TSTP Solution File: SWV818-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV818-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n007.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 18:16:11 EDT 2024
% Result : Unsatisfiable 0.18s 0.47s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV818-1 : TPTP v8.2.0. Released v4.1.0.
% 0.10/0.12 % Command : do_cvc5 %s %d
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun May 26 22:31:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.45 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.hZuAwE0wWG/cvc5---1.0.5_22303.smt2
% 0.18/0.47 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.hZuAwE0wWG/cvc5---1.0.5_22303.smt2
% 0.18/0.47 (assume a0 (forall ((V_s $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Code__Evaluation_Otracing V_s V_x T_a) V_x)))
% 0.18/0.47 (assume a1 (= (tptp.c_Code__Evaluation_Otracing tptp.v_s tptp.v_x tptp.t_a) tptp.v_x))
% 0.18/0.47 (assume a2 (not (= tptp.v_s tptp.v_t)))
% 0.18/0.47 (assume a3 (forall ((V_s $$unsorted)) (= V_s tptp.v_ta)))
% 0.18/0.47 (step t1 (cl (not (= (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_t)) (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_t tptp.v_ta)))) (not (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_t))) (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_t tptp.v_ta))) :rule equiv_pos2)
% 0.18/0.47 (step t2 (cl (= (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)))) :rule refl)
% 0.18/0.47 (step t3 (cl (= (= tptp.v_ta tptp.v_t) (= tptp.v_t tptp.v_ta))) :rule all_simplify)
% 0.18/0.47 (step t4 (cl (= (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_t)) (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_t tptp.v_ta)))) :rule cong :premises (t2 t3))
% 0.18/0.47 (step t5 (cl (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_t)) (forall ((V_s $$unsorted)) (= tptp.v_ta V_s))) :rule implies_neg1)
% 0.18/0.47 (anchor :step t6)
% 0.18/0.47 (assume t6.a0 (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)))
% 0.18/0.47 (step t6.t1 (cl (or (not (forall ((V_s $$unsorted)) (= tptp.v_ta V_s))) (= tptp.v_ta tptp.v_t))) :rule forall_inst :args ((:= V_s tptp.v_t)))
% 0.18/0.47 (step t6.t2 (cl (not (forall ((V_s $$unsorted)) (= tptp.v_ta V_s))) (= tptp.v_ta tptp.v_t)) :rule or :premises (t6.t1))
% 0.18/0.47 (step t6.t3 (cl (= tptp.v_ta tptp.v_t)) :rule resolution :premises (t6.t2 t6.a0))
% 0.18/0.47 (step t6 (cl (not (forall ((V_s $$unsorted)) (= tptp.v_ta V_s))) (= tptp.v_ta tptp.v_t)) :rule subproof :discharge (t6.a0))
% 0.18/0.47 (step t7 (cl (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_t)) (= tptp.v_ta tptp.v_t)) :rule resolution :premises (t5 t6))
% 0.18/0.47 (step t8 (cl (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_t)) (not (= tptp.v_ta tptp.v_t))) :rule implies_neg2)
% 0.18/0.47 (step t9 (cl (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_t)) (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_t))) :rule resolution :premises (t7 t8))
% 0.18/0.47 (step t10 (cl (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_t))) :rule contraction :premises (t9))
% 0.18/0.47 (step t11 (cl (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_t tptp.v_ta))) :rule resolution :premises (t1 t4 t10))
% 0.18/0.47 (step t12 (cl (not (forall ((V_s $$unsorted)) (= tptp.v_ta V_s))) (= tptp.v_t tptp.v_ta)) :rule implies :premises (t11))
% 0.18/0.47 (step t13 (cl (not (= (or (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) (or (= tptp.v_s tptp.v_t) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))))) (not (or (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta)))) (or (= tptp.v_s tptp.v_t) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta)))) :rule equiv_pos2)
% 0.18/0.47 (step t14 (cl (= (= (= (not (not (= tptp.v_s tptp.v_t))) (= tptp.v_s tptp.v_t)) true) (= (not (not (= tptp.v_s tptp.v_t))) (= tptp.v_s tptp.v_t)))) :rule equiv_simplify)
% 0.18/0.47 (step t15 (cl (not (= (= (not (not (= tptp.v_s tptp.v_t))) (= tptp.v_s tptp.v_t)) true)) (= (not (not (= tptp.v_s tptp.v_t))) (= tptp.v_s tptp.v_t))) :rule equiv1 :premises (t14))
% 0.18/0.47 (step t16 (cl (= (= (not (not (= tptp.v_s tptp.v_t))) (= tptp.v_s tptp.v_t)) (= (= tptp.v_s tptp.v_t) (not (not (= tptp.v_s tptp.v_t)))))) :rule all_simplify)
% 0.18/0.47 (step t17 (cl (= (= tptp.v_s tptp.v_t) (= tptp.v_s tptp.v_t))) :rule refl)
% 0.18/0.47 (step t18 (cl (= (not (not (= tptp.v_s tptp.v_t))) (= tptp.v_s tptp.v_t))) :rule all_simplify)
% 0.18/0.47 (step t19 (cl (= (= (= tptp.v_s tptp.v_t) (not (not (= tptp.v_s tptp.v_t)))) (= (= tptp.v_s tptp.v_t) (= tptp.v_s tptp.v_t)))) :rule cong :premises (t17 t18))
% 0.18/0.47 (step t20 (cl (= (= (= tptp.v_s tptp.v_t) (= tptp.v_s tptp.v_t)) true)) :rule all_simplify)
% 0.18/0.47 (step t21 (cl (= (= (= tptp.v_s tptp.v_t) (not (not (= tptp.v_s tptp.v_t)))) true)) :rule trans :premises (t19 t20))
% 0.18/0.47 (step t22 (cl (= (= (not (not (= tptp.v_s tptp.v_t))) (= tptp.v_s tptp.v_t)) true)) :rule trans :premises (t16 t21))
% 0.18/0.47 (step t23 (cl (= (not (not (= tptp.v_s tptp.v_t))) (= tptp.v_s tptp.v_t))) :rule resolution :premises (t15 t22))
% 0.18/0.47 (step t24 (cl (= (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_s tptp.v_ta)))) :rule refl)
% 0.18/0.47 (step t25 (cl (= (not (= tptp.v_t tptp.v_ta)) (not (= tptp.v_t tptp.v_ta)))) :rule refl)
% 0.18/0.47 (step t26 (cl (= (or (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) (or (= tptp.v_s tptp.v_t) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))))) :rule cong :premises (t23 t24 t25))
% 0.18/0.47 (step t27 (cl (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta)) (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta))) :rule and_neg)
% 0.18/0.47 (step t28 (cl (=> (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta))) :rule implies_neg1)
% 0.18/0.47 (anchor :step t29)
% 0.18/0.47 (assume t29.a0 (not (= tptp.v_s tptp.v_t)))
% 0.18/0.47 (assume t29.a1 (= tptp.v_s tptp.v_ta))
% 0.18/0.47 (step t29.t1 (cl (=> (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_t tptp.v_ta))) (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t)))) :rule implies_neg1)
% 0.18/0.47 (anchor :step t29.t2)
% 0.18/0.47 (assume t29.t2.a0 (= tptp.v_s tptp.v_ta))
% 0.18/0.47 (assume t29.t2.a1 (not (= tptp.v_s tptp.v_t)))
% 0.18/0.47 (step t29.t2.t1 (cl (= (= (= tptp.v_t tptp.v_ta) false) (not (= tptp.v_t tptp.v_ta)))) :rule equiv_simplify)
% 0.18/0.47 (step t29.t2.t2 (cl (not (= (= tptp.v_t tptp.v_ta) false)) (not (= tptp.v_t tptp.v_ta))) :rule equiv1 :premises (t29.t2.t1))
% 0.18/0.47 (step t29.t2.t3 (cl (not (= (= (= tptp.v_ta tptp.v_t) false) (= (= tptp.v_t tptp.v_ta) false))) (not (= (= tptp.v_ta tptp.v_t) false)) (= (= tptp.v_t tptp.v_ta) false)) :rule equiv_pos2)
% 0.18/0.47 (step t29.t2.t4 (cl (= (= (= tptp.v_ta tptp.v_t) false) (not (= tptp.v_ta tptp.v_t)))) :rule all_simplify)
% 0.18/0.47 (step t29.t2.t5 (cl (= (not (= tptp.v_ta tptp.v_t)) (not (= tptp.v_t tptp.v_ta)))) :rule cong :premises (t3))
% 0.18/0.47 (step t29.t2.t6 (cl (= (= (= tptp.v_ta tptp.v_t) false) (not (= tptp.v_t tptp.v_ta)))) :rule trans :premises (t29.t2.t4 t29.t2.t5))
% 0.18/0.47 (step t29.t2.t7 (cl (= (= (= tptp.v_t tptp.v_ta) false) (not (= tptp.v_t tptp.v_ta)))) :rule all_simplify)
% 0.18/0.47 (step t29.t2.t8 (cl (= (not (= tptp.v_t tptp.v_ta)) (= (= tptp.v_t tptp.v_ta) false))) :rule symm :premises (t29.t2.t7))
% 0.18/0.47 (step t29.t2.t9 (cl (= (= (= tptp.v_ta tptp.v_t) false) (= (= tptp.v_t tptp.v_ta) false))) :rule trans :premises (t29.t2.t6 t29.t2.t8))
% 0.18/0.47 (step t29.t2.t10 (cl (= tptp.v_ta tptp.v_s)) :rule symm :premises (t29.t2.a0))
% 0.18/0.47 (step t29.t2.t11 (cl (= tptp.v_t tptp.v_t)) :rule refl)
% 0.18/0.47 (step t29.t2.t12 (cl (= (= tptp.v_ta tptp.v_t) (= tptp.v_s tptp.v_t))) :rule cong :premises (t29.t2.t10 t29.t2.t11))
% 0.18/0.47 (step t29.t2.t13 (cl (= (= (= tptp.v_s tptp.v_t) false) (not (= tptp.v_s tptp.v_t)))) :rule equiv_simplify)
% 0.18/0.47 (step t29.t2.t14 (cl (= (= tptp.v_s tptp.v_t) false) (not (not (= tptp.v_s tptp.v_t)))) :rule equiv2 :premises (t29.t2.t13))
% 0.18/0.47 (step t29.t2.t15 (cl (not (not (not (= tptp.v_s tptp.v_t)))) (= tptp.v_s tptp.v_t)) :rule not_not)
% 0.18/0.47 (step t29.t2.t16 (cl (= (= tptp.v_s tptp.v_t) false) (= tptp.v_s tptp.v_t)) :rule resolution :premises (t29.t2.t14 t29.t2.t15))
% 0.18/0.47 (step t29.t2.t17 (cl (= (= tptp.v_s tptp.v_t) false)) :rule resolution :premises (t29.t2.t16 t29.t2.a1))
% 0.18/0.47 (step t29.t2.t18 (cl (= (= tptp.v_ta tptp.v_t) false)) :rule trans :premises (t29.t2.t12 t29.t2.t17))
% 0.18/0.47 (step t29.t2.t19 (cl (= (= tptp.v_t tptp.v_ta) false)) :rule resolution :premises (t29.t2.t3 t29.t2.t9 t29.t2.t18))
% 0.18/0.47 (step t29.t2.t20 (cl (not (= tptp.v_t tptp.v_ta))) :rule resolution :premises (t29.t2.t2 t29.t2.t19))
% 0.18/0.47 (step t29.t2 (cl (not (= tptp.v_s tptp.v_ta)) (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_t tptp.v_ta))) :rule subproof :discharge (t29.t2.a0 t29.t2.a1))
% 0.18/0.47 (step t29.t3 (cl (not (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t)))) (= tptp.v_s tptp.v_ta)) :rule and_pos)
% 0.18/0.47 (step t29.t4 (cl (not (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t)))) (not (= tptp.v_s tptp.v_t))) :rule and_pos)
% 0.18/0.47 (step t29.t5 (cl (not (= tptp.v_t tptp.v_ta)) (not (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t)))) (not (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t))))) :rule resolution :premises (t29.t2 t29.t3 t29.t4))
% 0.18/0.47 (step t29.t6 (cl (not (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t)))) (not (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t)))) (not (= tptp.v_t tptp.v_ta))) :rule reordering :premises (t29.t5))
% 0.18/0.47 (step t29.t7 (cl (not (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t)))) (not (= tptp.v_t tptp.v_ta))) :rule contraction :premises (t29.t6))
% 0.18/0.47 (step t29.t8 (cl (=> (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_t tptp.v_ta))) (not (= tptp.v_t tptp.v_ta))) :rule resolution :premises (t29.t1 t29.t7))
% 0.18/0.47 (step t29.t9 (cl (=> (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_t tptp.v_ta))) (not (not (= tptp.v_t tptp.v_ta)))) :rule implies_neg2)
% 0.18/0.47 (step t29.t10 (cl (=> (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_t tptp.v_ta))) (=> (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_t tptp.v_ta)))) :rule resolution :premises (t29.t8 t29.t9))
% 0.18/0.47 (step t29.t11 (cl (=> (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_t tptp.v_ta)))) :rule contraction :premises (t29.t10))
% 0.18/0.47 (step t29.t12 (cl (not (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t)))) (not (= tptp.v_t tptp.v_ta))) :rule implies :premises (t29.t11))
% 0.18/0.47 (step t29.t13 (cl (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta)) (not (not (= tptp.v_s tptp.v_t)))) :rule and_neg)
% 0.18/0.47 (step t29.t14 (cl (and (= tptp.v_s tptp.v_ta) (not (= tptp.v_s tptp.v_t)))) :rule resolution :premises (t29.t13 t29.a1 t29.a0))
% 0.18/0.47 (step t29.t15 (cl (not (= tptp.v_t tptp.v_ta))) :rule resolution :premises (t29.t12 t29.t14))
% 0.18/0.47 (step t29 (cl (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) :rule subproof :discharge (t29.a0 t29.a1))
% 0.18/0.47 (step t30 (cl (not (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta))) (not (= tptp.v_s tptp.v_t))) :rule and_pos)
% 0.18/0.47 (step t31 (cl (not (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta))) (= tptp.v_s tptp.v_ta)) :rule and_pos)
% 0.18/0.47 (step t32 (cl (not (= tptp.v_t tptp.v_ta)) (not (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta))) (not (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta)))) :rule resolution :premises (t29 t30 t31))
% 0.18/0.47 (step t33 (cl (not (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta))) (not (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta))) (not (= tptp.v_t tptp.v_ta))) :rule reordering :premises (t32))
% 0.18/0.47 (step t34 (cl (not (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta))) (not (= tptp.v_t tptp.v_ta))) :rule contraction :premises (t33))
% 0.18/0.47 (step t35 (cl (=> (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) (not (= tptp.v_t tptp.v_ta))) :rule resolution :premises (t28 t34))
% 0.18/0.47 (step t36 (cl (=> (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) (not (not (= tptp.v_t tptp.v_ta)))) :rule implies_neg2)
% 0.18/0.47 (step t37 (cl (=> (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) (=> (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta)))) :rule resolution :premises (t35 t36))
% 0.18/0.47 (step t38 (cl (=> (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta)))) :rule contraction :premises (t37))
% 0.18/0.47 (step t39 (cl (not (and (not (= tptp.v_s tptp.v_t)) (= tptp.v_s tptp.v_ta))) (not (= tptp.v_t tptp.v_ta))) :rule implies :premises (t38))
% 0.18/0.47 (step t40 (cl (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) :rule resolution :premises (t27 t39))
% 0.18/0.47 (step t41 (cl (or (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) (not (not (not (= tptp.v_s tptp.v_t))))) :rule or_neg)
% 0.18/0.47 (step t42 (cl (or (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) (not (not (= tptp.v_s tptp.v_ta)))) :rule or_neg)
% 0.18/0.47 (step t43 (cl (or (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) (not (not (= tptp.v_t tptp.v_ta)))) :rule or_neg)
% 0.18/0.47 (step t44 (cl (or (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) (or (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) (or (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta)))) :rule resolution :premises (t40 t41 t42 t43))
% 0.18/0.47 (step t45 (cl (or (not (not (= tptp.v_s tptp.v_t))) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta)))) :rule contraction :premises (t44))
% 0.18/0.47 (step t46 (cl (or (= tptp.v_s tptp.v_t) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta)))) :rule resolution :premises (t13 t26 t45))
% 0.18/0.47 (step t47 (cl (= tptp.v_s tptp.v_t) (not (= tptp.v_s tptp.v_ta)) (not (= tptp.v_t tptp.v_ta))) :rule or :premises (t46))
% 0.18/0.47 (step t48 (cl (not (= (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_s)) (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_s tptp.v_ta)))) (not (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_s))) (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_s tptp.v_ta))) :rule equiv_pos2)
% 0.18/0.47 (step t49 (cl (= (= tptp.v_ta tptp.v_s) (= tptp.v_s tptp.v_ta))) :rule all_simplify)
% 0.18/0.47 (step t50 (cl (= (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_s)) (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_s tptp.v_ta)))) :rule cong :premises (t2 t49))
% 0.18/0.47 (step t51 (cl (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_s)) (forall ((V_s $$unsorted)) (= tptp.v_ta V_s))) :rule implies_neg1)
% 0.18/0.47 (anchor :step t52)
% 0.18/0.47 (assume t52.a0 (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)))
% 0.18/0.47 (step t52.t1 (cl (or (not (forall ((V_s $$unsorted)) (= tptp.v_ta V_s))) (= tptp.v_ta tptp.v_s))) :rule forall_inst :args ((:= V_s tptp.v_s)))
% 0.18/0.47 (step t52.t2 (cl (not (forall ((V_s $$unsorted)) (= tptp.v_ta V_s))) (= tptp.v_ta tptp.v_s)) :rule or :premises (t52.t1))
% 0.18/0.47 (step t52.t3 (cl (= tptp.v_ta tptp.v_s)) :rule resolution :premises (t52.t2 t52.a0))
% 0.18/0.47 (step t52 (cl (not (forall ((V_s $$unsorted)) (= tptp.v_ta V_s))) (= tptp.v_ta tptp.v_s)) :rule subproof :discharge (t52.a0))
% 0.18/0.47 (step t53 (cl (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_s)) (= tptp.v_ta tptp.v_s)) :rule resolution :premises (t51 t52))
% 0.18/0.47 (step t54 (cl (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_s)) (not (= tptp.v_ta tptp.v_s))) :rule implies_neg2)
% 0.18/0.47 (step t55 (cl (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_s)) (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_s))) :rule resolution :premises (t53 t54))
% 0.18/0.47 (step t56 (cl (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_ta tptp.v_s))) :rule contraction :premises (t55))
% 0.18/0.47 (step t57 (cl (=> (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)) (= tptp.v_s tptp.v_ta))) :rule resolution :premises (t48 t50 t56))
% 0.18/0.47 (step t58 (cl (not (forall ((V_s $$unsorted)) (= tptp.v_ta V_s))) (= tptp.v_s tptp.v_ta)) :rule implies :premises (t57))
% 0.18/0.47 (step t59 (cl (not (= (forall ((V_s $$unsorted)) (= V_s tptp.v_ta)) (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)))) (not (forall ((V_s $$unsorted)) (= V_s tptp.v_ta))) (forall ((V_s $$unsorted)) (= tptp.v_ta V_s))) :rule equiv_pos2)
% 0.18/0.47 (anchor :step t60 :args ((V_s $$unsorted) (:= V_s V_s)))
% 0.18/0.47 (step t60.t1 (cl (= V_s V_s)) :rule refl)
% 0.18/0.47 (step t60.t2 (cl (= (= V_s tptp.v_ta) (= tptp.v_ta V_s))) :rule all_simplify)
% 0.18/0.47 (step t60 (cl (= (forall ((V_s $$unsorted)) (= V_s tptp.v_ta)) (forall ((V_s $$unsorted)) (= tptp.v_ta V_s)))) :rule bind)
% 0.18/0.47 (step t61 (cl (forall ((V_s $$unsorted)) (= tptp.v_ta V_s))) :rule resolution :premises (t59 t60 a3))
% 0.18/0.47 (step t62 (cl (= tptp.v_s tptp.v_ta)) :rule resolution :premises (t58 t61))
% 0.18/0.47 (step t63 (cl (not (= tptp.v_t tptp.v_ta))) :rule resolution :premises (t47 a2 t62))
% 0.18/0.47 (step t64 (cl) :rule resolution :premises (t12 t63 t61))
% 0.18/0.47
% 0.18/0.47 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.hZuAwE0wWG/cvc5---1.0.5_22303.smt2
% 0.18/0.48 % cvc5---1.0.5 exiting
% 0.18/0.48 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------