TSTP Solution File: SEU148+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU148+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 16:29:34 EDT 2023
% Result : Theorem 10.43s 10.74s
% Output : Proof 10.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU148+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n013.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 16:32:17 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 10.43/10.74 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.3Rxscc0clL/cvc5---1.0.5_11716.p...
% 10.43/10.74 ------- get file name : TPTP file name is SEU148+3
% 10.43/10.74 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11716.smt2...
% 10.43/10.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.43/10.74 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.43/10.74 % SZS status Theorem for SEU148+3
% 10.43/10.74 % SZS output start Proof for SEU148+3
% 10.43/10.74 (
% 10.43/10.74 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.subset (tptp.singleton A) (tptp.singleton B)) (= A B)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton B))) (= (tptp.subset A _let_1) (or (= A tptp.empty_set) (= A _let_1))))))) (let ((_let_3 (forall ((A $$unsorted)) (not (= (tptp.singleton A) tptp.empty_set))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_5 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (= _let_6 _let_5))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5))) (let ((_let_9 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_6))) (let ((_let_10 (= tptp.empty_set _let_6))) (let ((_let_11 (or _let_10 _let_7))) (let ((_let_12 (tptp.subset _let_6 _let_5))) (let ((_let_13 (= _let_12 _let_11))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton B))) (= (tptp.subset A _let_1) (or (= tptp.empty_set A) (= A _let_1))))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_17 (not _let_12))) (let ((_let_18 (or _let_17 _let_16))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.subset (tptp.singleton A) (tptp.singleton B))) (= A B))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (or))) (let ((_let_23 (not _let_19))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_21) :args (_let_23))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_19))) (REFL :args (_let_20)) :args _let_22)) _let_21 :args (_let_20 true _let_19)))) (let ((_let_25 (forall ((A $$unsorted)) (not (= tptp.empty_set (tptp.singleton A)))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_28))) (let ((_let_31 (_let_27))) (let ((_let_32 (= _let_16 _let_9))) (let ((_let_33 (not _let_9))) (let ((_let_34 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_35 (_let_34))) (let ((_let_36 (ASSUME :args (_let_33)))) (let ((_let_37 (ASSUME :args (_let_7)))) (let ((_let_38 (ASSUME :args (_let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_36 _let_37 _let_38) :args (_let_7 _let_8 _let_33)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_38)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (SYMM _let_37) :args (APPLY_UF tptp.in)) (FALSE_INTRO _let_36))) :args (_let_33 _let_7 _let_8)) :args ((not (and _let_7 _let_8 _let_33)) SB_LITERAL))) (CONG (REFL :args ((not _let_7))) (REFL :args ((not _let_8))) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_9))) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_32)) :args ((or _let_16 _let_33 (not _let_32)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 1)) _let_24 :args ((not _let_16) true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_35) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_35))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_30))) _let_29 :args (_let_34 false _let_28)) :args (_let_32 false _let_34)) :args (_let_33 true _let_16 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_31) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_31))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_30))) _let_29 :args (_let_27 false _let_28)) :args (_let_8 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_7 (not _let_11)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_25))) _let_26 :args ((not _let_10) false _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_13)) :args ((or _let_17 _let_11 (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG (REFL :args (_let_18)) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_12))) :args _let_22)) :args ((or _let_12 _let_18))) _let_24 :args (_let_12 true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (_let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_14))) _let_15 :args (_let_13 false _let_14)) :args (_let_11 false _let_12 false _let_13)) :args (_let_7 true _let_10 false _let_11)) :args (false true _let_9 false _let_8 false _let_7)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_4 (tptp.empty tptp.empty_set) _let_3 _let_2 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_1 true)))))))))))))))))))))))))))))))))))))))))
% 10.43/10.74 )
% 10.43/10.74 % SZS output end Proof for SEU148+3
% 10.43/10.74 % cvc5---1.0.5 exiting
% 10.43/10.74 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------