%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV609+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:35:19 PM UTC 2026
% Result : Theorem 4.06s 11.45s
% Output : CNFRefutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 18 unt; 0 def)
% Number of atoms : 201 ( 6 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 244 ( 90 ~; 87 |; 13 &)
% ( 0 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 52 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
! [X184] :
( cLambda_2eRedexes_2eredexes___24t(X184)
=> ! [X2907] :
( cLambda_2eRedexes_2eredexes___24t(X2907)
=> ! [X2908] :
( cLambda_2eRedexes_2eredexes___24t(X2908)
=> ( cLambda_2eRedexes_2esub___24a2(X2907,X184)
=> ( cLambda_2eRedexes_2eregular___24a1(X184)
=> ! [X2996] :
( cLambda_2eRedexes_2eredexes___24t(X2996)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X184,X2907,X2996)
=> ! [X2935] :
( cLambda_2eRedexes_2eredexes___24t(X2935)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X2908,X2907,X2935)
=> ! [X2997] :
( cLambda_2eRedexes_2eredexes___24t(X2997)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X2935,X2996,X2997)
=> cLambda_2eResiduals_2eresiduals___24a3(X2908,X184,X2997) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof('Lambda.Residuals.residuals_comp',axiom,
! [X184] :
( cLambda_2eRedexes_2eredexes___24t(X184)
=> ! [X2907] :
( cLambda_2eRedexes_2eredexes___24t(X2907)
=> ! [X2908] :
( cLambda_2eRedexes_2eredexes___24t(X2908)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X184,X2907,X2908)
=> cLambda_2eRedexes_2ecomp___24a2(X184,X2907) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Lambda.Residuals.residuals_comp') ).
fof('Lambda.Redexes.comp_trans',axiom,
! [X184] :
( cLambda_2eRedexes_2eredexes___24t(X184)
=> ! [X2907] :
( cLambda_2eRedexes_2eredexes___24t(X2907)
=> ( cLambda_2eRedexes_2ecomp___24a2(X184,X2907)
=> ! [X2949] :
( cLambda_2eRedexes_2eredexes___24t(X2949)
=> ( cLambda_2eRedexes_2ecomp___24a2(X2907,X2949)
=> cLambda_2eRedexes_2ecomp___24a2(X184,X2949) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Lambda.Redexes.comp_trans') ).
fof('Cube.prism1',axiom,
! [X184] :
( cLambda_2eRedexes_2eredexes___24t(X184)
=> ! [X2907] :
( cLambda_2eRedexes_2eredexes___24t(X2907)
=> ! [X2908] :
( cLambda_2eRedexes_2eredexes___24t(X2908)
=> ( cLambda_2eRedexes_2esub___24a2(X2907,X184)
=> ! [X2933] :
( cLambda_2eRedexes_2eredexes___24t(X2933)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X184,X2907,X2933)
=> ! [X2936] :
( cLambda_2eRedexes_2eredexes___24t(X2936)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X2908,X2907,X2936)
=> ! [X2937] :
( cLambda_2eRedexes_2eredexes___24t(X2937)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X2908,X184,X2937)
=> cLambda_2eResiduals_2eresiduals___24a3(X2936,X2933,X2937) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Cube.prism1') ).
fof('Lambda.Redexes.comp_sym',axiom,
! [X184] :
( cLambda_2eRedexes_2eredexes___24t(X184)
=> ! [X2907] :
( cLambda_2eRedexes_2eredexes___24t(X2907)
=> ( cLambda_2eRedexes_2ecomp___24a2(X184,X2907)
=> cLambda_2eRedexes_2ecomp___24a2(X2907,X184) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Lambda.Redexes.comp_sym') ).
fof('Lambda.Residuals.residuals_intro',axiom,
! [X184] :
( cLambda_2eRedexes_2eredexes___24t(X184)
=> ! [X2907] :
( cLambda_2eRedexes_2eredexes___24t(X2907)
=> ( cLambda_2eRedexes_2ecomp___24a2(X184,X2907)
=> ( cLambda_2eRedexes_2eregular___24a1(X2907)
=> ? [X2911] :
( cLambda_2eResiduals_2eresiduals___24a3(X184,X2907,X2911)
& cLambda_2eRedexes_2eredexes___24t(X2911) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Lambda.Residuals.residuals_intro') ).
fof('Lambda.Residuals.residuals_function',axiom,
! [X184] :
( cLambda_2eRedexes_2eredexes___24t(X184)
=> ! [X2907] :
( cLambda_2eRedexes_2eredexes___24t(X2907)
=> ! [X2908] :
( cLambda_2eRedexes_2eredexes___24t(X2908)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X184,X2907,X2908)
=> ! [X2964] :
( cLambda_2eRedexes_2eredexes___24t(X2964)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X184,X2907,X2964)
=> X2964 = X2908 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Lambda.Residuals.residuals_function') ).
fof(c_0_7,negated_conjecture,
~ ! [X184] :
( cLambda_2eRedexes_2eredexes___24t(X184)
=> ! [X2907] :
( cLambda_2eRedexes_2eredexes___24t(X2907)
=> ! [X2908] :
( cLambda_2eRedexes_2eredexes___24t(X2908)
=> ( cLambda_2eRedexes_2esub___24a2(X2907,X184)
=> ( cLambda_2eRedexes_2eregular___24a1(X184)
=> ! [X2996] :
( cLambda_2eRedexes_2eredexes___24t(X2996)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X184,X2907,X2996)
=> ! [X2935] :
( cLambda_2eRedexes_2eredexes___24t(X2935)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X2908,X2907,X2935)
=> ! [X2997] :
( cLambda_2eRedexes_2eredexes___24t(X2997)
=> ( cLambda_2eResiduals_2eresiduals___24a3(X2935,X2996,X2997)
=> cLambda_2eResiduals_2eresiduals___24a3(X2908,X184,X2997) ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).
fof(c_0_8,plain,
! [X3020,X3021,X3022] :
( cLambda_2eRedexes_2ecomp___24a2(X3020,X3021)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X3020,X3021,X3022)
| ~ cLambda_2eRedexes_2eredexes___24t(X3022)
| ~ cLambda_2eRedexes_2eredexes___24t(X3021)
| ~ cLambda_2eRedexes_2eredexes___24t(X3020) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Lambda.Residuals.residuals_comp'])])])]) ).
fof(c_0_9,negated_conjecture,
( ~ cLambda_2eResiduals_2eresiduals___24a3(esk3_0,esk1_0,esk6_0)
& cLambda_2eResiduals_2eresiduals___24a3(esk5_0,esk4_0,esk6_0)
& cLambda_2eRedexes_2eredexes___24t(esk6_0)
& cLambda_2eResiduals_2eresiduals___24a3(esk3_0,esk2_0,esk5_0)
& cLambda_2eRedexes_2eredexes___24t(esk5_0)
& cLambda_2eResiduals_2eresiduals___24a3(esk1_0,esk2_0,esk4_0)
& cLambda_2eRedexes_2eredexes___24t(esk4_0)
& cLambda_2eRedexes_2eregular___24a1(esk1_0)
& cLambda_2eRedexes_2esub___24a2(esk2_0,esk1_0)
& cLambda_2eRedexes_2eredexes___24t(esk3_0)
& cLambda_2eRedexes_2eredexes___24t(esk2_0)
& cLambda_2eRedexes_2eredexes___24t(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_10,plain,
! [X3138,X3139,X3140] :
( cLambda_2eRedexes_2ecomp___24a2(X3138,X3140)
| ~ cLambda_2eRedexes_2ecomp___24a2(X3139,X3140)
| ~ cLambda_2eRedexes_2eredexes___24t(X3140)
| ~ cLambda_2eRedexes_2ecomp___24a2(X3138,X3139)
| ~ cLambda_2eRedexes_2eredexes___24t(X3139)
| ~ cLambda_2eRedexes_2eredexes___24t(X3138) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Lambda.Redexes.comp_trans'])])])]) ).
cnf(c_0_11,plain,
( ~ cLambda_2eResiduals_2eresiduals___24a3(X1,X2,X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| cLambda_2eRedexes_2ecomp___24a2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
cLambda_2eResiduals_2eresiduals___24a3(esk3_0,esk2_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
cLambda_2eRedexes_2eredexes___24t(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
cLambda_2eRedexes_2eredexes___24t(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
cLambda_2eRedexes_2eredexes___24t(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_16,plain,
! [X3065,X3066,X3067,X3068,X3069,X3070] :
( cLambda_2eResiduals_2eresiduals___24a3(X3069,X3068,X3070)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X3067,X3065,X3070)
| ~ cLambda_2eRedexes_2eredexes___24t(X3070)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X3067,X3066,X3069)
| ~ cLambda_2eRedexes_2eredexes___24t(X3069)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X3065,X3066,X3068)
| ~ cLambda_2eRedexes_2eredexes___24t(X3068)
| ~ cLambda_2eRedexes_2esub___24a2(X3066,X3065)
| ~ cLambda_2eRedexes_2eredexes___24t(X3067)
| ~ cLambda_2eRedexes_2eredexes___24t(X3066)
| ~ cLambda_2eRedexes_2eredexes___24t(X3065) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Cube.prism1'])])])]) ).
cnf(c_0_17,plain,
( ~ cLambda_2eRedexes_2ecomp___24a2(X2,X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X3)
| ~ cLambda_2eRedexes_2ecomp___24a2(X1,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| cLambda_2eRedexes_2ecomp___24a2(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
cLambda_2eRedexes_2ecomp___24a2(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]),c_0_15])]) ).
fof(c_0_19,plain,
! [X3136,X3137] :
( cLambda_2eRedexes_2ecomp___24a2(X3137,X3136)
| ~ cLambda_2eRedexes_2ecomp___24a2(X3136,X3137)
| ~ cLambda_2eRedexes_2eredexes___24t(X3137)
| ~ cLambda_2eRedexes_2eredexes___24t(X3136) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Lambda.Redexes.comp_sym'])])])]) ).
cnf(c_0_20,plain,
( ~ cLambda_2eResiduals_2eresiduals___24a3(X3,X1,X6)
| ~ cLambda_2eRedexes_2eredexes___24t(X6)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X3,X2,X5)
| ~ cLambda_2eRedexes_2eredexes___24t(X5)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,X2,X4)
| ~ cLambda_2eRedexes_2eredexes___24t(X4)
| ~ cLambda_2eRedexes_2esub___24a2(X2,X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| cLambda_2eResiduals_2eresiduals___24a3(X5,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
cLambda_2eResiduals_2eresiduals___24a3(esk1_0,esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
cLambda_2eRedexes_2esub___24a2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,negated_conjecture,
cLambda_2eRedexes_2eredexes___24t(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
cLambda_2eRedexes_2eredexes___24t(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,negated_conjecture,
( ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2ecomp___24a2(esk2_0,X1)
| cLambda_2eRedexes_2ecomp___24a2(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14]),c_0_15])]) ).
cnf(c_0_26,plain,
( ~ cLambda_2eRedexes_2ecomp___24a2(X1,X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| cLambda_2eRedexes_2ecomp___24a2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,negated_conjecture,
( ~ cLambda_2eRedexes_2eredexes___24t(X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X3,esk1_0,X2)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X3,esk2_0,X1)
| cLambda_2eResiduals_2eresiduals___24a3(X1,esk4_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]),c_0_14]),c_0_24])]) ).
fof(c_0_28,plain,
! [X3036,X3037] :
( ( ~ cLambda_2eRedexes_2eredexes___24t(X3036)
| ~ cLambda_2eRedexes_2eredexes___24t(X3037)
| ~ cLambda_2eRedexes_2ecomp___24a2(X3036,X3037)
| ~ cLambda_2eRedexes_2eregular___24a1(X3037)
| cLambda_2eResiduals_2eresiduals___24a3(X3036,X3037,esk12_2(X3036,X3037)) )
& ( ~ cLambda_2eRedexes_2eredexes___24t(X3036)
| ~ cLambda_2eRedexes_2eredexes___24t(X3037)
| ~ cLambda_2eRedexes_2ecomp___24a2(X3036,X3037)
| ~ cLambda_2eRedexes_2eregular___24a1(X3037)
| cLambda_2eRedexes_2eredexes___24t(esk12_2(X3036,X3037)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Lambda.Residuals.residuals_intro'])])])])])]) ).
cnf(c_0_29,negated_conjecture,
( ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2ecomp___24a2(X1,esk2_0)
| cLambda_2eRedexes_2ecomp___24a2(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_14])]) ).
cnf(c_0_30,negated_conjecture,
cLambda_2eRedexes_2ecomp___24a2(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_21]),c_0_23]),c_0_14]),c_0_24])]) ).
fof(c_0_31,plain,
! [X3023,X3024,X3025,X3026] :
( X3026 = X3025
| ~ cLambda_2eResiduals_2eresiduals___24a3(X3023,X3024,X3026)
| ~ cLambda_2eRedexes_2eredexes___24t(X3026)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X3023,X3024,X3025)
| ~ cLambda_2eRedexes_2eredexes___24t(X3025)
| ~ cLambda_2eRedexes_2eredexes___24t(X3024)
| ~ cLambda_2eRedexes_2eredexes___24t(X3023) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Lambda.Residuals.residuals_function'])])])]) ).
cnf(c_0_32,negated_conjecture,
( ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eResiduals_2eresiduals___24a3(esk3_0,esk1_0,X1)
| cLambda_2eResiduals_2eresiduals___24a3(esk5_0,esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_12]),c_0_13]),c_0_15])]) ).
cnf(c_0_33,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eRedexes_2ecomp___24a2(X1,X2)
| ~ cLambda_2eRedexes_2eregular___24a1(X2)
| cLambda_2eResiduals_2eresiduals___24a3(X1,X2,esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
cLambda_2eRedexes_2ecomp___24a2(esk3_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_24])]) ).
cnf(c_0_35,negated_conjecture,
cLambda_2eRedexes_2eregular___24a1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_36,plain,
( ~ cLambda_2eResiduals_2eresiduals___24a3(X1,X2,X4)
| ~ cLambda_2eRedexes_2eredexes___24t(X4)
| ~ cLambda_2eResiduals_2eresiduals___24a3(X1,X2,X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X3)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| X4 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,negated_conjecture,
cLambda_2eResiduals_2eresiduals___24a3(esk5_0,esk4_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_38,negated_conjecture,
cLambda_2eRedexes_2eredexes___24t(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_39,negated_conjecture,
( ~ cLambda_2eRedexes_2eredexes___24t(esk12_2(esk3_0,esk1_0))
| cLambda_2eResiduals_2eresiduals___24a3(esk5_0,esk4_0,esk12_2(esk3_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]),c_0_24]),c_0_15])]) ).
cnf(c_0_40,plain,
( ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cLambda_2eRedexes_2ecomp___24a2(X1,X2)
| ~ cLambda_2eRedexes_2eregular___24a1(X2)
| cLambda_2eRedexes_2eredexes___24t(esk12_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,negated_conjecture,
( ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eResiduals_2eresiduals___24a3(esk5_0,esk4_0,X1)
| esk6_0 = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_23]),c_0_13])]) ).
cnf(c_0_42,negated_conjecture,
cLambda_2eResiduals_2eresiduals___24a3(esk5_0,esk4_0,esk12_2(esk3_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_34]),c_0_35]),c_0_24]),c_0_15])]) ).
cnf(c_0_43,negated_conjecture,
( ~ cLambda_2eRedexes_2eredexes___24t(esk12_2(esk3_0,esk1_0))
| esk12_2(esk3_0,esk1_0) = esk6_0 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_44,negated_conjecture,
esk12_2(esk3_0,esk1_0) = esk6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_34]),c_0_35]),c_0_24]),c_0_15])]) ).
cnf(c_0_45,negated_conjecture,
~ cLambda_2eResiduals_2eresiduals___24a3(esk3_0,esk1_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_44]),c_0_34]),c_0_35]),c_0_24]),c_0_15])]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEV609+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/10.54 % Computer : n012.cluster.edu
% 0.04/10.54 % Model : x86_64 x86_64
% 0.04/10.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/10.54 % Memory : 8046.5625MB
% 0.04/10.54 % OS : Linux 6.8.0-71-generic
% 0.04/10.54 % CPULimit : 300
% 0.04/10.54 % WCLimit : 300
% 0.04/10.54 % DateTime : Mon Sep 21 07:29:25 UTC 2026
% 0.04/10.55 % CPUTime :
% 0.04/10.55 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/10.59 Running first-order theorem proving
% 0.04/10.59 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.06/11.45 % Version: 3.5.1
% 4.06/11.45 % Preprocessing class: FMLLSMLLSSSNFFN.
% 4.06/11.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.06/11.45 % Starting new_bool_3 with 900s (3) cores
% 4.06/11.45 % Starting new_bool_1 with 900s (3) cores
% 4.06/11.45 % Starting sh5l with 300s (1) cores
% 4.06/11.45 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 4.06/11.45 % new_bool_3 with pid 1897800 completed with status 0
% 4.06/11.45 % Result found by new_bool_3
% 4.06/11.45 % Preprocessing class: FMLLSMLLSSSNFFN.
% 4.06/11.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.06/11.45 % Starting new_bool_3 with 900s (3) cores
% 4.06/11.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.06/11.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.06/11.45 % Search class: FGHSF-FMLM32-MFFFFFNN
% 4.06/11.45 % partial match(1): FGHSF-SMLM32-MFFFFFNN
% 4.06/11.45 % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 4.06/11.45 % Starting SubtermCWHack with 91s (1) cores
% 4.06/11.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 541s (1) cores
% 4.06/11.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 91s (1) cores
% 4.06/11.45 % G-E--_208_C18_F1_SE_CS_SP_PS_S2o with pid 1897806 completed with status 0
% 4.06/11.45 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2o
% 4.06/11.45 % Preprocessing class: FMLLSMLLSSSNFFN.
% 4.06/11.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.06/11.45 % Starting new_bool_3 with 900s (3) cores
% 4.06/11.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 4.06/11.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.06/11.45 % Search class: FGHSF-FMLM32-MFFFFFNN
% 4.06/11.45 % partial match(1): FGHSF-SMLM32-MFFFFFNN
% 4.06/11.45 % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 4.06/11.45 % Starting SubtermCWHack with 91s (1) cores
% 4.06/11.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2o with 541s (1) cores
% 4.06/11.45 % Preprocessing time : 0.018 s
% 4.06/11.45 % Presaturation interreduction done
% 4.06/11.45
% 4.06/11.45 % Proof found!
% 4.06/11.45 % SZS status Theorem
% 4.06/11.45 % SZS output start CNFRefutation
% See solution above
% 4.06/11.45 % Parsed axioms : 2901
% 4.06/11.45 % Removed by relevancy pruning/SinE : 2767
% 4.06/11.45 % Initial clauses : 915
% 4.06/11.45 % Removed in clause preprocessing : 87
% 4.06/11.45 % Initial clauses in saturation : 828
% 4.06/11.45 % Processed clauses : 4668
% 4.06/11.45 % ...of these trivial : 35
% 4.06/11.45 % ...subsumed : 2648
% 4.06/11.45 % ...remaining for further processing : 1985
% 4.06/11.45 % Other redundant clauses eliminated : 714
% 4.06/11.45 % Clauses deleted for lack of memory : 0
% 4.06/11.45 % Backward-subsumed : 13
% 4.06/11.45 % Backward-rewritten : 23
% 4.06/11.45 % Generated clauses : 12904
% 4.06/11.45 % ...of the previous two non-redundant : 11177
% 4.06/11.45 % ...aggressively subsumed : 0
% 4.06/11.45 % Contextual simplify-reflections : 83
% 4.06/11.45 % Paramodulations : 12177
% 4.06/11.45 % Factorizations : 4
% 4.06/11.45 % NegExts : 0
% 4.06/11.45 % Equation resolutions : 723
% 4.06/11.45 % Disequality decompositions : 0
% 4.06/11.45 % Total rewrite steps : 4126
% 4.06/11.45 % ...of those cached : 4057
% 4.06/11.45 % Propositional unsat checks : 0
% 4.06/11.45 % Propositional check models : 0
% 4.06/11.45 % Propositional check unsatisfiable : 0
% 4.06/11.45 % Propositional clauses : 0
% 4.06/11.45 % Propositional clauses after purity: 0
% 4.06/11.45 % Propositional unsat core size : 0
% 4.06/11.45 % Propositional preprocessing time : 0.000
% 4.06/11.45 % Propositional encoding time : 0.000
% 4.06/11.45 % Propositional solver time : 0.000
% 4.06/11.45 % Success case prop preproc time : 0.000
% 4.06/11.45 % Success case prop encoding time : 0.000
% 4.06/11.45 % Success case prop solver time : 0.000
% 4.06/11.45 % Current number of processed clauses : 1232
% 4.06/11.45 % Positive orientable unit clauses : 53
% 4.06/11.45 % Positive unorientable unit clauses: 0
% 4.06/11.45 % Negative unit clauses : 7
% 4.06/11.45 % Non-unit-clauses : 1172
% 4.06/11.45 % Current number of unprocessed clauses: 8033
% 4.06/11.45 % ...number of literals in the above : 55001
% 4.06/11.45 % Current number of archived formulas : 0
% 4.06/11.45 % Current number of archived clauses : 752
% 4.06/11.45 % Clause-clause subsumption calls (NU) : 259562
% 4.06/11.45 % Rec. Clause-clause subsumption calls : 42333
% 4.06/11.45 % Non-unit clause-clause subsumptions : 2689
% 4.06/11.45 % Unit Clause-clause subsumption calls : 1402
% 4.06/11.45 % Rewrite failures with RHS unbound : 0
% 4.06/11.45 % BW rewrite match attempts : 26
% 4.06/11.45 % BW rewrite match successes : 18
% 4.06/11.45 % Condensation attempts : 0
% 4.06/11.45 % Condensation successes : 0
% 4.06/11.45 % Termbank termtop insertions : 326047
% 4.06/11.45 % Search garbage collected termcells : 45462
% 4.06/11.45
% 4.06/11.45 % -------------------------------------------------
% 4.06/11.45 % User time : 0.578 s
% 4.06/11.45 % System time : 0.034 s
% 4.06/11.45 % Total time : 0.612 s
% 4.06/11.45 % Maximum resident set size: 15596 pages
% 4.06/11.45
% 4.06/11.45 % -------------------------------------------------
% 4.06/11.45 % User time : 1.501 s
% 4.06/11.45 % System time : 0.103 s
% 4.06/11.45 % Total time : 1.605 s
% 4.06/11.45 % Maximum resident set size: 11520 pages
% 4.06/11.45 % E exiting
%------------------------------------------------------------------------------