TSTP Solution File: SEU267+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU267+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 16:30:30 EDT 2023
% Result : Theorem 10.42s 10.60s
% Output : Proof 10.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU267+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n001.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 16:30:09 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 10.42/10.60 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ji4G40EjkC/cvc5---1.0.5_20413.p...
% 10.42/10.60 ------- get file name : TPTP file name is SEU267+1
% 10.42/10.60 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20413.smt2...
% 10.42/10.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.42/10.60 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.42/10.60 % SZS status Theorem for SEU267+1
% 10.42/10.60 % SZS output start Proof for SEU267+1
% 10.42/10.60 (
% 10.42/10.60 (let ((_let_1 (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.ordered_pair B C))) (forall ((B $$unsorted)) (= (= B (tptp.pair_second A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= A (tptp.ordered_pair C D)) (= B D))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (exists ((B $$unsorted) (C $$unsorted)) (= A (tptp.ordered_pair B C))) (forall ((B $$unsorted)) (= (= B (tptp.pair_first A)) (forall ((C $$unsorted) (D $$unsorted)) (=> (= A (tptp.ordered_pair C D)) (= B C))))))))) (let ((_let_3 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ordered_pair A B))) (and (= (tptp.pair_first _let_1) A) (= (tptp.pair_second _let_1) B))))))) (let ((_let_4 (tptp.pair_second (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)))) (let ((_let_5 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_4))) (let ((_let_6 (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (or (not (= (tptp.ordered_pair C D) _let_1)) (= D (tptp.pair_second _let_1))))))) (let ((_let_7 (forall ((BOUND_VARIABLE_769 $$unsorted) (BOUND_VARIABLE_771 $$unsorted)) (= BOUND_VARIABLE_771 (tptp.pair_second (tptp.ordered_pair BOUND_VARIABLE_769 BOUND_VARIABLE_771)))))) (let ((_let_8 (not _let_5))) (let ((_let_9 (forall ((BOUND_VARIABLE_760 $$unsorted) (BOUND_VARIABLE_762 $$unsorted)) (= BOUND_VARIABLE_760 (tptp.pair_first (tptp.ordered_pair BOUND_VARIABLE_760 BOUND_VARIABLE_762)))))) (let ((_let_10 (not _let_7))) (let ((_let_11 (tptp.pair_first (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_11))) (let ((_let_13 (forall ((C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (or (not (= (tptp.ordered_pair C D) _let_1)) (= C (tptp.pair_first _let_1))))))) (let ((_let_14 (forall ((BOUND_VARIABLE_800 $$unsorted) (BOUND_VARIABLE_795 $$unsorted) (BOUND_VARIABLE_793 $$unsorted)) (= (= BOUND_VARIABLE_800 (tptp.pair_first (tptp.ordered_pair BOUND_VARIABLE_793 BOUND_VARIABLE_795))) (forall ((C $$unsorted) (D $$unsorted)) (or (not (= (tptp.ordered_pair C D) (tptp.ordered_pair BOUND_VARIABLE_793 BOUND_VARIABLE_795))) (= C BOUND_VARIABLE_800))))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (_let_13))) (let ((_let_17 (or))) (let ((_let_18 (not _let_9))) (let ((_let_19 (_let_18))) (let ((_let_20 (_let_10))) (let ((_let_21 (forall ((BOUND_VARIABLE_857 $$unsorted) (BOUND_VARIABLE_852 $$unsorted) (BOUND_VARIABLE_850 $$unsorted)) (= (= BOUND_VARIABLE_857 (tptp.pair_second (tptp.ordered_pair BOUND_VARIABLE_850 BOUND_VARIABLE_852))) (forall ((C $$unsorted) (D $$unsorted)) (or (not (= (tptp.ordered_pair C D) (tptp.ordered_pair BOUND_VARIABLE_850 BOUND_VARIABLE_852))) (= D BOUND_VARIABLE_857))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_23) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_23))) :args ((or _let_5 (not _let_6)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_21)))) _let_22 :args (_let_6 false _let_21)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_20)) :args _let_20)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_7))) (REFL :args (_let_8)) :args _let_17)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_19)) :args _let_19)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_9))) (REFL :args ((not _let_12))) :args _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_16) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_16))) :args ((or _let_12 (not _let_13)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_15 :args (_let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_14)))) _let_15 :args (_let_13 false _let_14)) :args (_let_12 false _let_13)) :args (_let_9 false _let_12)) :args (_let_10 false _let_9)) :args (_let_8 true _let_7)) :args (false false _let_6 true _let_5)) :args ((forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) true (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) true (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true true true (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))
% 10.42/10.61 )
% 10.42/10.61 % SZS output end Proof for SEU267+1
% 10.42/10.61 % cvc5---1.0.5 exiting
% 10.42/10.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------