TSTP Solution File: LCL656+1.005 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 07:02:49 EDT 2023
% Result : Theorem 15.35s 15.63s
% Output : Proof 15.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n028.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 06:51:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 15.35/15.63 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.SqAqJYNg76/cvc5---1.0.5_22808.p...
% 15.35/15.63 ------- get file name : TPTP file name is LCL656+1.005
% 15.35/15.63 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22808.smt2...
% 15.35/15.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 15.35/15.63 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.35/15.63 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 15.35/15.63 % SZS status Theorem for LCL656+1.005
% 15.35/15.63 % SZS output start Proof for LCL656+1.005
% 15.35/15.63 (
% 15.35/15.63 (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p3 Y)))))))))))) (not (and (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p101 Y))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p100 Y))) (let ((_let_4 (tptp.p102 Y))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.p103 Y))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.p104 Y))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.p105 Y))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.p1 Y))) (let ((_let_13 (tptp.p2 Y))) (let ((_let_14 (tptp.p3 Y))) (let ((_let_15 (tptp.p4 Y))) (let ((_let_16 (tptp.p5 Y))) (let ((_let_17 (tptp.p6 Y))) (or (not (tptp.r1 X Y)) (and (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (tptp.p6 X)) (not (tptp.p106 X)) (tptp.p105 X)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (tptp.p6 X) (not (tptp.p106 X)) (tptp.p105 X))))))) (not (and _let_11 _let_8))) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (tptp.p5 X)) (not (tptp.p105 X)) (tptp.p104 X)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (tptp.p5 X) (not (tptp.p105 X)) (tptp.p104 X))))))) (not (and _let_9 _let_6))) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (tptp.p4 X)) (not (tptp.p104 X)) (tptp.p103 X)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (tptp.p4 X) (not (tptp.p104 X)) (tptp.p103 X))))))) (not (and _let_7 _let_4))) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (tptp.p3 X)) (not (tptp.p103 X)) (tptp.p102 X)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (tptp.p3 X) (not (tptp.p103 X)) (tptp.p102 X))))))) (not (and _let_5 _let_1))) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (tptp.p2 X)) (not (tptp.p102 X)) (tptp.p101 X)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (tptp.p2 X) (not (tptp.p102 X)) (tptp.p101 X))))))) (not (and _let_2 _let_3))) (or (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p6 X)) (not (tptp.p105 X)))) _let_17) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p6 X) (not (tptp.p105 X)))) (not _let_17))) _let_11) (or (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p5 X)) (not (tptp.p104 X)))) _let_16) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p5 X) (not (tptp.p104 X)))) (not _let_16))) _let_9) (or (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p4 X)) (not (tptp.p103 X)))) _let_15) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p4 X) (not (tptp.p103 X)))) (not _let_15))) _let_7) (or (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p3 X)) (not (tptp.p102 X)))) _let_14) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p3 X) (not (tptp.p102 X)))) (not _let_14))) _let_5) (or (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (not (tptp.p101 X)))) _let_13) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (tptp.p101 X)))) (not _let_13))) _let_2) (or (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)) (not (tptp.p100 X)))) _let_12) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (tptp.p100 X)))) (not _let_12))) (not _let_3)) (or _let_10 (not (tptp.p106 Y))) (or _let_8 _let_11) (or _let_6 _let_9) (or _let_4 _let_7) (or _let_1 _let_5) (or _let_3 _let_2))))))))))))))))))))))))))))) (not (tptp.p101 X)) (tptp.p100 X)))))))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.r1 X X)))) (let ((_let_3 (forall ((Y $$unsorted) (BOUND_VARIABLE_1050 $$unsorted) (BOUND_VARIABLE_1048 $$unsorted) (BOUND_VARIABLE_1046 $$unsorted) (BOUND_VARIABLE_1044 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1044)) (not (tptp.r1 BOUND_VARIABLE_1044 BOUND_VARIABLE_1050)) (not (tptp.r1 BOUND_VARIABLE_1050 BOUND_VARIABLE_1046)) (not (tptp.r1 BOUND_VARIABLE_1046 BOUND_VARIABLE_1048)) (tptp.p3 BOUND_VARIABLE_1048))))) (let ((_let_4 (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_5 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_10 _let_10 _let_8 _let_6 _let_4))) (let ((_let_12 (tptp.p100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.p101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (forall ((Y $$unsorted) (BOUND_VARIABLE_2007 $$unsorted) (BOUND_VARIABLE_2005 $$unsorted) (BOUND_VARIABLE_2003 $$unsorted) (BOUND_VARIABLE_1977 $$unsorted) (BOUND_VARIABLE_1979 $$unsorted) (BOUND_VARIABLE_1981 $$unsorted) (BOUND_VARIABLE_1983 $$unsorted) (BOUND_VARIABLE_1985 $$unsorted) (BOUND_VARIABLE_1987 $$unsorted) (BOUND_VARIABLE_1989 $$unsorted) (BOUND_VARIABLE_1991 $$unsorted) (BOUND_VARIABLE_1993 $$unsorted) (BOUND_VARIABLE_1995 $$unsorted) (BOUND_VARIABLE_1997 $$unsorted) (BOUND_VARIABLE_1999 $$unsorted) (BOUND_VARIABLE_2001 $$unsorted)) (let ((_let_1 (tptp.p101 BOUND_VARIABLE_1985))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p100 BOUND_VARIABLE_1985))) (let ((_let_4 (tptp.p102 BOUND_VARIABLE_1985))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.p103 BOUND_VARIABLE_1985))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.p104 BOUND_VARIABLE_1985))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.p105 BOUND_VARIABLE_1985))) (let ((_let_11 (not _let_10))) (let ((_let_12 (not _let_3))) (let ((_let_13 (tptp.p1 BOUND_VARIABLE_1985))) (let ((_let_14 (tptp.p2 BOUND_VARIABLE_1985))) (let ((_let_15 (tptp.p3 BOUND_VARIABLE_1985))) (let ((_let_16 (tptp.p4 BOUND_VARIABLE_1985))) (let ((_let_17 (tptp.p5 BOUND_VARIABLE_1985))) (let ((_let_18 (tptp.p6 BOUND_VARIABLE_1985))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_1977)) (not (tptp.r1 BOUND_VARIABLE_1977 BOUND_VARIABLE_1983)) (not (tptp.r1 BOUND_VARIABLE_1983 BOUND_VARIABLE_1987)) (not (tptp.r1 BOUND_VARIABLE_1987 BOUND_VARIABLE_1985)) (and (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (tptp.p6 X) (tptp.p106 X) (not (tptp.p105 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (not (tptp.p6 X)) (tptp.p106 X) (not (tptp.p105 X)))))) _let_10 _let_9) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (tptp.p5 X) (tptp.p105 X) (not (tptp.p104 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (not (tptp.p5 X)) (tptp.p105 X) (not (tptp.p104 X)))))) _let_8 _let_7) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (tptp.p4 X) (tptp.p104 X) (not (tptp.p103 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (not (tptp.p4 X)) (tptp.p104 X) (not (tptp.p103 X)))))) _let_6 _let_5) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (tptp.p3 X) (tptp.p103 X) (not (tptp.p102 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (not (tptp.p3 X)) (tptp.p103 X) (not (tptp.p102 X)))))) _let_4 _let_2) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (tptp.p2 X) (tptp.p102 X) (not (tptp.p101 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (not (tptp.p2 X)) (tptp.p102 X) (not (tptp.p101 X)))))) _let_1 _let_12) (or (and (or _let_18 (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1989)) (not (tptp.p6 BOUND_VARIABLE_1989)) (not (tptp.p105 BOUND_VARIABLE_1989))) (or (not _let_18) (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1993)) (tptp.p6 BOUND_VARIABLE_1993) (not (tptp.p105 BOUND_VARIABLE_1993)))) _let_11) (or (and (or _let_17 (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1995)) (not (tptp.p5 BOUND_VARIABLE_1995)) (not (tptp.p104 BOUND_VARIABLE_1995))) (or (not _let_17) (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1999)) (tptp.p5 BOUND_VARIABLE_1999) (not (tptp.p104 BOUND_VARIABLE_1999)))) _let_9) (or (and (or _let_16 (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_2001)) (not (tptp.p4 BOUND_VARIABLE_2001)) (not (tptp.p103 BOUND_VARIABLE_2001))) (or (not _let_16) (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1991)) (tptp.p4 BOUND_VARIABLE_1991) (not (tptp.p103 BOUND_VARIABLE_1991)))) _let_7) (or (and (or _let_15 (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_2005)) (not (tptp.p3 BOUND_VARIABLE_2005)) (not (tptp.p102 BOUND_VARIABLE_2005))) (or (not _let_15) (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1997)) (tptp.p3 BOUND_VARIABLE_1997) (not (tptp.p102 BOUND_VARIABLE_1997)))) _let_5) (or (and (or _let_14 (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1981)) (not (tptp.p2 BOUND_VARIABLE_1981)) (not (tptp.p101 BOUND_VARIABLE_1981))) (or (not _let_14) (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_2003)) (tptp.p2 BOUND_VARIABLE_2003) (not (tptp.p101 BOUND_VARIABLE_2003)))) _let_2) (or (and (or _let_13 (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1979)) (not (tptp.p1 BOUND_VARIABLE_1979)) (not (tptp.p100 BOUND_VARIABLE_1979))) (or (not _let_13) (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_2007)) (tptp.p1 BOUND_VARIABLE_2007) (not (tptp.p100 BOUND_VARIABLE_2007)))) _let_12) (or _let_10 (not (tptp.p106 BOUND_VARIABLE_1985))) (or _let_8 _let_11) (or _let_6 _let_9) (or _let_4 _let_7) (or _let_1 _let_5) (or _let_3 _let_2)))))))))))))))))))))))) (let ((_let_16 (not _let_15))) (let ((_let_17 (not _let_3))) (let ((_let_18 (or _let_17 _let_16 _let_14 _let_13))) (let ((_let_19 (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1050 $$unsorted) (BOUND_VARIABLE_1048 $$unsorted) (BOUND_VARIABLE_1046 $$unsorted) (BOUND_VARIABLE_1044 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y BOUND_VARIABLE_1044)) (not (tptp.r1 BOUND_VARIABLE_1044 BOUND_VARIABLE_1050)) (not (tptp.r1 BOUND_VARIABLE_1050 BOUND_VARIABLE_1046)) (not (tptp.r1 BOUND_VARIABLE_1046 BOUND_VARIABLE_1048)) (tptp.p3 BOUND_VARIABLE_1048)))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_2007 $$unsorted) (BOUND_VARIABLE_2005 $$unsorted) (BOUND_VARIABLE_2003 $$unsorted) (BOUND_VARIABLE_1977 $$unsorted) (BOUND_VARIABLE_1979 $$unsorted) (BOUND_VARIABLE_1981 $$unsorted) (BOUND_VARIABLE_1983 $$unsorted) (BOUND_VARIABLE_1985 $$unsorted) (BOUND_VARIABLE_1987 $$unsorted) (BOUND_VARIABLE_1989 $$unsorted) (BOUND_VARIABLE_1991 $$unsorted) (BOUND_VARIABLE_1993 $$unsorted) (BOUND_VARIABLE_1995 $$unsorted) (BOUND_VARIABLE_1997 $$unsorted) (BOUND_VARIABLE_1999 $$unsorted) (BOUND_VARIABLE_2001 $$unsorted)) (let ((_let_1 (tptp.p101 BOUND_VARIABLE_1985))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p100 BOUND_VARIABLE_1985))) (let ((_let_4 (tptp.p102 BOUND_VARIABLE_1985))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.p103 BOUND_VARIABLE_1985))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.p104 BOUND_VARIABLE_1985))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.p105 BOUND_VARIABLE_1985))) (let ((_let_11 (not _let_10))) (let ((_let_12 (not _let_3))) (let ((_let_13 (tptp.p1 BOUND_VARIABLE_1985))) (let ((_let_14 (tptp.p2 BOUND_VARIABLE_1985))) (let ((_let_15 (tptp.p3 BOUND_VARIABLE_1985))) (let ((_let_16 (tptp.p4 BOUND_VARIABLE_1985))) (let ((_let_17 (tptp.p5 BOUND_VARIABLE_1985))) (let ((_let_18 (tptp.p6 BOUND_VARIABLE_1985))) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y BOUND_VARIABLE_1977)) (not (tptp.r1 BOUND_VARIABLE_1977 BOUND_VARIABLE_1983)) (not (tptp.r1 BOUND_VARIABLE_1983 BOUND_VARIABLE_1987)) (not (tptp.r1 BOUND_VARIABLE_1987 BOUND_VARIABLE_1985)) (and (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (tptp.p6 X) (tptp.p106 X) (not (tptp.p105 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (not (tptp.p6 X)) (tptp.p106 X) (not (tptp.p105 X)))))) _let_10 _let_9) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (tptp.p5 X) (tptp.p105 X) (not (tptp.p104 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (not (tptp.p5 X)) (tptp.p105 X) (not (tptp.p104 X)))))) _let_8 _let_7) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (tptp.p4 X) (tptp.p104 X) (not (tptp.p103 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (not (tptp.p4 X)) (tptp.p104 X) (not (tptp.p103 X)))))) _let_6 _let_5) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (tptp.p3 X) (tptp.p103 X) (not (tptp.p102 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (not (tptp.p3 X)) (tptp.p103 X) (not (tptp.p102 X)))))) _let_4 _let_2) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (tptp.p2 X) (tptp.p102 X) (not (tptp.p101 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_1985 X)) (not (tptp.p2 X)) (tptp.p102 X) (not (tptp.p101 X)))))) _let_1 _let_12) (or (and (or _let_18 (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1989)) (not (tptp.p6 BOUND_VARIABLE_1989)) (not (tptp.p105 BOUND_VARIABLE_1989))) (or (not _let_18) (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1993)) (tptp.p6 BOUND_VARIABLE_1993) (not (tptp.p105 BOUND_VARIABLE_1993)))) _let_11) (or (and (or _let_17 (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1995)) (not (tptp.p5 BOUND_VARIABLE_1995)) (not (tptp.p104 BOUND_VARIABLE_1995))) (or (not _let_17) (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1999)) (tptp.p5 BOUND_VARIABLE_1999) (not (tptp.p104 BOUND_VARIABLE_1999)))) _let_9) (or (and (or _let_16 (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_2001)) (not (tptp.p4 BOUND_VARIABLE_2001)) (not (tptp.p103 BOUND_VARIABLE_2001))) (or (not _let_16) (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1991)) (tptp.p4 BOUND_VARIABLE_1991) (not (tptp.p103 BOUND_VARIABLE_1991)))) _let_7) (or (and (or _let_15 (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_2005)) (not (tptp.p3 BOUND_VARIABLE_2005)) (not (tptp.p102 BOUND_VARIABLE_2005))) (or (not _let_15) (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1997)) (tptp.p3 BOUND_VARIABLE_1997) (not (tptp.p102 BOUND_VARIABLE_1997)))) _let_5) (or (and (or _let_14 (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1981)) (not (tptp.p2 BOUND_VARIABLE_1981)) (not (tptp.p101 BOUND_VARIABLE_1981))) (or (not _let_14) (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_2003)) (tptp.p2 BOUND_VARIABLE_2003) (not (tptp.p101 BOUND_VARIABLE_2003)))) _let_2) (or (and (or _let_13 (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_1979)) (not (tptp.p1 BOUND_VARIABLE_1979)) (not (tptp.p100 BOUND_VARIABLE_1979))) (or (not _let_13) (not (tptp.r1 BOUND_VARIABLE_1985 BOUND_VARIABLE_2007)) (tptp.p1 BOUND_VARIABLE_2007) (not (tptp.p100 BOUND_VARIABLE_2007)))) _let_12) (or _let_10 (not (tptp.p106 BOUND_VARIABLE_1985))) (or _let_8 _let_11) (or _let_6 _let_9) (or _let_4 _let_7) (or _let_1 _let_5) (or _let_3 _let_2))))))))))))))))))))))) (tptp.p101 X) (not (tptp.p100 X)))))) (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 (REFL :args (_let_18)))) (let ((_let_26 (not _let_11))) (let ((_let_27 (or _let_6 _let_4 (tptp.p103 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (not (tptp.p102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))))) (let ((_let_28 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X)) (tptp.p3 X) (tptp.p103 X) (not (tptp.p102 X)))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (not _let_28))) (let ((_let_31 (and _let_30 (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X)) (not (tptp.p3 X)) (tptp.p103 X) (not (tptp.p102 X)))))))) (let ((_let_32 (tptp.p101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.p102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_35 (or _let_31 _let_34 _let_33))) (let ((_let_36 (tptp.p100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_37 (not _let_34))) (let ((_let_38 (tptp.p103 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.p104 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.p105 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_43 (not _let_42))) (let ((_let_44 (not _let_36))) (let ((_let_45 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_46 (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_47 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_48 (not _let_45))) (let ((_let_49 (not _let_14))) (let ((_let_50 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_51 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_52 (not _let_50))) (let ((_let_53 (tptp.p102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_57 (not _let_55))) (let ((_let_58 (tptp.p103 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_61 (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_62 (not _let_60))) (let ((_let_63 (tptp.p104 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.p5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_66 (tptp.p5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_67 (not _let_65))) (let ((_let_68 (tptp.p105 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.p6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_71 (tptp.p6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_72 (not _let_70))) (let ((_let_73 (and (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X)) (tptp.p6 X) (tptp.p106 X) (not (tptp.p105 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X)) (not (tptp.p6 X)) (tptp.p106 X) (not (tptp.p105 X)))))) _let_42 _let_41) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X)) (tptp.p5 X) (tptp.p105 X) (not (tptp.p104 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X)) (not (tptp.p5 X)) (tptp.p105 X) (not (tptp.p104 X)))))) _let_40 _let_39) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X)) (tptp.p4 X) (tptp.p104 X) (not (tptp.p103 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X)) (not (tptp.p4 X)) (tptp.p104 X) (not (tptp.p103 X)))))) _let_38 _let_37) _let_35 (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X)) (tptp.p2 X) (tptp.p102 X) (not (tptp.p101 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 X)) (not (tptp.p2 X)) (tptp.p102 X) (not (tptp.p101 X)))))) _let_32 _let_44) (or (and (or _let_71 _let_46 _let_72 _let_69) (or (not _let_71) _let_46 _let_70 _let_69)) _let_43) (or (and (or _let_66 _let_46 _let_67 _let_64) (or (not _let_66) _let_46 _let_65 _let_64)) _let_41) (or (and (or _let_61 _let_46 _let_62 _let_59) (or (not _let_61) _let_46 _let_60 _let_59)) _let_39) (or (and (or _let_56 _let_46 _let_57 _let_54) (or (not _let_56) _let_46 _let_55 _let_54)) _let_37) (or (and (or _let_51 _let_46 _let_52 _let_49) (or (not _let_51) _let_46 _let_50 _let_49)) _let_33) (or (and (or _let_47 _let_46 _let_48 _let_13) (or (not _let_47) _let_46 _let_45 _let_13)) _let_44) (or _let_42 (not (tptp.p106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (or _let_40 _let_43) (or _let_38 _let_41) (or _let_34 _let_39) (or _let_32 _let_37) (or _let_36 _let_33)))) (let ((_let_74 (or _let_10 _let_10 _let_10 _let_10 _let_8 _let_73))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 1)) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_22)) :args ((or _let_15 _let_18))) _let_24 :args (_let_15 true _let_18)))) (let ((_let_76 (_let_15))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (or _let_8 _let_51 _let_34 _let_33))) (let ((_let_79 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (tptp.p2 X) (tptp.p102 X) (not (tptp.p101 X)))))) (let ((_let_80 (not _let_78))) (let ((_let_81 (not _let_79))) (let ((_let_82 (and _let_81 (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (not (tptp.p2 X)) (tptp.p102 X) (not (tptp.p101 X)))))))) (let ((_let_83 (or _let_82 _let_14 _let_13))) (let ((_let_84 (and (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (tptp.p6 X) (tptp.p106 X) (not (tptp.p105 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (not (tptp.p6 X)) (tptp.p106 X) (not (tptp.p105 X)))))) _let_68 _let_64) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (tptp.p5 X) (tptp.p105 X) (not (tptp.p104 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (not (tptp.p5 X)) (tptp.p105 X) (not (tptp.p104 X)))))) _let_63 _let_59) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (tptp.p4 X) (tptp.p104 X) (not (tptp.p103 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (not (tptp.p4 X)) (tptp.p104 X) (not (tptp.p103 X)))))) _let_58 _let_54) (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (tptp.p3 X) (tptp.p103 X) (not (tptp.p102 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (not (tptp.p3 X)) (tptp.p103 X) (not (tptp.p102 X)))))) _let_53 _let_49) _let_83 (or (and (or _let_70 _let_10 _let_72 _let_69) (or _let_72 _let_10 _let_70 _let_69)) _let_69) (or (and (or _let_65 _let_10 _let_67 _let_64) (or _let_67 _let_10 _let_65 _let_64)) _let_64) (or (and (or _let_60 _let_10 _let_62 _let_59) (or _let_62 _let_10 _let_60 _let_59)) _let_59) (or (and (or _let_55 _let_10 _let_57 _let_54) (or _let_57 _let_10 _let_55 _let_54)) _let_54) (or (and (or _let_50 _let_10 _let_52 _let_49) (or _let_52 _let_10 _let_50 _let_49)) _let_49) (or (and (or _let_45 _let_10 _let_48 _let_13) (or _let_48 _let_10 _let_45 _let_13)) _let_13) (or _let_68 (not (tptp.p106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or _let_63 _let_69) (or _let_58 _let_64) (or _let_53 _let_59) (or _let_14 _let_54) (or _let_12 _let_49)))) (let ((_let_85 (or _let_10 _let_10 _let_10 _let_10 _let_10 _let_84))) (let ((_let_86 (_let_2))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_86)) _let_87 :args (_let_9 false _let_2)))) (let ((_let_89 (_let_81))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_89)) :args _let_89)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_79))) (REFL :args (_let_80)) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_82 0)) :args ((or _let_81 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_14 _let_13 _let_82 (not _let_83)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 2)) _let_24 :args (_let_49 true _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 3)) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_22)) :args ((or _let_12 _let_18))) _let_24 :args (_let_12 true _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_84 4)) :args ((or _let_83 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false _let_12 false _let_83)) :args (_let_81 false _let_82)) :args (_let_80 true _let_79)))) (let ((_let_91 (REFL :args (_let_78)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 0)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_22)) :args ((or _let_7 _let_78))) _let_90 :args (_let_7 true _let_78)))) (let ((_let_93 (_let_30))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_93)) :args _let_93)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_28))) (REFL :args (_let_29)) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 0)) :args ((or _let_30 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_33 _let_31 (not _let_35)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_78 2)) _let_90 :args (_let_37 true _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 3)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_22)) :args ((or _let_32 _let_78))) _let_90 :args (_let_32 true _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 3)) :args ((or _let_35 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_74))) :args ((or _let_10 _let_8 _let_73 (not _let_74)))) _let_88 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_76)) _let_75 :args (_let_74 false _let_15)) :args (_let_73 false _let_9 false _let_7 false _let_74)) :args (_let_35 false _let_73)) :args (_let_31 true _let_34 false _let_32 false _let_35)) :args (_let_30 false _let_31)) :args (_let_29 true _let_28)))) (let ((_let_95 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_95) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_11))) :args ((or _let_10 _let_8 _let_6 _let_4 _let_26))) _let_88 _let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG (REFL :args (_let_27)) (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_22)) :args ((or _let_5 _let_27))) _let_94 :args (_let_5 true _let_27)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 1)) _let_94 :args ((not _let_4) true _let_27)) :args (_let_26 false _let_9 false _let_7 false _let_5 true _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_3))) :args _let_22)) :args ((or _let_3 _let_18))) _let_24 :args (_let_3 true _let_18)) :args (false true _let_11 false _let_3)) :args (_let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 15.35/15.63 )
% 15.35/15.63 % SZS output end Proof for LCL656+1.005
% 15.35/15.63 % cvc5---1.0.5 exiting
% 15.35/15.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------