TSTP Solution File: SYN361+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN361+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 02:02:45 EDT 2023
% Result : Theorem 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN361+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 20:37:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.qFOGmjCyHF/cvc5---1.0.5_25844.p...
% 0.20/0.51 ------- get file name : TPTP file name is SYN361+1
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25844.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.51 % SZS status Theorem for SYN361+1
% 0.20/0.51 % SZS output start Proof for SYN361+1
% 0.20/0.51 (
% 0.20/0.51 (let ((_let_1 (not (=> (and (exists ((V $$unsorted)) (forall ((X $$unsorted)) (tptp.big_p X V))) (forall ((X $$unsorted)) (=> (tptp.big_s X) (exists ((Y $$unsorted)) (tptp.big_q Y X)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.big_p X Y) (not (tptp.big_q X Y))))) (exists ((U $$unsorted)) (not (tptp.big_s U))))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.big_p X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_3 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_4 (forall ((V $$unsorted)) (not (forall ((X $$unsorted)) (tptp.big_p X V)))))) (let ((_let_5 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_6 (NOT_IMPLIES_ELIM1 _let_5))) (let ((_let_7 (or))) (let ((_let_8 (_let_2))) (let ((_let_9 (not _let_4))) (let ((_let_10 (_let_9))) (let ((_let_11 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (not _let_11))) (let ((_let_13 (not _let_3))) (let ((_let_14 (or _let_13 _let_12))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.big_p X Y)) (not (tptp.big_q X Y)))))) (let ((_let_16 (_let_15))) (let ((_let_17 (forall ((Y $$unsorted)) (not (tptp.big_q Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.big_s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18))) (let ((_let_22 (forall ((X $$unsorted)) (or (not (tptp.big_s X)) (not (forall ((Y $$unsorted)) (not (tptp.big_q Y X)))))))) (let ((_let_23 (_let_22))) (let ((_let_24 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_25 (forall ((U $$unsorted)) (tptp.big_s U)))) (let ((_let_26 (_let_25))) (let ((_let_27 (_let_18))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_8) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) true))))) :args _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_12 _let_13 (not _let_14)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_27)) :args _let_27) (REWRITE :args ((=> _let_18 (not _let_12)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) (REFL :args (_let_11)) :args _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_18 (not _let_21)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_26) :args _let_24) :args _let_26)) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_5)) :args (_let_19 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_23) :args _let_24) :args _let_23)) (AND_ELIM _let_6 :args (1)) :args (_let_21 false _let_22)) :args (_let_18 false _let_19 false _let_21)) :args (_let_11 true _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_16) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_q X Y) false))))) :args _let_16)) (AND_ELIM _let_6 :args (2)) :args (_let_14 false _let_15)) :args (_let_13 false _let_11 false _let_14)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_10)) :args _let_10) (REWRITE :args ((=> _let_9 (not (not _let_2))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_4))) (REFL :args _let_8) :args _let_7)) (AND_ELIM _let_6 :args (0)) :args (_let_2 true _let_4)) :args (false true _let_3 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))
% 0.20/0.52 )
% 0.20/0.52 % SZS output end Proof for SYN361+1
% 0.20/0.52 % cvc5---1.0.5 exiting
% 0.20/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------