TSTP Solution File: SYO604+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYO604+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 04:16:41 EDT 2023
% Result : Theorem 10.35s 10.64s
% Output : Proof 10.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SYO604+1 : TPTP v8.1.2. Released v7.0.0.
% 0.09/0.10 % Command : do_cvc5 %s %d
% 0.10/0.30 % Computer : n007.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Aug 26 07:12:56 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.41 %----Proving TF0_NAR, FOF, or CNF
% 10.35/10.64 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.shE3cZiXXn/cvc5---1.0.5_12183.p...
% 10.35/10.64 ------- get file name : TPTP file name is SYO604+1
% 10.35/10.64 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12183.smt2...
% 10.35/10.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.35/10.64 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.35/10.64 % SZS status Theorem for SYO604+1
% 10.35/10.64 % SZS output start Proof for SYO604+1
% 10.35/10.64 (
% 10.35/10.64 (let ((_let_1 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (or (tptp.g_true_only X_2 X_1) (tptp.g_both X_2 X_1) (tptp.g_false_only X_2 X_1))))) (let ((_let_2 (not (or (forall ((A $$unsorted)) (exists ((B $$unsorted)) (or (and (tptp.g_true_only B A) (or (and (exists ((C $$unsorted)) (and (or (tptp.g_both B C) (tptp.g_both C B)) (not (tptp.g_false_only B C)) (not (tptp.g_false_only C B)))) (not (exists ((C $$unsorted)) (and (tptp.g_true_only B C) (tptp.g_true_only C B))))) (exists ((C $$unsorted)) (and (tptp.g_true_only B C) (tptp.g_true_only C B))))) (and (tptp.g_both B A) (or (forall ((C $$unsorted)) (or (tptp.g_false_only B C) (tptp.g_false_only C B))) (exists ((C $$unsorted)) (and (tptp.g_true_only B C) (tptp.g_true_only C B))))) (and (tptp.g_false_only B A) (or (forall ((C $$unsorted)) (or (tptp.g_false_only B C) (tptp.g_false_only C B))) (and (exists ((C $$unsorted)) (and (or (tptp.g_both B C) (tptp.g_both C B)) (not (tptp.g_false_only B C)) (not (tptp.g_false_only C B)))) (not (exists ((C $$unsorted)) (and (tptp.g_true_only B C) (tptp.g_true_only C B)))))))))) (and (exists ((A $$unsorted)) (and (exists ((B $$unsorted)) (and (tptp.g_both B A) (exists ((C $$unsorted)) (and (or (tptp.g_both B C) (tptp.g_both C B)) (not (tptp.g_false_only B C)) (not (tptp.g_false_only C B)))) (not (exists ((C $$unsorted)) (and (tptp.g_true_only B C) (tptp.g_true_only C B)))))) (not (exists ((B $$unsorted)) (or (and (tptp.g_true_only B A) (or (and (exists ((C $$unsorted)) (and (or (tptp.g_both B C) (tptp.g_both C B)) (not (tptp.g_false_only B C)) (not (tptp.g_false_only C B)))) (not (exists ((C $$unsorted)) (and (tptp.g_true_only B C) (tptp.g_true_only C B))))) (exists ((C $$unsorted)) (and (tptp.g_true_only B C) (tptp.g_true_only C B))))) (and (tptp.g_both B A) (or (forall ((C $$unsorted)) (or (tptp.g_false_only B C) (tptp.g_false_only C B))) (exists ((C $$unsorted)) (and (tptp.g_true_only B C) (tptp.g_true_only C B))))) (and (tptp.g_false_only B A) (or (forall ((C $$unsorted)) (or (tptp.g_false_only B C) (tptp.g_false_only C B))) (and (exists ((C $$unsorted)) (and (or (tptp.g_both B C) (tptp.g_both C B)) (not (tptp.g_false_only B C)) (not (tptp.g_false_only C B)))) (not (exists ((C $$unsorted)) (and (tptp.g_true_only B C) (tptp.g_true_only C B)))))))))))) (not (exists ((A $$unsorted)) (forall ((B $$unsorted)) (or (and (tptp.g_true_only B A) (forall ((C $$unsorted)) (or (tptp.g_false_only B C) (tptp.g_false_only C B)))) (and (tptp.g_false_only B A) (exists ((C $$unsorted)) (and (tptp.g_true_only B C) (tptp.g_true_only C B))))))))))))) (let ((_let_3 (forall ((C $$unsorted)) (or (not (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C)) (not (tptp.g_true_only C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_4 (not _let_3))) (let ((_let_5 (and (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) _let_4))) (let ((_let_6 (forall ((C $$unsorted)) (or (not (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C)) (not (tptp.g_true_only C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_7 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (or _let_8 _let_10))) (let ((_let_13 (and (or (not (forall ((C $$unsorted)) (or (not (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 C)) (not (tptp.g_true_only C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))))) (and (not (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17)) _let_12))) (let ((_let_14 (or _let_8 _let_13))) (let ((_let_15 (or))) (let ((_let_16 (REFL :args (_let_11)))) (let ((_let_17 (forall ((BOUND_VARIABLE_914 $$unsorted) (BOUND_VARIABLE_1006 $$unsorted) (BOUND_VARIABLE_995 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_914 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (or (not (forall ((C $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_914 C)) (not (tptp.g_true_only C BOUND_VARIABLE_914))))) (and (not (tptp.g_both BOUND_VARIABLE_914 BOUND_VARIABLE_995)) (not (tptp.g_both BOUND_VARIABLE_995 BOUND_VARIABLE_914))) (tptp.g_false_only BOUND_VARIABLE_914 BOUND_VARIABLE_995) (tptp.g_false_only BOUND_VARIABLE_995 BOUND_VARIABLE_914)) (or (not (tptp.g_true_only BOUND_VARIABLE_914 BOUND_VARIABLE_1006)) (not (tptp.g_true_only BOUND_VARIABLE_1006 BOUND_VARIABLE_914)))))))) (let ((_let_18 (forall ((BOUND_VARIABLE_964 $$unsorted) (BOUND_VARIABLE_1032 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_964 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (forall ((C $$unsorted)) (or (tptp.g_false_only BOUND_VARIABLE_964 C) (tptp.g_false_only C BOUND_VARIABLE_964)))) (or (not (forall ((C $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_964 C)) (not (tptp.g_true_only C BOUND_VARIABLE_964))))) (and (not (tptp.g_both BOUND_VARIABLE_964 BOUND_VARIABLE_1032)) (not (tptp.g_both BOUND_VARIABLE_1032 BOUND_VARIABLE_964))) (tptp.g_false_only BOUND_VARIABLE_964 BOUND_VARIABLE_1032) (tptp.g_false_only BOUND_VARIABLE_1032 BOUND_VARIABLE_964))))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (forall ((BOUND_VARIABLE_945 $$unsorted) (BOUND_VARIABLE_1021 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_945 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (forall ((C $$unsorted)) (or (tptp.g_false_only BOUND_VARIABLE_945 C) (tptp.g_false_only C BOUND_VARIABLE_945)))) (or (not (tptp.g_true_only BOUND_VARIABLE_945 BOUND_VARIABLE_1021)) (not (tptp.g_true_only BOUND_VARIABLE_1021 BOUND_VARIABLE_945)))))))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_17))) (let ((_let_23 (or _let_22 _let_21 _let_19))) (let ((_let_24 (forall ((A $$unsorted)) (or (not (forall ((BOUND_VARIABLE_914 $$unsorted) (BOUND_VARIABLE_1006 $$unsorted) (BOUND_VARIABLE_995 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_914 A)) (and (or (not (forall ((C $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_914 C)) (not (tptp.g_true_only C BOUND_VARIABLE_914))))) (and (not (tptp.g_both BOUND_VARIABLE_914 BOUND_VARIABLE_995)) (not (tptp.g_both BOUND_VARIABLE_995 BOUND_VARIABLE_914))) (tptp.g_false_only BOUND_VARIABLE_914 BOUND_VARIABLE_995) (tptp.g_false_only BOUND_VARIABLE_995 BOUND_VARIABLE_914)) (or (not (tptp.g_true_only BOUND_VARIABLE_914 BOUND_VARIABLE_1006)) (not (tptp.g_true_only BOUND_VARIABLE_1006 BOUND_VARIABLE_914))))))) (not (forall ((BOUND_VARIABLE_945 $$unsorted) (BOUND_VARIABLE_1021 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_945 A)) (and (not (forall ((C $$unsorted)) (or (tptp.g_false_only BOUND_VARIABLE_945 C) (tptp.g_false_only C BOUND_VARIABLE_945)))) (or (not (tptp.g_true_only BOUND_VARIABLE_945 BOUND_VARIABLE_1021)) (not (tptp.g_true_only BOUND_VARIABLE_1021 BOUND_VARIABLE_945))))))) (not (forall ((BOUND_VARIABLE_964 $$unsorted) (BOUND_VARIABLE_1032 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_964 A)) (and (not (forall ((C $$unsorted)) (or (tptp.g_false_only BOUND_VARIABLE_964 C) (tptp.g_false_only C BOUND_VARIABLE_964)))) (or (not (forall ((C $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_964 C)) (not (tptp.g_true_only C BOUND_VARIABLE_964))))) (and (not (tptp.g_both BOUND_VARIABLE_964 BOUND_VARIABLE_1032)) (not (tptp.g_both BOUND_VARIABLE_1032 BOUND_VARIABLE_964))) (tptp.g_false_only BOUND_VARIABLE_964 BOUND_VARIABLE_1032) (tptp.g_false_only BOUND_VARIABLE_1032 BOUND_VARIABLE_964)))))))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (NOT_OR_ELIM _let_26 :args (0)))) (let ((_let_28 (not _let_24))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_27) :args (_let_28))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_24))) (REFL :args (_let_25)) :args _let_15)) _let_27 :args (_let_25 true _let_24)))) (let ((_let_30 (REFL :args (_let_23)))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_30 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_17))) :args _let_15)) :args ((or _let_17 _let_23))) _let_29 :args (_let_17 true _let_23)))) (let ((_let_32 (_let_17))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (not _let_6))) (let ((_let_35 (_let_34))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_35)) :args _let_35)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_6))) (REFL :args ((not _let_11))) :args _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_13 1)) :args ((or _let_12 (not _let_13)))) (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_8 _let_13 (not _let_14)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_32)) _let_31 :args (_let_14 false _let_17)) (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_10 _let_8 (not _let_12)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 1)) (CONG _let_16 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_15)) :args ((or _let_7 _let_11))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 0)) (CONG _let_16 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_15)) :args ((or _let_9 _let_11))) :args (_let_11 false _let_13 false _let_14 true _let_12 false _let_7 false _let_9)) :args (_let_6 false _let_11)))) (let ((_let_37 (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (and (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) _let_37))) (let ((_let_39 (or _let_38 _let_5))) (let ((_let_40 (forall ((B $$unsorted) (BOUND_VARIABLE_1381 $$unsorted)) (or (and (tptp.g_true_only B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) (or (tptp.g_false_only B BOUND_VARIABLE_1381) (tptp.g_false_only BOUND_VARIABLE_1381 B))) (and (tptp.g_false_only B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) (not (forall ((C $$unsorted)) (or (not (tptp.g_true_only B C)) (not (tptp.g_true_only C B)))))))))) (let ((_let_41 (forall ((A $$unsorted)) (not (forall ((B $$unsorted) (BOUND_VARIABLE_1381 $$unsorted)) (or (and (tptp.g_true_only B A) (or (tptp.g_false_only B BOUND_VARIABLE_1381) (tptp.g_false_only BOUND_VARIABLE_1381 B))) (and (tptp.g_false_only B A) (not (forall ((C $$unsorted)) (or (not (tptp.g_true_only B C)) (not (tptp.g_true_only C B)))))))))))) (let ((_let_42 (forall ((A $$unsorted) (BOUND_VARIABLE_1345 $$unsorted) (BOUND_VARIABLE_1343 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_1192 $$unsorted) (BOUND_VARIABLE_1284 $$unsorted) (BOUND_VARIABLE_1273 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_1192 A)) (and (or (not (forall ((C $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_1192 C)) (not (tptp.g_true_only C BOUND_VARIABLE_1192))))) (and (not (tptp.g_both BOUND_VARIABLE_1192 BOUND_VARIABLE_1273)) (not (tptp.g_both BOUND_VARIABLE_1273 BOUND_VARIABLE_1192))) (tptp.g_false_only BOUND_VARIABLE_1192 BOUND_VARIABLE_1273) (tptp.g_false_only BOUND_VARIABLE_1273 BOUND_VARIABLE_1192)) (or (not (tptp.g_true_only BOUND_VARIABLE_1192 BOUND_VARIABLE_1284)) (not (tptp.g_true_only BOUND_VARIABLE_1284 BOUND_VARIABLE_1192))))))) (not (forall ((BOUND_VARIABLE_1223 $$unsorted) (BOUND_VARIABLE_1299 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_1223 A)) (and (not (forall ((C $$unsorted)) (or (tptp.g_false_only BOUND_VARIABLE_1223 C) (tptp.g_false_only C BOUND_VARIABLE_1223)))) (or (not (tptp.g_true_only BOUND_VARIABLE_1223 BOUND_VARIABLE_1299)) (not (tptp.g_true_only BOUND_VARIABLE_1299 BOUND_VARIABLE_1223))))))) (not (forall ((BOUND_VARIABLE_1242 $$unsorted) (BOUND_VARIABLE_1310 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_1242 A)) (and (not (forall ((C $$unsorted)) (or (tptp.g_false_only BOUND_VARIABLE_1242 C) (tptp.g_false_only C BOUND_VARIABLE_1242)))) (or (not (forall ((C $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_1242 C)) (not (tptp.g_true_only C BOUND_VARIABLE_1242))))) (and (not (tptp.g_both BOUND_VARIABLE_1242 BOUND_VARIABLE_1310)) (not (tptp.g_both BOUND_VARIABLE_1310 BOUND_VARIABLE_1242))) (tptp.g_false_only BOUND_VARIABLE_1242 BOUND_VARIABLE_1310) (tptp.g_false_only BOUND_VARIABLE_1310 BOUND_VARIABLE_1242)))))) (not (tptp.g_both BOUND_VARIABLE_1343 A)) (not (forall ((C $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_1343 C)) (not (tptp.g_true_only C BOUND_VARIABLE_1343))))) (and (not (tptp.g_both BOUND_VARIABLE_1343 BOUND_VARIABLE_1345)) (not (tptp.g_both BOUND_VARIABLE_1345 BOUND_VARIABLE_1343))) (tptp.g_false_only BOUND_VARIABLE_1343 BOUND_VARIABLE_1345) (tptp.g_false_only BOUND_VARIABLE_1345 BOUND_VARIABLE_1343))))) (let ((_let_43 (not _let_41))) (let ((_let_44 (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_45 (not _let_44))) (let ((_let_46 (forall ((C $$unsorted)) (or (not (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C)) (not (tptp.g_true_only C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_47 (not _let_46))) (let ((_let_48 (forall ((BOUND_VARIABLE_1242 $$unsorted) (BOUND_VARIABLE_1310 $$unsorted)) (or (not (tptp.g_false_only BOUND_VARIABLE_1242 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (forall ((C $$unsorted)) (or (tptp.g_false_only BOUND_VARIABLE_1242 C) (tptp.g_false_only C BOUND_VARIABLE_1242)))) (or (not (forall ((C $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_1242 C)) (not (tptp.g_true_only C BOUND_VARIABLE_1242))))) (and (not (tptp.g_both BOUND_VARIABLE_1242 BOUND_VARIABLE_1310)) (not (tptp.g_both BOUND_VARIABLE_1310 BOUND_VARIABLE_1242))) (tptp.g_false_only BOUND_VARIABLE_1242 BOUND_VARIABLE_1310) (tptp.g_false_only BOUND_VARIABLE_1310 BOUND_VARIABLE_1242))))))) (let ((_let_49 (not _let_48))) (let ((_let_50 (forall ((BOUND_VARIABLE_1223 $$unsorted) (BOUND_VARIABLE_1299 $$unsorted)) (or (not (tptp.g_both BOUND_VARIABLE_1223 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (not (forall ((C $$unsorted)) (or (tptp.g_false_only BOUND_VARIABLE_1223 C) (tptp.g_false_only C BOUND_VARIABLE_1223)))) (or (not (tptp.g_true_only BOUND_VARIABLE_1223 BOUND_VARIABLE_1299)) (not (tptp.g_true_only BOUND_VARIABLE_1299 BOUND_VARIABLE_1223)))))))) (let ((_let_51 (not _let_50))) (let ((_let_52 (forall ((BOUND_VARIABLE_1192 $$unsorted) (BOUND_VARIABLE_1284 $$unsorted) (BOUND_VARIABLE_1273 $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_1192 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (and (or (not (forall ((C $$unsorted)) (or (not (tptp.g_true_only BOUND_VARIABLE_1192 C)) (not (tptp.g_true_only C BOUND_VARIABLE_1192))))) (and (not (tptp.g_both BOUND_VARIABLE_1192 BOUND_VARIABLE_1273)) (not (tptp.g_both BOUND_VARIABLE_1273 BOUND_VARIABLE_1192))) (tptp.g_false_only BOUND_VARIABLE_1192 BOUND_VARIABLE_1273) (tptp.g_false_only BOUND_VARIABLE_1273 BOUND_VARIABLE_1192)) (or (not (tptp.g_true_only BOUND_VARIABLE_1192 BOUND_VARIABLE_1284)) (not (tptp.g_true_only BOUND_VARIABLE_1284 BOUND_VARIABLE_1192)))))))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51 _let_49 _let_45 _let_47 _let_45 _let_37 _let_37))) (let ((_let_55 (not _let_42))) (let ((_let_56 (not _let_54))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 2)) (CONG _let_30 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_15)) :args ((or _let_18 _let_23))) _let_29 :args (_let_18 true _let_23)))) (let ((_let_58 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (or _let_58 _let_44 _let_37))) (let ((_let_60 (_let_1))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_63 (forall ((C $$unsorted)) (or (not (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C)) (not (tptp.g_true_only C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_64 (not _let_63))) (let ((_let_65 (forall ((C $$unsorted)) (or (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C) (tptp.g_false_only C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_66 (not _let_65))) (let ((_let_67 (and _let_66 (or _let_64 _let_45 _let_37 _let_37)))) (let ((_let_68 (not _let_37))) (let ((_let_69 (or _let_68 _let_67))) (let ((_let_70 (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_71 (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_72 (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.g_both SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_75 (not _let_74))) (let ((_let_76 (and _let_75 _let_73))) (let ((_let_77 (or _let_64 _let_76 _let_71 _let_70))) (let ((_let_78 (and _let_66 _let_77))) (let ((_let_79 (or _let_68 _let_78))) (let ((_let_80 (forall ((C $$unsorted)) (or (tptp.g_false_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 C) (tptp.g_false_only C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_81 (or _let_71 _let_70))) (let ((_let_82 (_let_18))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_ENUM))) (let ((_let_85 (not _let_80))) (let ((_let_86 (_let_85))) (let ((_let_87 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_88 (not _let_87))) (let ((_let_89 (tptp.g_true_only SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_88))) (let ((_let_92 (or _let_89 _let_74 _let_71))) (let ((_let_93 (or _let_87 _let_72 _let_70))) (let ((_let_94 (not _let_77))) (let ((_let_95 (_let_6))) (let ((_let_96 (not _let_76))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_88 _let_90 (not _let_91)))) (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_70 _let_87 _let_72 (not _let_93)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_60)) _let_61 :args (_let_93 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_71 _let_89 _let_74 (not _let_92)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args _let_84) :args _let_60)) _let_61 :args (_let_92 false _let_1)) (REORDERING (CNF_AND_POS :args (_let_76 1)) :args ((or _let_73 _let_96))) (REORDERING (CNF_AND_POS :args (_let_76 0)) :args ((or _let_75 _let_96))) (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_64 _let_71 _let_70 _let_76 _let_94))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_95) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_ENUM)) :args _let_95)) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_6 (= C C)))) :args ((or _let_34 _let_71 _let_70 _let_94) false _let_87 false _let_93 false _let_89 false _let_92 true _let_72 true _let_74 false _let_76 false _let_91 false _let_63)) _let_36 (CNF_OR_NEG :args (_let_81 1)) (CNF_OR_NEG :args (_let_81 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_86)) :args _let_86)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_80))) (REFL :args ((not _let_81))) :args _let_15)) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_80 (= C C)))) (REORDERING (CNF_AND_POS :args (_let_78 1)) :args ((or _let_77 (not _let_78)))) (REORDERING (CNF_AND_POS :args (_let_67 0)) :args ((or _let_66 (not _let_67)))) (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_68 _let_78 (not _let_79)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args _let_84) :args _let_82)) _let_57 :args (_let_79 false _let_18)) (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_67 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_83 :args _let_62) :args _let_82))) _let_57 :args (_let_69 false _let_18)) :args (_let_68 false _let_6 true _let_70 true _let_71 true _let_81 true _let_80 false _let_77 true _let_65 false _let_78 false _let_79 false _let_67 false _let_69)))) (let ((_let_98 (not _let_58))) (let ((_let_99 (and (or _let_34 _let_45 _let_37 _let_37) _let_98))) (let ((_let_100 (or _let_98 _let_99))) (let ((_let_101 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_102 (_let_42))) (let ((_let_103 (_let_43))) (let ((_let_104 (_let_40))) (let ((_let_105 (not _let_38))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_5 1)) :args ((or _let_4 (not _let_5)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_5 _let_38 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_38 1)) :args ((or _let_37 _let_105))) _let_97 :args (_let_105 true _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_104) :args _let_62) :args _let_104))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_103)) :args _let_103) (REWRITE :args ((=> _let_43 (not (not _let_40))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_41))) (REFL :args _let_104) :args _let_15)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (NOT_OR_ELIM _let_26 :args (1))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_42))) (REFL :args _let_103) :args _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_102) :args _let_101) :args _let_102))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_54))) :args ((or _let_37 _let_45 _let_53 _let_51 _let_49 _let_47 _let_56))) _let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_44 _let_37 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_98 _let_99 (not _let_100)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args _let_101) :args _let_32))) _let_31 :args (_let_100 false _let_17)) (REORDERING (CNF_AND_POS :args (_let_99 1)) :args ((or _let_98 (not _let_99)))) :args (_let_98 false _let_100 true _let_99)) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args _let_62) :args _let_60)) _let_61 :args (_let_59 false _let_1)) :args (_let_44 true _let_58 true _let_37 false _let_59)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_17 (= BOUND_VARIABLE_914 BOUND_VARIABLE_1192) (= BOUND_VARIABLE_1006 BOUND_VARIABLE_1284) (= BOUND_VARIABLE_995 BOUND_VARIABLE_1273) (= C C)))) _let_31 :args (_let_52 false _let_17)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_20 (= C C) (= BOUND_VARIABLE_945 BOUND_VARIABLE_1223) (= BOUND_VARIABLE_1021 BOUND_VARIABLE_1299)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_30 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_15)) :args ((or _let_20 _let_23))) _let_29 :args (_let_20 true _let_23)) :args (_let_50 false _let_20)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_18 (= C C) (= BOUND_VARIABLE_964 BOUND_VARIABLE_1242) (= BOUND_VARIABLE_1032 BOUND_VARIABLE_1310) (= C C)))) _let_57 :args (_let_48 false _let_18)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_6 (= C C)))) _let_36 :args (_let_46 false _let_6)) :args (_let_56 true _let_37 false _let_44 false _let_52 false _let_50 false _let_48 false _let_46)) :args (_let_55 true _let_54)) :args (_let_43 true _let_42)) :args (_let_40 true _let_41)) :args (_let_39 false _let_40)) :args (_let_5 true _let_38 false _let_39)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_6 (= C C)))) _let_36 :args (_let_3 false _let_6)) :args (false false _let_5 false _let_3)) :args (_let_2 (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_true_only X_2 X_1) (and (tptp.g_true X_2 X_1) (not (tptp.g_false X_2 X_1))))) (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_both X_2 X_1) (and (tptp.g_true X_2 X_1) (tptp.g_false X_2 X_1)))) (forall ((X_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.g_false_only X_2 X_1) (and (tptp.g_false X_2 X_1) (not (tptp.g_true X_2 X_1))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.35/10.65 )
% 10.35/10.65 % SZS output end Proof for SYO604+1
% 10.35/10.65 % cvc5---1.0.5 exiting
% 10.35/10.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------