TSTP Solution File: SET576+3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET576+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% 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 : Thu Aug 31 14:39:09 EDT 2023
% Result : Theorem 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET576+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n005.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 : Sat Aug 26 12:13:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.5M4wzfXK22/cvc5---1.0.5_18419.p...
% 0.22/0.53 ------- get file name : TPTP file name is SET576+3
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18419.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Theorem for SET576+3
% 0.22/0.53 % SZS output start Proof for SET576+3
% 0.22/0.53 (
% 0.22/0.53 (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted)) (=> (forall ((D $$unsorted)) (=> (tptp.member D B) (not (tptp.member D C)))) (tptp.disjoint B C)))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.disjoint B C) (not (tptp.intersect B C)))))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersect B C) (exists ((D $$unsorted)) (and (tptp.member D B) (tptp.member D C))))))) (let ((_let_4 (tptp.intersect SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_5 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_6 (not _let_5))) (let ((_let_7 (= _let_4 _let_6))) (let ((_let_8 (not _let_4))) (let ((_let_9 (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (_let_2))) (let ((_let_12 (ASSUME :args _let_11))) (let ((_let_13 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_9))) (let ((_let_16 (forall ((B $$unsorted) (C $$unsorted)) (or (not (forall ((D $$unsorted)) (or (not (tptp.member D B)) (not (tptp.member D C))))) (tptp.disjoint B C))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (or))) (let ((_let_20 (not _let_16))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_18) :args (_let_20))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_16))) (REFL :args (_let_17)) :args _let_19)) _let_18 :args (_let_17 true _let_16)))) (let ((_let_22 (not _let_10))) (let ((_let_23 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersect B C) (not (forall ((D $$unsorted)) (or (not (tptp.member D B)) (not (tptp.member D C))))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_7)) :args ((or _let_8 _let_6 (not _let_7)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersect B C)))) :args (_let_23))) _let_24 :args (_let_7 false _let_23)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_13 (= D D)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG (REFL :args (_let_15)) (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_19)) :args ((or _let_13 _let_15))) _let_21 :args (_let_13 true _let_15)) :args (_let_5 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_10)) (CONG (REFL :args (_let_22)) (REFL :args (_let_9)) (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_4))) :args _let_19)) :args ((or _let_9 _let_4 _let_22))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_15 1)) _let_21 :args ((not _let_9) true _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.disjoint B C)))) :args _let_11)) _let_12 :args (_let_10 false _let_2)) :args (_let_4 true _let_9 false _let_10)) :args (false false _let_7 false _let_5 false _let_4)) :args (_let_3 _let_2 (forall ((B $$unsorted) (C $$unsorted)) (=> (tptp.intersect B C) (tptp.intersect C B))) _let_1 true)))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.54 % SZS output end Proof for SET576+3
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------