TSTP Solution File: SWB017+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWB017+2 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n004.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 17:59:12 EDT 2024
% Result : Theorem 0.21s 0.51s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWB017+2 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 26 00:09:09 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.51 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.XDuEzRn8AC/cvc5---1.0.5_22797.smt2
% 0.21/0.51 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.XDuEzRn8AC/cvc5---1.0.5_22797.smt2
% 0.21/0.51 (assume a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y)))))
% 0.21/0.51 (assume a1 (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P2 X Y))))))))
% 0.21/0.51 (assume a2 (not (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u)))
% 0.21/0.51 (assume a3 (and (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c)))
% 0.21/0.51 (assume a4 true)
% 0.21/0.51 (step t1 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))) (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))) :rule implies_neg1)
% 0.21/0.51 (anchor :step t2)
% 0.21/0.51 (assume t2.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))))
% 0.21/0.51 (step t2.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))) (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c))))) :rule forall_inst :args ((:= X tptp.uri_ex_w) (:= Y tptp.uri_ex_c)))
% 0.21/0.51 (step t2.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))) (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c)))) :rule or :premises (t2.t1))
% 0.21/0.51 (step t2.t3 (cl (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c)))) :rule resolution :premises (t2.t2 t2.a0))
% 0.21/0.51 (step t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))) (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c)))) :rule subproof :discharge (t2.a0))
% 0.21/0.51 (step t3 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))) (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c)))) (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c)))) :rule resolution :premises (t1 t2))
% 0.21/0.51 (step t4 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))) (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c)))) (not (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c))))) :rule implies_neg2)
% 0.21/0.51 (step t5 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))) (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))) (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c))))) :rule resolution :premises (t3 t4))
% 0.21/0.51 (step t6 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))) (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c))))) :rule contraction :premises (t5))
% 0.21/0.51 (step t7 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))) (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c)))) :rule implies :premises (t6))
% 0.21/0.51 (step t8 (cl (not (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c)))) (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c))) :rule or_pos)
% 0.21/0.51 (step t9 (cl (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c))))) :rule reordering :premises (t8))
% 0.21/0.51 (step t10 (cl (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c)) :rule and :premises (a3))
% 0.21/0.51 (step t11 (cl (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c)) (not (= tptp.uri_ex_w tptp.uri_ex_u))) :rule and_neg)
% 0.21/0.51 (step t12 (cl (=> (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) :rule implies_neg1)
% 0.21/0.51 (anchor :step t13)
% 0.21/0.51 (assume t13.a0 (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c))
% 0.21/0.51 (assume t13.a1 (= tptp.uri_ex_w tptp.uri_ex_u))
% 0.21/0.51 (step t13.t1 (cl (=> (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) :rule implies_neg1)
% 0.21/0.51 (anchor :step t13.t2)
% 0.21/0.51 (assume t13.t2.a0 (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c))
% 0.21/0.51 (assume t13.t2.a1 (= tptp.uri_ex_w tptp.uri_ex_u))
% 0.21/0.51 (step t13.t2.t1 (cl (= (= (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c) true) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c))) :rule equiv_simplify)
% 0.21/0.51 (step t13.t2.t2 (cl (not (= (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c) true)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule equiv1 :premises (t13.t2.t1))
% 0.21/0.51 (step t13.t2.t3 (cl (= tptp.uri_ex_notInstanceOf tptp.uri_ex_notInstanceOf)) :rule refl)
% 0.21/0.51 (step t13.t2.t4 (cl (= tptp.uri_ex_u tptp.uri_ex_w)) :rule symm :premises (t13.t2.a1))
% 0.21/0.51 (step t13.t2.t5 (cl (= tptp.uri_ex_w tptp.uri_ex_u)) :rule symm :premises (t13.t2.t4))
% 0.21/0.51 (step t13.t2.t6 (cl (= tptp.uri_ex_c tptp.uri_ex_c)) :rule refl)
% 0.21/0.51 (step t13.t2.t7 (cl (= (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c))) :rule cong :premises (t13.t2.t3 t13.t2.t5 t13.t2.t6))
% 0.21/0.51 (step t13.t2.t8 (cl (= (= (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) true) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c))) :rule equiv_simplify)
% 0.21/0.51 (step t13.t2.t9 (cl (= (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) true) (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c))) :rule equiv2 :premises (t13.t2.t8))
% 0.21/0.51 (step t13.t2.t10 (cl (= (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) true)) :rule resolution :premises (t13.t2.t9 t13.t2.a0))
% 0.21/0.51 (step t13.t2.t11 (cl (= (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c) true)) :rule trans :premises (t13.t2.t7 t13.t2.t10))
% 0.21/0.51 (step t13.t2.t12 (cl (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule resolution :premises (t13.t2.t2 t13.t2.t11))
% 0.21/0.51 (step t13.t2 (cl (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c)) (not (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule subproof :discharge (t13.t2.a0 t13.t2.a1))
% 0.21/0.51 (step t13.t3 (cl (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c)) :rule and_pos)
% 0.21/0.51 (step t13.t4 (cl (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (= tptp.uri_ex_w tptp.uri_ex_u)) :rule and_pos)
% 0.21/0.51 (step t13.t5 (cl (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c) (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)))) :rule resolution :premises (t13.t2 t13.t3 t13.t4))
% 0.21/0.51 (step t13.t6 (cl (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule reordering :premises (t13.t5))
% 0.21/0.51 (step t13.t7 (cl (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule contraction :premises (t13.t6))
% 0.21/0.51 (step t13.t8 (cl (=> (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule resolution :premises (t13.t1 t13.t7))
% 0.21/0.51 (step t13.t9 (cl (=> (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c))) :rule implies_neg2)
% 0.21/0.51 (step t13.t10 (cl (=> (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (=> (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c))) :rule resolution :premises (t13.t8 t13.t9))
% 0.21/0.51 (step t13.t11 (cl (=> (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c))) :rule contraction :premises (t13.t10))
% 0.21/0.51 (step t13.t12 (cl (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule implies :premises (t13.t11))
% 0.21/0.51 (step t13.t13 (cl (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c)) (not (= tptp.uri_ex_w tptp.uri_ex_u))) :rule and_neg)
% 0.21/0.51 (step t13.t14 (cl (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) :rule resolution :premises (t13.t13 t13.a0 t13.a1))
% 0.21/0.51 (step t13.t15 (cl (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule resolution :premises (t13.t12 t13.t14))
% 0.21/0.51 (step t13 (cl (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c)) (not (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule subproof :discharge (t13.a0 t13.a1))
% 0.21/0.51 (step t14 (cl (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c)) :rule and_pos)
% 0.21/0.51 (step t15 (cl (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (= tptp.uri_ex_w tptp.uri_ex_u)) :rule and_pos)
% 0.21/0.51 (step t16 (cl (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c) (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)))) :rule resolution :premises (t13 t14 t15))
% 0.21/0.51 (step t17 (cl (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule reordering :premises (t16))
% 0.21/0.51 (step t18 (cl (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule contraction :premises (t17))
% 0.21/0.51 (step t19 (cl (=> (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule resolution :premises (t12 t18))
% 0.21/0.51 (step t20 (cl (=> (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c))) :rule implies_neg2)
% 0.21/0.51 (step t21 (cl (=> (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (=> (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c))) :rule resolution :premises (t19 t20))
% 0.21/0.51 (step t22 (cl (=> (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c))) :rule contraction :premises (t21))
% 0.21/0.51 (step t23 (cl (not (and (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c) (= tptp.uri_ex_w tptp.uri_ex_u))) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule implies :premises (t22))
% 0.21/0.51 (step t24 (cl (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c)) (not (= tptp.uri_ex_w tptp.uri_ex_u)) (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule resolution :premises (t11 t23))
% 0.21/0.51 (step t25 (cl (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_u tptp.uri_ex_c)) :rule and :premises (a3))
% 0.21/0.51 (step t26 (cl (not (= (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (= tptp.uri_ex_w tptp.uri_ex_u)))) (not (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u))))) (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (= tptp.uri_ex_w tptp.uri_ex_u))) :rule equiv_pos2)
% 0.21/0.51 (step t27 (cl (= (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))))) :rule refl)
% 0.21/0.51 (step t28 (cl (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u))) :rule refl)
% 0.21/0.51 (step t29 (cl (= (= (= (not (not (= tptp.uri_ex_w tptp.uri_ex_u))) (= tptp.uri_ex_w tptp.uri_ex_u)) true) (= (not (not (= tptp.uri_ex_w tptp.uri_ex_u))) (= tptp.uri_ex_w tptp.uri_ex_u)))) :rule equiv_simplify)
% 0.21/0.51 (step t30 (cl (not (= (= (not (not (= tptp.uri_ex_w tptp.uri_ex_u))) (= tptp.uri_ex_w tptp.uri_ex_u)) true)) (= (not (not (= tptp.uri_ex_w tptp.uri_ex_u))) (= tptp.uri_ex_w tptp.uri_ex_u))) :rule equiv1 :premises (t29))
% 0.21/0.51 (step t31 (cl (= (= (not (not (= tptp.uri_ex_w tptp.uri_ex_u))) (= tptp.uri_ex_w tptp.uri_ex_u)) (= (= tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u)))))) :rule all_simplify)
% 0.21/0.51 (step t32 (cl (= (= tptp.uri_ex_w tptp.uri_ex_u) (= tptp.uri_ex_w tptp.uri_ex_u))) :rule refl)
% 0.21/0.51 (step t33 (cl (= (not (not (= tptp.uri_ex_w tptp.uri_ex_u))) (= tptp.uri_ex_w tptp.uri_ex_u))) :rule all_simplify)
% 0.21/0.51 (step t34 (cl (= (= (= tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (= (= tptp.uri_ex_w tptp.uri_ex_u) (= tptp.uri_ex_w tptp.uri_ex_u)))) :rule cong :premises (t32 t33))
% 0.21/0.51 (step t35 (cl (= (= (= tptp.uri_ex_w tptp.uri_ex_u) (= tptp.uri_ex_w tptp.uri_ex_u)) true)) :rule all_simplify)
% 0.21/0.51 (step t36 (cl (= (= (= tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u)))) true)) :rule trans :premises (t34 t35))
% 0.21/0.51 (step t37 (cl (= (= (not (not (= tptp.uri_ex_w tptp.uri_ex_u))) (= tptp.uri_ex_w tptp.uri_ex_u)) true)) :rule trans :premises (t31 t36))
% 0.21/0.51 (step t38 (cl (= (not (not (= tptp.uri_ex_w tptp.uri_ex_u))) (= tptp.uri_ex_w tptp.uri_ex_u))) :rule resolution :premises (t30 t37))
% 0.21/0.51 (step t39 (cl (= (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (= tptp.uri_ex_w tptp.uri_ex_u)))) :rule cong :premises (t27 t28 t38))
% 0.21/0.51 (step t40 (cl (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u)))) :rule equiv_pos1)
% 0.21/0.51 (step t41 (cl (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (not (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))))) :rule or_neg)
% 0.21/0.51 (step t42 (cl (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (not (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u))) :rule or_neg)
% 0.21/0.51 (step t43 (cl (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (not (not (not (= tptp.uri_ex_w tptp.uri_ex_u))))) :rule or_neg)
% 0.21/0.51 (step t44 (cl (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u))))) :rule resolution :premises (t40 t41 t42 t43))
% 0.21/0.51 (step t45 (cl (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (not (= tptp.uri_ex_w tptp.uri_ex_u))))) :rule contraction :premises (t44))
% 0.21/0.51 (step t46 (cl (or (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (= tptp.uri_ex_w tptp.uri_ex_u))) :rule resolution :premises (t26 t39 t45))
% 0.21/0.51 (step t47 (cl (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (= tptp.uri_ex_w tptp.uri_ex_u)) :rule or :premises (t46))
% 0.21/0.51 (step t48 (cl (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (= tptp.uri_ex_w tptp.uri_ex_u) (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u))))) :rule reordering :premises (t47))
% 0.21/0.51 (step t49 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y)))) (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y))))) :rule implies_neg1)
% 0.21/0.51 (anchor :step t50)
% 0.21/0.51 (assume t50.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y)))))
% 0.21/0.51 (step t50.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y))))) (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u))))) :rule forall_inst :args ((:= X tptp.uri_ex_w) (:= Y tptp.uri_ex_u)))
% 0.21/0.51 (step t50.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y))))) (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) :rule or :premises (t50.t1))
% 0.21/0.51 (step t50.t3 (cl (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) :rule resolution :premises (t50.t2 t50.a0))
% 0.21/0.51 (step t50 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y))))) (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) :rule subproof :discharge (t50.a0))
% 0.21/0.51 (step t51 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y)))) (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) :rule resolution :premises (t49 t50))
% 0.21/0.51 (step t52 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y)))) (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (not (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u))))) :rule implies_neg2)
% 0.21/0.51 (step t53 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y)))) (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y)))) (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u))))) :rule resolution :premises (t51 t52))
% 0.21/0.51 (step t54 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y)))) (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u))))) :rule contraction :premises (t53))
% 0.21/0.51 (step t55 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.iext tptp.uri_owl_differentFrom X Y) (not (= X Y))))) (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) :rule implies :premises (t54))
% 0.21/0.51 (step t56 (cl (= (tptp.iext tptp.uri_owl_differentFrom tptp.uri_ex_w tptp.uri_ex_u) (not (= tptp.uri_ex_w tptp.uri_ex_u)))) :rule resolution :premises (t55 a0))
% 0.21/0.51 (step t57 (cl (= tptp.uri_ex_w tptp.uri_ex_u)) :rule resolution :premises (t48 a2 t56))
% 0.21/0.51 (step t58 (cl (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) :rule resolution :premises (t24 t25 t57))
% 0.21/0.51 (step t59 (cl (not (or (not (tptp.iext tptp.uri_ex_notInstanceOf tptp.uri_ex_w tptp.uri_ex_c)) (not (tptp.iext tptp.uri_rdf_type tptp.uri_ex_w tptp.uri_ex_c))))) :rule resolution :premises (t9 t10 t58))
% 0.21/0.51 (step t60 (cl (not (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))) :rule and_pos)
% 0.21/0.51 (step t61 (cl (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))) (not (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))))) :rule reordering :premises (t60))
% 0.21/0.51 (step t62 (cl (not (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))))) (not (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type)) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))))) :rule equiv_pos2)
% 0.21/0.51 (step t63 (cl (not (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type)) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))) (not (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))))))) :rule reordering :premises (t62))
% 0.21/0.51 (step t64 (cl (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type)) :rule and :premises (a3))
% 0.21/0.51 (step t65 (cl (=> (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y))))))) (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))))) (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y)))))))) :rule implies_neg1)
% 0.21/0.51 (anchor :step t66)
% 0.21/0.51 (assume t66.a0 (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y))))))))
% 0.21/0.51 (step t66.t1 (cl (or (not (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y)))))))) (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))))))) :rule forall_inst :args ((:= P1 tptp.uri_ex_notInstanceOf) (:= P2 tptp.uri_rdf_type)))
% 0.21/0.51 (step t66.t2 (cl (not (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y)))))))) (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))))) :rule or :premises (t66.t1))
% 0.21/0.51 (step t66.t3 (cl (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))))) :rule resolution :premises (t66.t2 t66.a0))
% 0.21/0.51 (step t66 (cl (not (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y)))))))) (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))))) :rule subproof :discharge (t66.a0))
% 0.21/0.51 (step t67 (cl (=> (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y))))))) (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))))) (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))))) :rule resolution :premises (t65 t66))
% 0.21/0.51 (step t68 (cl (=> (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y))))))) (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))))) (not (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))))))) :rule implies_neg2)
% 0.21/0.51 (step t69 (cl (=> (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y))))))) (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))))) (=> (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y))))))) (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))))))) :rule resolution :premises (t67 t68))
% 0.21/0.51 (step t70 (cl (=> (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y))))))) (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))))))) :rule contraction :premises (t69))
% 0.21/0.51 (step t71 (cl (not (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y)))))))) (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))))) :rule implies :premises (t70))
% 0.21/0.51 (step t72 (cl (not (= (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P2 X Y))))))) (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y))))))))) (not (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P2 X Y)))))))) (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y)))))))) :rule equiv_pos2)
% 0.21/0.51 (anchor :step t73 :args ((P1 $$unsorted) (:= P1 P1) (P2 $$unsorted) (:= P2 P2)))
% 0.21/0.51 (step t73.t1 (cl (= P1 P1)) :rule refl)
% 0.21/0.51 (step t73.t2 (cl (= P2 P2)) :rule refl)
% 0.21/0.51 (step t73.t3 (cl (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2))) :rule refl)
% 0.21/0.51 (step t73.t4 (cl (= (tptp.ip P1) (tptp.ip P1))) :rule refl)
% 0.21/0.51 (step t73.t5 (cl (= (tptp.ip P2) (tptp.ip P2))) :rule refl)
% 0.21/0.51 (step t73.t6 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P2 X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y)))))) :rule all_simplify)
% 0.21/0.52 (step t73.t7 (cl (= (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P2 X Y))))) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y))))))) :rule cong :premises (t73.t4 t73.t5 t73.t6))
% 0.21/0.52 (step t73.t8 (cl (= (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P2 X Y)))))) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y)))))))) :rule cong :premises (t73.t3 t73.t7))
% 0.21/0.52 (step t73 (cl (= (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.iext P1 X Y) (tptp.iext P2 X Y))))))) (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y))))))))) :rule bind)
% 0.21/0.52 (step t74 (cl (forall ((P1 $$unsorted) (P2 $$unsorted)) (= (tptp.iext tptp.uri_owl_propertyDisjointWith P1 P2) (and (tptp.ip P1) (tptp.ip P2) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext P1 X Y)) (not (tptp.iext P2 X Y)))))))) :rule resolution :premises (t72 t73 a1))
% 0.21/0.52 (step t75 (cl (= (tptp.iext tptp.uri_owl_propertyDisjointWith tptp.uri_ex_notInstanceOf tptp.uri_rdf_type) (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))))) :rule resolution :premises (t71 t74))
% 0.21/0.52 (step t76 (cl (and (tptp.ip tptp.uri_ex_notInstanceOf) (tptp.ip tptp.uri_rdf_type) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y)))))) :rule resolution :premises (t63 t64 t75))
% 0.21/0.52 (step t77 (cl (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.iext tptp.uri_ex_notInstanceOf X Y)) (not (tptp.iext tptp.uri_rdf_type X Y))))) :rule resolution :premises (t61 t76))
% 0.21/0.52 (step t78 (cl) :rule resolution :premises (t7 t59 t77))
% 0.21/0.52
% 0.21/0.52 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.XDuEzRn8AC/cvc5---1.0.5_22797.smt2
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------