TSTP Solution File: SYN343+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN343+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 : Fri Sep 1 02:02:37 EDT 2023
% Result : Theorem 0.23s 0.56s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : SYN343+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.16 % Command : do_cvc5 %s %d
% 0.16/0.38 % Computer : n002.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat Aug 26 19:13:33 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.23/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.56 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.T8fZIETXOF/cvc5---1.0.5_28798.p...
% 0.23/0.56 ------- get file name : TPTP file name is SYN343+1
% 0.23/0.56 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28798.smt2...
% 0.23/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.56 % SZS status Theorem for SYN343+1
% 0.23/0.56 % SZS output start Proof for SYN343+1
% 0.23/0.56 (
% 0.23/0.56 (let ((_let_1 (not (exists ((X $$unsorted) (Y1 $$unsorted) (Y2 $$unsorted)) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f X X))) (=> (=> (=> (tptp.big_f X Y1) (tptp.big_f Z X)) _let_1) (and _let_1 (tptp.big_f Y1 Y2))))))))) (let ((_let_2 (forall ((BOUND_VARIABLE_628 $$unsorted)) (not (tptp.big_f BOUND_VARIABLE_628 BOUND_VARIABLE_628))))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_4 (forall ((BOUND_VARIABLE_630 $$unsorted) (BOUND_VARIABLE_632 $$unsorted)) (not (tptp.big_f BOUND_VARIABLE_630 BOUND_VARIABLE_632))))) (let ((_let_5 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_6 (not _let_2))) (let ((_let_7 (_let_6))) (let ((_let_8 (_let_4))) (let ((_let_9 (and _let_3 (not (forall ((BOUND_VARIABLE_601 $$unsorted)) (tptp.big_f BOUND_VARIABLE_601 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_10 (or _let_9 _let_3))) (let ((_let_11 (forall ((BOUND_VARIABLE_641 $$unsorted) (BOUND_VARIABLE_643 $$unsorted)) (or (and (tptp.big_f BOUND_VARIABLE_641 BOUND_VARIABLE_643) (not (forall ((BOUND_VARIABLE_601 $$unsorted)) (tptp.big_f BOUND_VARIABLE_601 BOUND_VARIABLE_641)))) (tptp.big_f BOUND_VARIABLE_641 BOUND_VARIABLE_641))))) (let ((_let_12 (_let_11))) (let ((_let_13 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_13) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f BOUND_VARIABLE_628 BOUND_VARIABLE_628) false))))) :args _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_3 _let_9 (not _let_10)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_12) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.big_f BOUND_VARIABLE_641 BOUND_VARIABLE_643)))) :args _let_12)) (AND_ELIM _let_5 :args (1)) :args (_let_10 false _let_11)) (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_3 (not _let_9)))) :args (_let_3 false _let_10 true _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_8) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f BOUND_VARIABLE_630 BOUND_VARIABLE_632) false))))) :args _let_8)) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_7)) :args _let_7) (REWRITE :args ((=> _let_6 (not (not _let_3))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_2))) (REFL :args (_let_3)) :args (or))) (AND_ELIM _let_5 :args (0)) :args (_let_2 false _let_3 false _let_4)) :args (false false _let_3 false _let_2)) :args (_let_1 true))))))))))))))))
% 0.23/0.56 )
% 0.23/0.56 % SZS output end Proof for SYN343+1
% 0.23/0.56 % cvc5---1.0.5 exiting
% 0.23/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------