%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP660+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.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 : Tue May 5 04:26:47 PM UTC 2026
% Result : Theorem 5.98s 4.35s
% Output : CNFRefutation 5.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 6
% Syntax : Number of formulae : 92 ( 88 unt; 0 def)
% Number of atoms : 96 ( 95 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 2 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% Number of variables : 181 ( 0 sgn 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f05,axiom,
! [X3,X1,X2] : mult(mult(mult(X2,X1),X3),X2) = mult(X2,mult(X1,mult(X3,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f01,axiom,
! [X1,X2] : mult(X2,ld(X2,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f02,axiom,
! [X1,X2] : ld(X2,mult(X2,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f03,axiom,
! [X1,X2] : mult(rd(X2,X1),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(goals,conjecture,
? [X4] :
! [X5] :
( mult(X5,X4) = X5
& mult(X4,X5) = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(c_0_6,plain,
! [X27,X28,X29] : mult(mult(mult(X29,X28),X27),X29) = mult(X29,mult(X28,mult(X27,X29))),
inference(variable_rename,[status(thm)],[f05]) ).
fof(c_0_7,plain,
! [X19,X20] : mult(X20,ld(X20,X19)) = X19,
inference(variable_rename,[status(thm)],[f01]) ).
fof(c_0_8,plain,
! [X21,X22] : ld(X22,mult(X22,X21)) = X21,
inference(variable_rename,[status(thm)],[f02]) ).
cnf(c_0_9,plain,
mult(mult(mult(X1,X2),X3),X1) = mult(X1,mult(X2,mult(X3,X1))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
mult(X1,mult(X2,mult(ld(mult(X1,X2),X3),X1))) = mult(X3,X1),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_13,plain,
! [X25,X26] : rd(mult(X26,X25),X25) = X26,
inference(variable_rename,[status(thm)],[f04]) ).
cnf(c_0_14,plain,
mult(X1,mult(ld(mult(X2,X1),X3),X2)) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_15,plain,
! [X23,X24] : mult(rd(X24,X23),X23) = X24,
inference(variable_rename,[status(thm)],[f03]) ).
cnf(c_0_16,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
mult(ld(mult(X1,X2),X3),X1) = ld(X2,ld(X1,mult(X3,X1))),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_18,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
rd(ld(X1,ld(X2,mult(X3,X2))),X2) = ld(mult(X2,X1),X3),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_11,c_0_18]) ).
cnf(c_0_21,plain,
rd(ld(X1,X2),X2) = ld(mult(X2,X1),X2),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_22,plain,
ld(ld(mult(X1,X2),X1),ld(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,plain,
ld(ld(X1,X2),ld(ld(X2,X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_22,c_0_10]) ).
cnf(c_0_24,plain,
ld(ld(X1,X2),X1) = mult(ld(X2,X1),X1),
inference(spm,[status(thm)],[c_0_10,c_0_23]) ).
cnf(c_0_25,plain,
mult(ld(X1,X2),mult(ld(X2,X1),X1)) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_24]) ).
cnf(c_0_26,plain,
mult(ld(X1,rd(X1,X2)),mult(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_25,c_0_20]) ).
cnf(c_0_27,plain,
rd(X1,mult(X2,X1)) = ld(mult(mult(X2,X1),X2),mult(X2,X1)),
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_28,plain,
ld(X1,rd(X1,X2)) = ld(mult(mult(X2,X1),X2),mult(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_26]),c_0_27]) ).
cnf(c_0_29,plain,
rd(X1,X2) = mult(X1,ld(mult(mult(X2,X1),X2),mult(X2,X1))),
inference(spm,[status(thm)],[c_0_10,c_0_28]) ).
cnf(c_0_30,plain,
ld(mult(X1,ld(mult(mult(X2,X1),X2),mult(X2,X1))),X1) = X2,
inference(rw,[status(thm)],[c_0_20,c_0_29]) ).
cnf(c_0_31,plain,
mult(ld(mult(X1,X2),X1),mult(X2,mult(X1,X2))) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_32,plain,
ld(mult(mult(X1,mult(X2,X1)),X1),mult(X1,mult(X2,X1))) = ld(mult(X2,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_10]),c_0_11]) ).
cnf(c_0_33,plain,
ld(ld(X1,X2),ld(X1,mult(X3,X1))) = mult(ld(X2,X3),X1),
inference(spm,[status(thm)],[c_0_17,c_0_10]) ).
cnf(c_0_34,plain,
mult(mult(mult(X1,mult(X2,X1)),X1),ld(mult(X2,X1),X2)) = mult(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_10,c_0_32]) ).
cnf(c_0_35,plain,
ld(ld(ld(X1,X2),X3),ld(ld(X1,X2),X2)) = mult(ld(X3,X1),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_33,c_0_10]) ).
cnf(c_0_36,plain,
mult(mult(mult(ld(X1,X2),X2),ld(X1,X2)),ld(X2,X1)) = mult(ld(X1,X2),X2),
inference(spm,[status(thm)],[c_0_34,c_0_10]) ).
cnf(c_0_37,plain,
ld(ld(ld(X1,X1),X2),mult(ld(X1,X1),X1)) = mult(ld(X2,X1),ld(X1,X1)),
inference(spm,[status(thm)],[c_0_35,c_0_24]) ).
cnf(c_0_38,plain,
mult(mult(X1,X2),X3) = mult(X3,mult(ld(X3,X1),mult(X2,X3))),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_39,plain,
mult(ld(X1,X1),mult(X1,mult(ld(X1,X1),ld(X1,X1)))) = mult(ld(X1,X1),X1),
inference(spm,[status(thm)],[c_0_9,c_0_36]) ).
cnf(c_0_40,plain,
ld(mult(ld(X1,X1),X1),mult(ld(X1,X1),X1)) = mult(ld(X1,X1),ld(X1,X1)),
inference(spm,[status(thm)],[c_0_37,c_0_24]) ).
cnf(c_0_41,plain,
ld(X1,mult(mult(X2,X3),X1)) = mult(ld(X1,X2),mult(X3,X1)),
inference(spm,[status(thm)],[c_0_11,c_0_38]) ).
cnf(c_0_42,plain,
mult(X1,mult(ld(X1,X1),ld(X1,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_39]),c_0_11]) ).
cnf(c_0_43,plain,
ld(X1,mult(ld(ld(X1,X1),ld(X1,X1)),X1)) = mult(mult(ld(X1,X1),ld(X1,X1)),ld(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_40]),c_0_41]),c_0_10]) ).
cnf(c_0_44,plain,
mult(ld(X1,X1),ld(X1,X1)) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_11,c_0_42]) ).
cnf(c_0_45,plain,
mult(X1,mult(ld(X1,ld(X1,X2)),mult(ld(mult(X2,X1),X2),X1))) = ld(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_11]),c_0_17]),c_0_11]),c_0_17]),c_0_11]),c_0_38]) ).
cnf(c_0_46,plain,
mult(ld(ld(X1,X1),ld(X1,X1)),X1) = mult(X1,mult(mult(ld(X1,X1),ld(X1,X1)),ld(X1,X1))),
inference(spm,[status(thm)],[c_0_10,c_0_43]) ).
cnf(c_0_47,plain,
ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_44]),c_0_44]),c_0_10]) ).
cnf(c_0_48,plain,
mult(X1,mult(ld(X1,ld(X1,X1)),ld(X1,X1))) = ld(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_17]),c_0_11]) ).
cnf(c_0_49,plain,
mult(ld(X1,X1),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_44]),c_0_44]),c_0_10]),c_0_47]) ).
cnf(c_0_50,plain,
mult(ld(X1,ld(X1,X1)),ld(X1,X1)) = ld(X1,ld(X1,X1)),
inference(spm,[status(thm)],[c_0_11,c_0_48]) ).
cnf(c_0_51,plain,
ld(ld(X1,X2),ld(X1,X1)) = mult(ld(X2,ld(X1,X1)),X1),
inference(spm,[status(thm)],[c_0_33,c_0_49]) ).
cnf(c_0_52,plain,
ld(ld(X1,ld(X1,X1)),ld(X1,ld(X1,X1))) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_11,c_0_50]) ).
cnf(c_0_53,plain,
ld(mult(mult(X1,X2),X3),mult(X1,mult(X2,mult(X3,X1)))) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_54,plain,
ld(ld(X1,X2),mult(X3,mult(X4,X1))) = mult(ld(X2,mult(mult(X1,X3),X4)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_9]),c_0_11]) ).
cnf(c_0_55,plain,
mult(ld(X1,ld(X1,X1)),X1) = ld(X1,X1),
inference(rw,[status(thm)],[c_0_47,c_0_51]) ).
cnf(c_0_56,plain,
ld(ld(X1,X1),ld(X1,ld(X1,X1))) = mult(ld(X1,X1),ld(X1,ld(X1,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_52]),c_0_52]) ).
cnf(c_0_57,plain,
ld(mult(X1,X2),mult(ld(X1,X1),mult(X1,mult(X2,ld(X1,X1))))) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_53,c_0_49]) ).
cnf(c_0_58,plain,
ld(ld(X1,X2),mult(X3,ld(X1,X1))) = mult(ld(X2,mult(mult(X1,X3),ld(X1,ld(X1,X1)))),X1),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
ld(ld(X1,X2),mult(X3,X1)) = mult(ld(X2,mult(mult(X1,X3),ld(X1,X1))),X1),
inference(spm,[status(thm)],[c_0_54,c_0_49]) ).
cnf(c_0_60,plain,
ld(mult(X1,X1),X1) = mult(ld(X1,X1),ld(X1,ld(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_55]),c_0_10]),c_0_10]),c_0_56]) ).
cnf(c_0_61,plain,
mult(ld(X1,X1),ld(X1,ld(X1,X1))) = ld(X1,ld(X1,X1)),
inference(spm,[status(thm)],[c_0_49,c_0_52]) ).
cnf(c_0_62,plain,
ld(X1,mult(ld(X2,X2),mult(X2,mult(ld(X2,X1),ld(X2,X2))))) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_57,c_0_10]) ).
cnf(c_0_63,plain,
mult(ld(ld(X1,X1),X2),ld(X1,X1)) = mult(ld(X1,mult(mult(mult(X1,X2),ld(X1,ld(X1,X1))),ld(X1,X1))),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_44]),c_0_58]),c_0_59]),c_0_10]) ).
cnf(c_0_64,plain,
mult(ld(X1,ld(X1,X2)),mult(ld(mult(X2,X1),X2),X1)) = ld(X1,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_45]) ).
cnf(c_0_65,plain,
ld(mult(X1,X1),X1) = ld(X1,ld(X1,X1)),
inference(rw,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
mult(ld(X1,X1),mult(X1,mult(ld(X1,X2),ld(X1,X1)))) = mult(X2,ld(X1,X1)),
inference(spm,[status(thm)],[c_0_10,c_0_62]) ).
cnf(c_0_67,plain,
mult(ld(X1,X1),mult(ld(X1,mult(mult(mult(X1,X2),ld(X1,ld(X1,X1))),ld(X1,X1))),X1)) = mult(mult(X2,ld(X1,X1)),ld(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_44]),c_0_63]) ).
cnf(c_0_68,plain,
ld(ld(X1,ld(X1,X2)),ld(X1,ld(X1,X2))) = mult(ld(mult(X2,X1),X2),X1),
inference(spm,[status(thm)],[c_0_11,c_0_64]) ).
cnf(c_0_69,plain,
mult(mult(X1,X1),ld(X1,ld(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_65]) ).
cnf(c_0_70,plain,
mult(mult(X1,mult(X2,mult(X3,X1))),mult(X1,X2)) = mult(mult(X1,X2),mult(X3,mult(X1,mult(X1,X2)))),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_71,plain,
mult(ld(X1,X1),mult(mult(X2,ld(X1,X1)),ld(X1,X1))) = mult(X2,ld(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_51]),c_0_55]),c_0_55]),c_0_63]),c_0_67]),c_0_55]) ).
cnf(c_0_72,plain,
mult(mult(ld(X1,X1),X2),ld(X1,X1)) = mult(ld(X1,X1),mult(ld(X1,X1),mult(X2,ld(X1,X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_44]) ).
cnf(c_0_73,plain,
ld(ld(X1,X2),ld(X1,X2)) = mult(ld(mult(mult(X1,X2),X1),mult(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_68,c_0_11]) ).
cnf(c_0_74,plain,
mult(mult(X1,X1),ld(X1,X1)) = mult(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_69]),c_0_24]),c_0_24]),c_0_49]),c_0_24]),c_0_24]),c_0_49]),c_0_10]) ).
cnf(c_0_75,plain,
mult(ld(X1,X1),mult(X2,ld(X1,X1))) = mult(X2,ld(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_44]),c_0_72]),c_0_71]),c_0_44]),c_0_44]),c_0_44]),c_0_71]) ).
cnf(c_0_76,plain,
mult(ld(mult(mult(X1,mult(X1,X2)),X1),mult(X1,mult(X1,X2))),X1) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_73,c_0_11]) ).
cnf(c_0_77,plain,
mult(mult(X1,mult(ld(X1,X2),mult(X3,X1))),X2) = mult(X2,mult(X3,mult(X1,X2))),
inference(spm,[status(thm)],[c_0_70,c_0_10]) ).
cnf(c_0_78,plain,
mult(ld(X1,X2),mult(ld(X2,X3),X1)) = ld(X1,mult(X3,X1)),
inference(spm,[status(thm)],[c_0_10,c_0_33]) ).
fof(c_0_79,negated_conjecture,
~ ? [X4] :
! [X5] :
( mult(X5,X4) = X5
& mult(X4,X5) = X5 ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_80,plain,
ld(mult(X1,X1),mult(X1,mult(X1,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_74]),c_0_49]) ).
cnf(c_0_81,plain,
mult(ld(X1,X1),ld(X2,X2)) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_82,plain,
mult(ld(X1,X2),mult(mult(ld(X2,X1),mult(X3,X2)),X1)) = mult(X3,mult(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_77]),c_0_11]) ).
cnf(c_0_83,plain,
mult(ld(X1,X2),mult(ld(X2,ld(X1,X1)),X1)) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_78,c_0_49]) ).
fof(c_0_84,negated_conjecture,
! [X30] :
( mult(esk1_1(X30),X30) != esk1_1(X30)
| mult(X30,esk2_1(X30)) != esk2_1(X30) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])]) ).
cnf(c_0_85,plain,
mult(ld(mult(X1,X1),X2),mult(ld(X2,X1),mult(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_78,c_0_80]) ).
cnf(c_0_86,plain,
ld(X1,X1) = ld(X2,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_81]),c_0_81]),c_0_81]),c_0_10]),c_0_81]) ).
cnf(c_0_87,plain,
mult(ld(X1,ld(X2,X2)),mult(X2,X1)) = mult(ld(X1,X2),mult(ld(X2,X2),X1)),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,negated_conjecture,
( mult(esk1_1(X1),X1) != esk1_1(X1)
| mult(X1,esk2_1(X1)) != esk2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_89,plain,
mult(ld(X1,X1),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_60]),c_0_61]),c_0_87]),c_0_49]),c_0_49]) ).
cnf(c_0_90,plain,
mult(X1,ld(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_86]),c_0_49]),c_0_10]),c_0_49]) ).
cnf(c_0_91,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GRP660+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.25 % Computer : n012.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon May 4 19:00:16 EDT 2026
% 0.06/0.25 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 5.98/4.35 % Version : CSE_E---1.7
% 5.98/4.35 % Problem : theBenchmark.p
% 5.98/4.35 % SZS status Theorem for theBenchmark.p
% 5.98/4.35 % SZS output start CNFRefutation
% See solution above
% 5.98/4.37 % Total time : 3.363s
%------------------------------------------------------------------------------