TSTP Solution File: SEV286^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV286^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n022.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 17:58:08 EDT 2024
% Result : Theorem 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV286^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 27 12:38:39 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.bY0fDOASph/cvc5---1.0.5_26343.smt2
% 0.21/0.52 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.bY0fDOASph/cvc5---1.0.5_26343.smt2
% 0.21/0.52 (assume a0 (not (forall ((F (-> tptp.a tptp.b)) (A tptp.a) (B tptp.a)) (=> (= A B) (= (@ F A) (@ F B))))))
% 0.21/0.52 (assume a1 true)
% 0.21/0.52 (step t1 (cl (not (= (not (forall ((F (-> tptp.a tptp.b)) (A tptp.a) (B tptp.a)) (=> (= A B) (= (@ F A) (@ F B))))) false)) (not (not (forall ((F (-> tptp.a tptp.b)) (A tptp.a) (B tptp.a)) (=> (= A B) (= (@ F A) (@ F B)))))) false) :rule equiv_pos2)
% 0.21/0.52 (step t2 (cl (= (forall ((F (-> tptp.a tptp.b)) (A tptp.a) (B tptp.a)) (=> (= A B) (= (@ F A) (@ F B)))) (forall ((F (-> tptp.a tptp.b)) (A tptp.a) (B tptp.a)) (or (not (= A B)) (= (@ F A) (@ F B)))))) :rule all_simplify)
% 0.21/0.52 (step t3 (cl (= (forall ((F (-> tptp.a tptp.b)) (A tptp.a) (B tptp.a)) (or (not (= A B)) (= (@ F A) (@ F B)))) (forall ((F (-> tptp.a tptp.b)) (B tptp.a)) (or (not (= B B)) (= (@ F B) (@ F B)))))) :rule all_simplify)
% 0.21/0.52 (anchor :step t4 :args ((F (-> tptp.a tptp.b)) (:= F F) (B tptp.a) (:= B B)))
% 0.21/0.52 (step t4.t1 (cl (= F F)) :rule refl)
% 0.21/0.52 (step t4.t2 (cl (= B B)) :rule refl)
% 0.21/0.52 (step t4.t3 (cl (= (= B B) true)) :rule all_simplify)
% 0.21/0.52 (step t4.t4 (cl (= (not (= B B)) (not true))) :rule cong :premises (t4.t3))
% 0.21/0.52 (step t4.t5 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.52 (step t4.t6 (cl (= (not (= B B)) false)) :rule trans :premises (t4.t4 t4.t5))
% 0.21/0.52 (step t4.t7 (cl (= (= (@ F B) (@ F B)) true)) :rule all_simplify)
% 0.21/0.52 (step t4.t8 (cl (= (or (not (= B B)) (= (@ F B) (@ F B))) (or false true))) :rule cong :premises (t4.t6 t4.t7))
% 0.21/0.52 (step t4.t9 (cl (= (or false true) true)) :rule all_simplify)
% 0.21/0.52 (step t4.t10 (cl (= (or (not (= B B)) (= (@ F B) (@ F B))) true)) :rule trans :premises (t4.t8 t4.t9))
% 0.21/0.52 (step t4 (cl (= (forall ((F (-> tptp.a tptp.b)) (B tptp.a)) (or (not (= B B)) (= (@ F B) (@ F B)))) (forall ((F (-> tptp.a tptp.b)) (B tptp.a)) true))) :rule bind)
% 0.21/0.52 (step t5 (cl (= (forall ((F (-> tptp.a tptp.b)) (B tptp.a)) true) true)) :rule all_simplify)
% 0.21/0.52 (step t6 (cl (= (forall ((F (-> tptp.a tptp.b)) (B tptp.a)) (or (not (= B B)) (= (@ F B) (@ F B)))) true)) :rule trans :premises (t4 t5))
% 0.21/0.52 (step t7 (cl (= (forall ((F (-> tptp.a tptp.b)) (A tptp.a) (B tptp.a)) (or (not (= A B)) (= (@ F A) (@ F B)))) true)) :rule trans :premises (t3 t6))
% 0.21/0.52 (step t8 (cl (= (forall ((F (-> tptp.a tptp.b)) (A tptp.a) (B tptp.a)) (=> (= A B) (= (@ F A) (@ F B)))) true)) :rule trans :premises (t2 t7))
% 0.21/0.52 (step t9 (cl (= (not (forall ((F (-> tptp.a tptp.b)) (A tptp.a) (B tptp.a)) (=> (= A B) (= (@ F A) (@ F B))))) (not true))) :rule cong :premises (t8))
% 0.21/0.52 (step t10 (cl (= (not true) false)) :rule all_simplify)
% 0.21/0.52 (step t11 (cl (= (not (forall ((F (-> tptp.a tptp.b)) (A tptp.a) (B tptp.a)) (=> (= A B) (= (@ F A) (@ F B))))) false)) :rule trans :premises (t9 t10))
% 0.21/0.52 (step t12 (cl false) :rule resolution :premises (t1 t11 a0))
% 0.21/0.52 (step t13 (cl (not false)) :rule false)
% 0.21/0.52 (step t14 (cl) :rule resolution :premises (t12 t13))
% 0.21/0.52
% 0.21/0.52 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.bY0fDOASph/cvc5---1.0.5_26343.smt2
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------