))))
% 0.21/0.57  (step t49.t1 (cl (or (not (forall ((X $$unsorted)) (or (tptp.male X) (tptp.female X)))) (or (tptp.male tptp.a) (tptp.female tptp.a)))) :rule forall_inst :args ((:= X tptp.a)))
% 0.21/0.57  (step t49.t2 (cl (not (forall ((X $$unsorted)) (or (tptp.male X) (tptp.female X)))) (or (tptp.male tptp.a) (tptp.female tptp.a))) :rule or :premises (t49.t1))
% 0.21/0.57  (step t49.t3 (cl (or (tptp.male tptp.a) (tptp.female tptp.a))) :rule resolution :premises (t49.t2 t49.a0))
% 0.21/0.57  (step t49 (cl (not (forall ((X $$unsorted)) (or (tptp.male X) (tptp.female X)))) (or (tptp.male tptp.a) (tptp.female tptp.a))) :rule subproof :discharge (t49.a0))
% 0.21/0.57  (step t50 (cl (=> (forall ((X $$unsorted)) (or (tptp.male X) (tptp.female X))) (or (tptp.male tptp.a) (tptp.female tptp.a))) (or (tptp.male tptp.a) (tptp.female tptp.a))) :rule resolution :premises (t48 t49))
% 0.21/0.57  (step t51 (cl (=> (forall ((X $$unsorted)) (or (tptp.male X) (tptp.female X))) (or (tptp.male tptp.a) (tptp.female tptp.a))) (not (or (tptp.male tptp.a) (tptp.female tptp.a)))) :rule implies_neg2)
% 0.21/0.57  (step t52 (cl (=> (forall ((X $$unsorted)) (or (tptp.male X) (tptp.female X))) (or (tptp.male tptp.a) (tptp.female tptp.a))) (=> (forall ((X $$unsorted)) (or (tptp.male X) (tptp.female X))) (or (tptp.male tptp.a) (tptp.female tptp.a)))) :rule resolution :premises (t50 t51))
% 0.21/0.57  (step t53 (cl (=> (forall ((X $$unsorted)) (or (tptp.male X) (tptp.female X))) (or (tptp.male tptp.a) (tptp.female tptp.a)))) :rule contraction :premises (t52))
% 0.21/0.57  (step t54 (cl (not (forall ((X $$unsorted)) (or (tptp.male X) (tptp.female X)))) (or (tptp.male tptp.a) (tptp.female tptp.a))) :rule implies :premises (t53))
% 0.21/0.57  (step t55 (cl (or (tptp.male tptp.a) (tptp.female tptp.a))) :rule resolution :premises (t54 a2))
% 0.21/0.57  (step t56 (cl (not (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a))) (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a)) :rule or_pos)
% 0.21/0.57  (step t57 (cl (not (tptp.female tptp.a)) (not (tptp.from_venus tptp.a)) (tptp.truthteller tptp.a) (not (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a)))) :rule reordering :premises (t56))
% 0.21/0.57  (step t58 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))) (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a))) (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X)))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t59)
% 0.21/0.57  (assume t59.a0 (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))))
% 0.21/0.57  (step t59.t1 (cl (or (not (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X)))) (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a)))) :rule forall_inst :args ((:= X tptp.a)))
% 0.21/0.57  (step t59.t2 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X)))) (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a))) :rule or :premises (t59.t1))
% 0.21/0.57  (step t59.t3 (cl (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a))) :rule resolution :premises (t59.t2 t59.a0))
% 0.21/0.57  (step t59 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X)))) (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a))) :rule subproof :discharge (t59.a0))
% 0.21/0.57  (step t60 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))) (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a))) (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a))) :rule resolution :premises (t58 t59))
% 0.21/0.57  (step t61 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))) (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a))) (not (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a)))) :rule implies_neg2)
% 0.21/0.57  (step t62 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))) (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a))) (=> (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))) (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a)))) :rule resolution :premises (t60 t61))
% 0.21/0.57  (step t63 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))) (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a)))) :rule contraction :premises (t62))
% 0.21/0.57  (step t64 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X)))) (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a))) :rule implies :premises (t63))
% 0.21/0.57  (step t65 (cl (or (not (tptp.from_venus tptp.a)) (not (tptp.female tptp.a)) (tptp.truthteller tptp.a))) :rule resolution :premises (t64 a10))
% 0.21/0.57  (step t66 (cl (not (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars))) (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars)) :rule or_pos)
% 0.21/0.57  (step t67 (cl (tptp.a_truth tptp.a_from_mars) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.truthteller tptp.a)) (not (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars)))) :rule reordering :premises (t66))
% 0.21/0.57  (step t68 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))) (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y)))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t69)
% 0.21/0.57  (assume t69.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))))
% 0.21/0.57  (step t69.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y)))) (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars)))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.a_from_mars)))
% 0.21/0.57  (step t69.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y)))) (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars))) :rule or :premises (t69.t1))
% 0.21/0.57  (step t69.t3 (cl (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars))) :rule resolution :premises (t69.t2 t69.a0))
% 0.21/0.57  (step t69 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y)))) (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars))) :rule subproof :discharge (t69.a0))
% 0.21/0.57  (step t70 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))) (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars))) (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars))) :rule resolution :premises (t68 t69))
% 0.21/0.57  (step t71 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))) (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars))) (not (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars)))) :rule implies_neg2)
% 0.21/0.57  (step t72 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))) (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))) (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars)))) :rule resolution :premises (t70 t71))
% 0.21/0.57  (step t73 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))) (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars)))) :rule contraction :premises (t72))
% 0.21/0.57  (step t74 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y)))) (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars))) :rule implies :premises (t73))
% 0.21/0.57  (step t75 (cl (or (not (tptp.truthteller tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (tptp.a_truth tptp.a_from_mars))) :rule resolution :premises (t74 a14))
% 0.21/0.57  (step t76 (cl (tptp.a_truth tptp.a_from_mars) (tptp.a_truth (tptp.statement_by tptp.b))) :rule or :premises (a23))
% 0.21/0.57  (step t77 (cl (not (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a))) (tptp.from_mars tptp.a) (tptp.from_venus tptp.a)) :rule or_pos)
% 0.21/0.57  (step t78 (cl (tptp.from_mars tptp.a) (tptp.from_venus tptp.a) (not (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a)))) :rule reordering :premises (t77))
% 0.21/0.57  (step t79 (cl (=> (forall ((X $$unsorted)) (or (tptp.from_mars X) (tptp.from_venus X))) (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a))) (forall ((X $$unsorted)) (or (tptp.from_mars X) (tptp.from_venus X)))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t80)
% 0.21/0.57  (assume t80.a0 (forall ((X $$unsorted)) (or (tptp.from_mars X) (tptp.from_venus X))))
% 0.21/0.57  (step t80.t1 (cl (or (not (forall ((X $$unsorted)) (or (tptp.from_mars X) (tptp.from_venus X)))) (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a)))) :rule forall_inst :args ((:= X tptp.a)))
% 0.21/0.57  (step t80.t2 (cl (not (forall ((X $$unsorted)) (or (tptp.from_mars X) (tptp.from_venus X)))) (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a))) :rule or :premises (t80.t1))
% 0.21/0.57  (step t80.t3 (cl (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a))) :rule resolution :premises (t80.t2 t80.a0))
% 0.21/0.57  (step t80 (cl (not (forall ((X $$unsorted)) (or (tptp.from_mars X) (tptp.from_venus X)))) (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a))) :rule subproof :discharge (t80.a0))
% 0.21/0.57  (step t81 (cl (=> (forall ((X $$unsorted)) (or (tptp.from_mars X) (tptp.from_venus X))) (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a))) (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a))) :rule resolution :premises (t79 t80))
% 0.21/0.57  (step t82 (cl (=> (forall ((X $$unsorted)) (or (tptp.from_mars X) (tptp.from_venus X))) (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a))) (not (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a)))) :rule implies_neg2)
% 0.21/0.57  (step t83 (cl (=> (forall ((X $$unsorted)) (or (tptp.from_mars X) (tptp.from_venus X))) (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a))) (=> (forall ((X $$unsorted)) (or (tptp.from_mars X) (tptp.from_venus X))) (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a)))) :rule resolution :premises (t81 t82))
% 0.21/0.57  (step t84 (cl (=> (forall ((X $$unsorted)) (or (tptp.from_mars X) (tptp.from_venus X))) (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a)))) :rule contraction :premises (t83))
% 0.21/0.57  (step t85 (cl (not (forall ((X $$unsorted)) (or (tptp.from_mars X) (tptp.from_venus X)))) (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a))) :rule implies :premises (t84))
% 0.21/0.57  (step t86 (cl (or (tptp.from_mars tptp.a) (tptp.from_venus tptp.a))) :rule resolution :premises (t85 a0))
% 0.21/0.57  (step t87 (cl (tptp.from_mars tptp.b) (tptp.from_mars tptp.a)) :rule or :premises (a26))
% 0.21/0.57  (step t88 (cl (tptp.from_mars tptp.a) (tptp.from_mars tptp.b)) :rule reordering :premises (t87))
% 0.21/0.57  (step t89 (cl (tptp.a_truth tptp.a_from_mars) (tptp.a_truth tptp.a_from_mars) (tptp.from_mars tptp.a) (tptp.from_mars tptp.a)) :rule resolution :premises (t23 t24 t26 t34 a17 t36 t44 t45 t47 t55 t57 t65 t67 t75 a16 t76 t78 t86 t88))
% 0.21/0.57  (step t90 (cl (tptp.a_truth tptp.a_from_mars) (tptp.from_mars tptp.a)) :rule contraction :premises (t89))
% 0.21/0.57  (step t91 (cl (tptp.from_mars tptp.a) (not (tptp.a_truth tptp.a_from_mars))) :rule or :premises (a19))
% 0.21/0.57  (step t92 (cl (tptp.from_mars tptp.a) (tptp.from_mars tptp.a)) :rule resolution :premises (t90 t91))
% 0.21/0.57  (step t93 (cl (tptp.from_mars tptp.a)) :rule contraction :premises (t92))
% 0.21/0.57  (step t94 (cl (not (tptp.male tptp.a)) (tptp.female tptp.b)) :rule or :premises (a25))
% 0.21/0.57  (step t95 (cl (not (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b))) (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b)) :rule or_pos)
% 0.21/0.57  (step t96 (cl (not (tptp.female tptp.b)) (not (tptp.from_venus tptp.b)) (tptp.truthteller tptp.b) (not (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b)))) :rule reordering :premises (t95))
% 0.21/0.57  (step t97 (cl (tptp.from_venus tptp.a) (tptp.from_venus tptp.b)) :rule or :premises (a27))
% 0.21/0.57  (step t98 (cl (not (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a)))) (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a))) :rule or_pos)
% 0.21/0.57  (step t99 (cl (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a)) (not (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a))))) :rule reordering :premises (t98))
% 0.21/0.57  (step t100 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.from_venus X)))) (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a)))) (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.from_venus X))))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t101)
% 0.21/0.57  (assume t101.a0 (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.from_venus X)))))
% 0.21/0.57  (step t101.t1 (cl (or (not (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.from_venus X))))) (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a))))) :rule forall_inst :args ((:= X tptp.a)))
% 0.21/0.57  (step t101.t2 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.from_venus X))))) (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a)))) :rule or :premises (t101.t1))
% 0.21/0.57  (step t101.t3 (cl (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a)))) :rule resolution :premises (t101.t2 t101.a0))
% 0.21/0.57  (step t101 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.from_venus X))))) (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a)))) :rule subproof :discharge (t101.a0))
% 0.21/0.57  (step t102 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.from_venus X)))) (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a)))) (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a)))) :rule resolution :premises (t100 t101))
% 0.21/0.57  (step t103 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.from_venus X)))) (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a)))) (not (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a))))) :rule implies_neg2)
% 0.21/0.57  (step t104 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.from_venus X)))) (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a)))) (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.from_venus X)))) (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a))))) :rule resolution :premises (t102 t103))
% 0.21/0.57  (step t105 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.from_venus X)))) (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a))))) :rule contraction :premises (t104))
% 0.21/0.57  (step t106 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_mars X)) (not (tptp.from_venus X))))) (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a)))) :rule implies :premises (t105))
% 0.21/0.57  (step t107 (cl (or (not (tptp.from_mars tptp.a)) (not (tptp.from_venus tptp.a)))) :rule resolution :premises (t106 a1))
% 0.21/0.57  (step t108 (cl (not (tptp.from_venus tptp.a))) :rule resolution :premises (t99 t93 t107))
% 0.21/0.57  (step t109 (cl (tptp.from_venus tptp.b)) :rule resolution :premises (t97 t108))
% 0.21/0.57  (step t110 (cl (not (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied))) (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied)) :rule or_pos)
% 0.21/0.57  (step t111 (cl (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied) (not (tptp.truthteller tptp.b)) (not (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied)))) :rule reordering :premises (t110))
% 0.21/0.57  (step t112 (cl (not (= (or (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (or (tptp.a_truth (tptp.statement_by tptp.b)) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))))) (not (or (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied)))) (or (tptp.a_truth (tptp.statement_by tptp.b)) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied)))) :rule equiv_pos2)
% 0.21/0.57  (step t113 (cl (= (= (= (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (tptp.a_truth (tptp.statement_by tptp.b))) true) (= (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (tptp.a_truth (tptp.statement_by tptp.b))))) :rule equiv_simplify)
% 0.21/0.57  (step t114 (cl (not (= (= (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (tptp.a_truth (tptp.statement_by tptp.b))) true)) (= (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (tptp.a_truth (tptp.statement_by tptp.b)))) :rule equiv1 :premises (t113))
% 0.21/0.57  (step t115 (cl (= (= (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (tptp.a_truth (tptp.statement_by tptp.b))) (= (tptp.a_truth (tptp.statement_by tptp.b)) (not (not (tptp.a_truth (tptp.statement_by tptp.b))))))) :rule all_simplify)
% 0.21/0.57  (step t116 (cl (= (tptp.a_truth (tptp.statement_by tptp.b)) (tptp.a_truth (tptp.statement_by tptp.b)))) :rule refl)
% 0.21/0.57  (step t117 (cl (= (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (tptp.a_truth (tptp.statement_by tptp.b)))) :rule all_simplify)
% 0.21/0.57  (step t118 (cl (= (= (tptp.a_truth (tptp.statement_by tptp.b)) (not (not (tptp.a_truth (tptp.statement_by tptp.b))))) (= (tptp.a_truth (tptp.statement_by tptp.b)) (tptp.a_truth (tptp.statement_by tptp.b))))) :rule cong :premises (t116 t117))
% 0.21/0.57  (step t119 (cl (= (= (tptp.a_truth (tptp.statement_by tptp.b)) (tptp.a_truth (tptp.statement_by tptp.b))) true)) :rule all_simplify)
% 0.21/0.57  (step t120 (cl (= (= (tptp.a_truth (tptp.statement_by tptp.b)) (not (not (tptp.a_truth (tptp.statement_by tptp.b))))) true)) :rule trans :premises (t118 t119))
% 0.21/0.57  (step t121 (cl (= (= (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (tptp.a_truth (tptp.statement_by tptp.b))) true)) :rule trans :premises (t115 t120))
% 0.21/0.57  (step t122 (cl (= (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (tptp.a_truth (tptp.statement_by tptp.b)))) :rule resolution :premises (t114 t121))
% 0.21/0.57  (step t123 (cl (= (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))))) :rule refl)
% 0.21/0.57  (step t124 (cl (= (not (tptp.a_truth tptp.a_has_lied)) (not (tptp.a_truth tptp.a_has_lied)))) :rule refl)
% 0.21/0.57  (step t125 (cl (= (or (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (or (tptp.a_truth (tptp.statement_by tptp.b)) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))))) :rule cong :premises (t122 t123 t124))
% 0.21/0.57  (step t126 (cl (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b)))) :rule and_neg)
% 0.21/0.57  (step t127 (cl (=> (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t128)
% 0.21/0.57  (assume t128.a0 (not (tptp.a_truth (tptp.statement_by tptp.b))))
% 0.21/0.57  (assume t128.a1 (= tptp.a_has_lied (tptp.statement_by tptp.b)))
% 0.21/0.57  (step t128.t1 (cl (=> (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t128.t2)
% 0.21/0.57  (assume t128.t2.a0 (not (tptp.a_truth (tptp.statement_by tptp.b))))
% 0.21/0.57  (assume t128.t2.a1 (= tptp.a_has_lied (tptp.statement_by tptp.b)))
% 0.21/0.57  (step t128.t2.t1 (cl (= (= (tptp.a_truth tptp.a_has_lied) false) (not (tptp.a_truth tptp.a_has_lied)))) :rule equiv_simplify)
% 0.21/0.57  (step t128.t2.t2 (cl (not (= (tptp.a_truth tptp.a_has_lied) false)) (not (tptp.a_truth tptp.a_has_lied))) :rule equiv1 :premises (t128.t2.t1))
% 0.21/0.57  (step t128.t2.t3 (cl (= (tptp.statement_by tptp.b) tptp.a_has_lied)) :rule symm :premises (t128.t2.a1))
% 0.21/0.57  (step t128.t2.t4 (cl (= tptp.a_has_lied (tptp.statement_by tptp.b))) :rule symm :premises (t128.t2.t3))
% 0.21/0.57  (step t128.t2.t5 (cl (= (tptp.a_truth tptp.a_has_lied) (tptp.a_truth (tptp.statement_by tptp.b)))) :rule cong :premises (t128.t2.t4))
% 0.21/0.57  (step t128.t2.t6 (cl (= (= (tptp.a_truth (tptp.statement_by tptp.b)) false) (not (tptp.a_truth (tptp.statement_by tptp.b))))) :rule equiv_simplify)
% 0.21/0.57  (step t128.t2.t7 (cl (= (tptp.a_truth (tptp.statement_by tptp.b)) false) (not (not (tptp.a_truth (tptp.statement_by tptp.b))))) :rule equiv2 :premises (t128.t2.t6))
% 0.21/0.57  (step t128.t2.t8 (cl (not (not (not (tptp.a_truth (tptp.statement_by tptp.b))))) (tptp.a_truth (tptp.statement_by tptp.b))) :rule not_not)
% 0.21/0.57  (step t128.t2.t9 (cl (= (tptp.a_truth (tptp.statement_by tptp.b)) false) (tptp.a_truth (tptp.statement_by tptp.b))) :rule resolution :premises (t128.t2.t7 t128.t2.t8))
% 0.21/0.57  (step t128.t2.t10 (cl (= (tptp.a_truth (tptp.statement_by tptp.b)) false)) :rule resolution :premises (t128.t2.t9 t128.t2.a0))
% 0.21/0.57  (step t128.t2.t11 (cl (= (tptp.a_truth tptp.a_has_lied) false)) :rule trans :premises (t128.t2.t5 t128.t2.t10))
% 0.21/0.57  (step t128.t2.t12 (cl (not (tptp.a_truth tptp.a_has_lied))) :rule resolution :premises (t128.t2.t2 t128.t2.t11))
% 0.21/0.57  (step t128.t2 (cl (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) :rule subproof :discharge (t128.t2.a0 t128.t2.a1))
% 0.21/0.57  (step t128.t3 (cl (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (tptp.a_truth (tptp.statement_by tptp.b)))) :rule and_pos)
% 0.21/0.57  (step t128.t4 (cl (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) :rule and_pos)
% 0.21/0.57  (step t128.t5 (cl (not (tptp.a_truth tptp.a_has_lied)) (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))))) :rule resolution :premises (t128.t2 t128.t3 t128.t4))
% 0.21/0.57  (step t128.t6 (cl (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (tptp.a_truth tptp.a_has_lied))) :rule reordering :premises (t128.t5))
% 0.21/0.57  (step t128.t7 (cl (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (tptp.a_truth tptp.a_has_lied))) :rule contraction :premises (t128.t6))
% 0.21/0.57  (step t128.t8 (cl (=> (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (not (tptp.a_truth tptp.a_has_lied))) :rule resolution :premises (t128.t1 t128.t7))
% 0.21/0.57  (step t128.t9 (cl (=> (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (not (not (tptp.a_truth tptp.a_has_lied)))) :rule implies_neg2)
% 0.21/0.57  (step t128.t10 (cl (=> (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (=> (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied)))) :rule resolution :premises (t128.t8 t128.t9))
% 0.21/0.57  (step t128.t11 (cl (=> (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied)))) :rule contraction :premises (t128.t10))
% 0.21/0.57  (step t128.t12 (cl (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (tptp.a_truth tptp.a_has_lied))) :rule implies :premises (t128.t11))
% 0.21/0.57  (step t128.t13 (cl (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b)))) :rule and_neg)
% 0.21/0.57  (step t128.t14 (cl (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) :rule resolution :premises (t128.t13 t128.a0 t128.a1))
% 0.21/0.57  (step t128.t15 (cl (not (tptp.a_truth tptp.a_has_lied))) :rule resolution :premises (t128.t12 t128.t14))
% 0.21/0.57  (step t128 (cl (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) :rule subproof :discharge (t128.a0 t128.a1))
% 0.21/0.57  (step t129 (cl (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (tptp.a_truth (tptp.statement_by tptp.b)))) :rule and_pos)
% 0.21/0.57  (step t130 (cl (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) :rule and_pos)
% 0.21/0.57  (step t131 (cl (not (tptp.a_truth tptp.a_has_lied)) (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))))) :rule resolution :premises (t128 t129 t130))
% 0.21/0.57  (step t132 (cl (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (tptp.a_truth tptp.a_has_lied))) :rule reordering :premises (t131))
% 0.21/0.57  (step t133 (cl (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (tptp.a_truth tptp.a_has_lied))) :rule contraction :premises (t132))
% 0.21/0.57  (step t134 (cl (=> (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (not (tptp.a_truth tptp.a_has_lied))) :rule resolution :premises (t127 t133))
% 0.21/0.57  (step t135 (cl (=> (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (not (not (tptp.a_truth tptp.a_has_lied)))) :rule implies_neg2)
% 0.21/0.57  (step t136 (cl (=> (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (=> (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied)))) :rule resolution :premises (t134 t135))
% 0.21/0.57  (step t137 (cl (=> (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied)))) :rule contraction :premises (t136))
% 0.21/0.57  (step t138 (cl (not (and (not (tptp.a_truth (tptp.statement_by tptp.b))) (= tptp.a_has_lied (tptp.statement_by tptp.b)))) (not (tptp.a_truth tptp.a_has_lied))) :rule implies :premises (t137))
% 0.21/0.57  (step t139 (cl (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) :rule resolution :premises (t126 t138))
% 0.21/0.57  (step t140 (cl (or (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (not (not (not (tptp.a_truth (tptp.statement_by tptp.b)))))) :rule or_neg)
% 0.21/0.57  (step t141 (cl (or (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (not (not (= tptp.a_has_lied (tptp.statement_by tptp.b))))) :rule or_neg)
% 0.21/0.57  (step t142 (cl (or (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (not (not (tptp.a_truth tptp.a_has_lied)))) :rule or_neg)
% 0.21/0.57  (step t143 (cl (or (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (or (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) (or (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied)))) :rule resolution :premises (t139 t140 t141 t142))
% 0.21/0.57  (step t144 (cl (or (not (not (tptp.a_truth (tptp.statement_by tptp.b)))) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied)))) :rule contraction :premises (t143))
% 0.21/0.57  (step t145 (cl (or (tptp.a_truth (tptp.statement_by tptp.b)) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied)))) :rule resolution :premises (t112 t125 t144))
% 0.21/0.57  (step t146 (cl (tptp.a_truth (tptp.statement_by tptp.b)) (not (= tptp.a_has_lied (tptp.statement_by tptp.b))) (not (tptp.a_truth tptp.a_has_lied))) :rule or :premises (t145))
% 0.21/0.57  (step t147 (cl (not (tptp.a_truth tptp.a_from_mars)) (not (tptp.a_truth (tptp.statement_by tptp.b)))) :rule or :premises (a20))
% 0.21/0.57  (step t148 (cl (not (tptp.from_mars tptp.a)) (tptp.a_truth tptp.a_from_mars)) :rule or :premises (a18))
% 0.21/0.57  (step t149 (cl (tptp.a_truth tptp.a_from_mars)) :rule resolution :premises (t148 t93))
% 0.21/0.57  (step t150 (cl (not (tptp.a_truth (tptp.statement_by tptp.b)))) :rule resolution :premises (t147 t149))
% 0.21/0.57  (step t151 (cl (= tptp.a_has_lied (tptp.statement_by tptp.b))) :rule symm :premises (a22))
% 0.21/0.57  (step t152 (cl (not (tptp.a_truth tptp.a_has_lied))) :rule resolution :premises (t146 t150 t151))
% 0.21/0.57  (step t153 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))) (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y)))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t154)
% 0.21/0.57  (assume t154.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))))
% 0.21/0.57  (step t154.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y)))) (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied)))) :rule forall_inst :args ((:= X tptp.b) (:= Y tptp.a_has_lied)))
% 0.21/0.57  (step t154.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y)))) (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied))) :rule or :premises (t154.t1))
% 0.21/0.57  (step t154.t3 (cl (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied))) :rule resolution :premises (t154.t2 t154.a0))
% 0.21/0.57  (step t154 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y)))) (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied))) :rule subproof :discharge (t154.a0))
% 0.21/0.57  (step t155 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))) (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied))) (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied))) :rule resolution :premises (t153 t154))
% 0.21/0.57  (step t156 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))) (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied))) (not (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied)))) :rule implies_neg2)
% 0.21/0.57  (step t157 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))) (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))) (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied)))) :rule resolution :premises (t155 t156))
% 0.21/0.57  (step t158 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y))) (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied)))) :rule contraction :premises (t157))
% 0.21/0.57  (step t159 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.truthteller X)) (not (tptp.says X Y)) (tptp.a_truth Y)))) (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied))) :rule implies :premises (t158))
% 0.21/0.57  (step t160 (cl (or (not (tptp.truthteller tptp.b)) (not (tptp.says tptp.b tptp.a_has_lied)) (tptp.a_truth tptp.a_has_lied))) :rule resolution :premises (t159 a14))
% 0.21/0.57  (step t161 (cl (not (tptp.truthteller tptp.b))) :rule resolution :premises (t111 a17 t152 t160))
% 0.21/0.57  (step t162 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))) (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b))) (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X)))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t163)
% 0.21/0.57  (assume t163.a0 (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))))
% 0.21/0.57  (step t163.t1 (cl (or (not (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X)))) (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b)))) :rule forall_inst :args ((:= X tptp.b)))
% 0.21/0.57  (step t163.t2 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X)))) (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b))) :rule or :premises (t163.t1))
% 0.21/0.57  (step t163.t3 (cl (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b))) :rule resolution :premises (t163.t2 t163.a0))
% 0.21/0.57  (step t163 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X)))) (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b))) :rule subproof :discharge (t163.a0))
% 0.21/0.57  (step t164 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))) (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b))) (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b))) :rule resolution :premises (t162 t163))
% 0.21/0.57  (step t165 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))) (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b))) (not (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b)))) :rule implies_neg2)
% 0.21/0.57  (step t166 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))) (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b))) (=> (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))) (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b)))) :rule resolution :premises (t164 t165))
% 0.21/0.57  (step t167 (cl (=> (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X))) (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b)))) :rule contraction :premises (t166))
% 0.21/0.57  (step t168 (cl (not (forall ((X $$unsorted)) (or (not (tptp.from_venus X)) (not (tptp.female X)) (tptp.truthteller X)))) (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b))) :rule implies :premises (t167))
% 0.21/0.57  (step t169 (cl (or (not (tptp.from_venus tptp.b)) (not (tptp.female tptp.b)) (tptp.truthteller tptp.b))) :rule resolution :premises (t168 a10))
% 0.21/0.57  (step t170 (cl (not (tptp.female tptp.b))) :rule resolution :premises (t96 t109 t161 t169))
% 0.21/0.57  (step t171 (cl (not (tptp.male tptp.a))) :rule resolution :premises (t94 t170))
% 0.21/0.57  (step t172 (cl (tptp.female tptp.a)) :rule resolution :premises (t47 t171 t55))
% 0.21/0.57  (step t173 (cl (not (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars)))) (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars))) :rule or_pos)
% 0.21/0.57  (step t174 (cl (not (tptp.a_truth tptp.a_from_mars)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.liar tptp.a)) (not (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars))))) :rule reordering :premises (t173))
% 0.21/0.57  (step t175 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))) (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y))))) :rule implies_neg1)
% 0.21/0.57  (anchor :step t176)
% 0.21/0.57  (assume t176.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))))
% 0.21/0.57  (step t176.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y))))) (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars))))) :rule forall_inst :args ((:= X tptp.a) (:= Y tptp.a_from_mars)))
% 0.21/0.57  (step t176.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y))))) (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars)))) :rule or :premises (t176.t1))
% 0.21/0.57  (step t176.t3 (cl (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars)))) :rule resolution :premises (t176.t2 t176.a0))
% 0.21/0.57  (step t176 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y))))) (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars)))) :rule subproof :discharge (t176.a0))
% 0.21/0.57  (step t177 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))) (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars)))) (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars)))) :rule resolution :premises (t175 t176))
% 0.21/0.57  (step t178 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))) (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars)))) (not (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars))))) :rule implies_neg2)
% 0.21/0.57  (step t179 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))) (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))) (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars))))) :rule resolution :premises (t177 t178))
% 0.21/0.57  (step t180 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y)))) (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars))))) :rule contraction :premises (t179))
% 0.21/0.57  (step t181 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.liar X)) (not (tptp.says X Y)) (not (tptp.a_truth Y))))) (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars)))) :rule implies :premises (t180))
% 0.21/0.57  (step t182 (cl (or (not (tptp.liar tptp.a)) (not (tptp.says tptp.a tptp.a_from_mars)) (not (tptp.a_truth tptp.a_from_mars)))) :rule resolution :premises (t181 a15))
% 0.21/0.57  (step t183 (cl (not (tptp.liar tptp.a))) :rule resolution :premises (t174 t149 a16 t182))
% 0.21/0.57  (step t184 (cl (not (or (not (tptp.from_mars tptp.a)) (not (tptp.female tptp.a)) (tptp.liar tptp.a)))) :rule resolution :premises (t9 t93 t172 t183))
% 0.21/0.57  (step t185 (cl) :rule resolution :premises (t7 t184 a13))
% 0.21/0.57  
% 0.21/0.57  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.DzE2gHLDts/cvc5---1.0.5_22448.smt2
% 0.40/0.58  % cvc5---1.0.5 exiting
% 0.40/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------