TSTP Solution File: SEU189+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU189+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 16:29:54 EDT 2023
% Result : Theorem 0.22s 0.54s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU189+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n029.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 : Thu Aug 24 00:59:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lTiPdtemc3/cvc5---1.0.5_25500.p...
% 0.22/0.54 ------- get file name : TPTP file name is SEU189+1
% 0.22/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25500.smt2...
% 0.22/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54 % SZS status Theorem for SEU189+1
% 0.22/0.54 % SZS output start Proof for SEU189+1
% 0.22/0.54 (
% 0.22/0.54 (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.relation A) (=> (or (= (tptp.relation_dom A) tptp.empty_set) (= (tptp.relation_rng A) tptp.empty_set)) (= A tptp.empty_set)))))) (let ((_let_2 (tptp.relation_rng tptp.empty_set))) (let ((_let_3 (tptp.relation_dom tptp.empty_set))) (let ((_let_4 (and (= _let_3 tptp.empty_set) (= _let_2 tptp.empty_set)))) (let ((_let_5 (not (forall ((A $$unsorted)) (=> (tptp.relation A) (= (= (tptp.relation_dom A) tptp.empty_set) (= (tptp.relation_rng A) tptp.empty_set))))))) (let ((_let_6 (tptp.empty tptp.empty_set))) (let ((_let_7 (= tptp.empty_set _let_2))) (let ((_let_8 (= tptp.empty_set (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_9 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (= tptp.empty_set (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_12 (= _let_11 _let_8))) (let ((_let_13 (not _let_8))) (let ((_let_14 (not _let_11))) (let ((_let_15 (and _let_14 _let_13))) (let ((_let_16 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_9))) (let ((_let_19 (= tptp.empty_set _let_3))) (let ((_let_20 (or _let_17 _let_12))) (let ((_let_21 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (= tptp.empty_set (tptp.relation_dom A)) (= tptp.empty_set (tptp.relation_rng A))))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (or))) (let ((_let_25 (not _let_21))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_23) :args (_let_25))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_21))) (REFL :args (_let_22)) :args _let_24)) _let_23 :args (_let_22 true _let_21)))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_20 1)) _let_26 :args ((not _let_12) true _let_20)))) (let ((_let_28 (_let_12))) (let ((_let_29 (not _let_15))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG (REFL :args (_let_20)) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_24)) :args ((or _let_16 _let_20))) _let_26 :args (_let_16 true _let_20)))) (let ((_let_31 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (and (not (= tptp.empty_set (tptp.relation_dom A))) (not (= tptp.empty_set (tptp.relation_rng A)))) (= tptp.empty_set A))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_31))) _let_32 :args (_let_18 false _let_31)))) (let ((_let_34 (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_15 _let_9 (not _let_18)))))) (let ((_let_35 (not _let_9))) (let ((_let_36 (and _let_19 _let_9))) (let ((_let_37 (ASSUME :args (_let_9)))) (let ((_let_38 (SYMM (SYMM _let_37)))) (let ((_let_39 (ASSUME :args (_let_19)))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_36)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_37 _let_39) (SCOPE (TRANS (SYMM (SYMM _let_39)) (CONG _let_38 :args (APPLY_UF tptp.relation_dom))) :args (_let_9 _let_19))) :args (_let_19 _let_9))) :args (true _let_36)) :args ((or (not _let_19) _let_11 _let_35))) (AND_ELIM _let_10 :args (0)) _let_34 _let_33 _let_30 (REORDERING (CNF_AND_POS :args (_let_15 1)) :args ((or _let_13 _let_29))) (REORDERING (CNF_EQUIV_NEG1 :args _let_28) :args ((or _let_11 _let_8 _let_12))) _let_27 :args (_let_11 false _let_19 false _let_9 false _let_18 false _let_16 true _let_15 false _let_8 true _let_12)))) (let ((_let_41 (and _let_7 _let_9))) (let ((_let_42 (ASSUME :args (_let_7)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_41)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_37 _let_42) (SCOPE (TRANS (SYMM (SYMM _let_42)) (CONG _let_38 :args (APPLY_UF tptp.relation_rng))) :args (_let_9 _let_7))) :args (_let_7 _let_9))) :args (true _let_41)) :args ((or (not _let_7) _let_8 _let_35))) (MACRO_RESOLUTION_TRUST _let_34 _let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 0)) :args ((or _let_14 _let_29))) _let_40 :args (_let_29 false _let_11)) _let_33 :args (_let_9 false _let_16 true _let_15 false _let_18)) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_28) _let_27 _let_40 :args (_let_13 true _let_12 false _let_11)) (AND_ELIM _let_10 :args (1)) :args (false false _let_9 true _let_8 false _let_7)) :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)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_rng A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_rng A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true true true (and _let_6 (tptp.relation tptp.empty_set)) _let_6 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) _let_5 _let_4 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.54 % SZS output end Proof for SEU189+1
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------