%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO460+1 : TPTP v9.2.1. Released v7.0.0.
% 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 : n016.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 04:21:22 PM UTC 2026
% Result : Theorem 23.34s 15.02s
% Output : CNFRefutation 23.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 39 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 21 con; 0-2 aty)
% Number of variables : 51 ( 2 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aNORMu_PASTECARTu_0u_conjunct0,conjecture,
! [X1353,X1354,X1] : s(real,i(s(fun(cart(real,finite_sum(X1354,X1353)),real),vectoru_norm),s(cart(real,finite_sum(X1354,X1353)),i(s(fun(cart(real,X1353),cart(real,finite_sum(X1354,X1353))),i(s(fun(cart(real,X1354),fun(cart(real,X1353),cart(real,finite_sum(X1354,X1353)))),pastecart),s(cart(real,X1354),X1))),s(cart(real,X1353),i(s(fun(num,cart(real,X1353)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) = s(real,i(s(fun(cart(real,X1354),real),vectoru_norm),s(cart(real,X1354),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_PASTECARTu_0u_conjunct0) ).
fof(aNUMERAL,axiom,
! [X84] : s(num,i(s(fun(num,num),numeral),s(num,X84))) = s(num,X84),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aNUMERAL) ).
fof(aNORMu_PASTECART,axiom,
! [X1349,X1350,X1,X8] : s(real,i(s(fun(cart(real,finite_sum(X1349,X1350)),real),vectoru_norm),s(cart(real,finite_sum(X1349,X1350)),i(s(fun(cart(real,X1350),cart(real,finite_sum(X1349,X1350))),i(s(fun(cart(real,X1349),fun(cart(real,X1350),cart(real,finite_sum(X1349,X1350)))),pastecart),s(cart(real,X1349),X1))),s(cart(real,X1350),X8))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1349),real),vectoru_norm),s(cart(real,X1349),X1))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1350),real),vectoru_norm),s(cart(real,X1350),X8))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_PASTECART) ).
fof(aCARDu_BOOL,axiom,
s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))) = s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aCARDu_BOOL) ).
fof(aNORMu_0,axiom,
! [X1015] : s(real,i(s(fun(cart(real,X1015),real),vectoru_norm),s(cart(real,X1015),i(s(fun(num,cart(real,X1015)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNORMu_0) ).
fof(aREALu_POWu_2,axiom,
! [X1] : s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aREALu_POWu_2) ).
fof(aREALu_MULu_LZERO,axiom,
! [X1] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aREALu_MULu_LZERO) ).
fof(aREALu_ADDu_RID,axiom,
! [X1] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aREALu_ADDu_RID) ).
fof(aPOWu_2u_SQRTu_ABS,axiom,
! [X1] : s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) = s(real,i(s(fun(real,real),realu_abs),s(real,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aPOWu_2u_SQRTu_ABS) ).
fof(aREALu_ABSu_NORM,axiom,
! [X1031,X1] : s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,X1031),real),vectoru_norm),s(cart(real,X1031),X1))))) = s(real,i(s(fun(cart(real,X1031),real),vectoru_norm),s(cart(real,X1031),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aREALu_ABSu_NORM) ).
fof(c_0_10,negated_conjecture,
~ ! [X1353,X1354,X1] : s(real,i(s(fun(cart(real,finite_sum(X1354,X1353)),real),vectoru_norm),s(cart(real,finite_sum(X1354,X1353)),i(s(fun(cart(real,X1353),cart(real,finite_sum(X1354,X1353))),i(s(fun(cart(real,X1354),fun(cart(real,X1353),cart(real,finite_sum(X1354,X1353)))),pastecart),s(cart(real,X1354),X1))),s(cart(real,X1353),i(s(fun(num,cart(real,X1353)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) = s(real,i(s(fun(cart(real,X1354),real),vectoru_norm),s(cart(real,X1354),X1))),
inference(assume_negation,[status(cth)],[aNORMu_PASTECARTu_0u_conjunct0]) ).
fof(c_0_11,plain,
! [X16044] : s(num,i(s(fun(num,num),numeral),s(num,X16044))) = s(num,X16044),
inference(variable_rename,[status(thm)],[aNUMERAL]) ).
fof(c_0_12,negated_conjecture,
s(real,i(s(fun(cart(real,finite_sum(esk3847_0,esk3846_0)),real),vectoru_norm),s(cart(real,finite_sum(esk3847_0,esk3846_0)),i(s(fun(cart(real,esk3846_0),cart(real,finite_sum(esk3847_0,esk3846_0))),i(s(fun(cart(real,esk3847_0),fun(cart(real,esk3846_0),cart(real,finite_sum(esk3847_0,esk3846_0)))),pastecart),s(cart(real,esk3847_0),esk3848_0))),s(cart(real,esk3846_0),i(s(fun(num,cart(real,esk3846_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) != s(real,i(s(fun(cart(real,esk3847_0),real),vectoru_norm),s(cart(real,esk3847_0),esk3848_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_13,plain,
! [X30485,X30486,X30487,X30488] : s(real,i(s(fun(cart(real,finite_sum(X30485,X30486)),real),vectoru_norm),s(cart(real,finite_sum(X30485,X30486)),i(s(fun(cart(real,X30486),cart(real,finite_sum(X30485,X30486))),i(s(fun(cart(real,X30485),fun(cart(real,X30486),cart(real,finite_sum(X30485,X30486)))),pastecart),s(cart(real,X30485),X30487))),s(cart(real,X30486),X30488))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X30485),real),vectoru_norm),s(cart(real,X30485),X30487))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X30486),real),vectoru_norm),s(cart(real,X30486),X30488))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),
inference(variable_rename,[status(thm)],[aNORMu_PASTECART]) ).
cnf(c_0_14,plain,
s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))) = s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),
inference(split_conjunct,[status(thm)],[aCARDu_BOOL]) ).
cnf(c_0_15,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X28170] : s(real,i(s(fun(cart(real,X28170),real),vectoru_norm),s(cart(real,X28170),i(s(fun(num,cart(real,X28170)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
inference(variable_rename,[status(thm)],[aNORMu_0]) ).
fof(c_0_17,plain,
! [X18606] : s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X18606))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X18606))),s(real,X18606))),
inference(variable_rename,[status(thm)],[aREALu_POWu_2]) ).
fof(c_0_18,plain,
! [X18541] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X18541))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
inference(variable_rename,[status(thm)],[aREALu_MULu_LZERO]) ).
fof(c_0_19,plain,
! [X18524] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X18524))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,X18524),
inference(variable_rename,[status(thm)],[aREALu_ADDu_RID]) ).
fof(c_0_20,plain,
! [X27879] : s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X27879))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) = s(real,i(s(fun(real,real),realu_abs),s(real,X27879))),
inference(variable_rename,[status(thm)],[aPOWu_2u_SQRTu_ABS]) ).
cnf(c_0_21,negated_conjecture,
s(real,i(s(fun(cart(real,finite_sum(esk3847_0,esk3846_0)),real),vectoru_norm),s(cart(real,finite_sum(esk3847_0,esk3846_0)),i(s(fun(cart(real,esk3846_0),cart(real,finite_sum(esk3847_0,esk3846_0))),i(s(fun(cart(real,esk3847_0),fun(cart(real,esk3846_0),cart(real,finite_sum(esk3847_0,esk3846_0)))),pastecart),s(cart(real,esk3847_0),esk3848_0))),s(cart(real,esk3846_0),i(s(fun(num,cart(real,esk3846_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) != s(real,i(s(fun(cart(real,esk3847_0),real),vectoru_norm),s(cart(real,esk3847_0),esk3848_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,plain,
s(real,i(s(fun(cart(real,finite_sum(X1,X2)),real),vectoru_norm),s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),s(cart(real,X1),X3))),s(cart(real,X2),X4))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X3))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X4))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,plain,
s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))) = s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_24,plain,
s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X1))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,X1))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,plain,
s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) = s(real,i(s(fun(real,real),realu_abs),s(real,X1))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_29,plain,
! [X28218,X28219] : s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,X28218),real),vectoru_norm),s(cart(real,X28218),X28219))))) = s(real,i(s(fun(cart(real,X28218),real),vectoru_norm),s(cart(real,X28218),X28219))),
inference(variable_rename,[status(thm)],[aREALu_ABSu_NORM]) ).
cnf(c_0_30,negated_conjecture,
s(real,i(s(fun(cart(real,finite_sum(esk3847_0,esk3846_0)),real),vectoru_norm),s(cart(real,finite_sum(esk3847_0,esk3846_0)),i(s(fun(cart(real,esk3846_0),cart(real,finite_sum(esk3847_0,esk3846_0))),i(s(fun(cart(real,esk3847_0),fun(cart(real,esk3846_0),cart(real,finite_sum(esk3847_0,esk3846_0)))),pastecart),s(cart(real,esk3847_0),esk3848_0))),s(cart(real,esk3846_0),i(s(fun(num,cart(real,esk3846_0)),vec),s(num,u_0))))))) != s(real,i(s(fun(cart(real,esk3847_0),real),vectoru_norm),s(cart(real,esk3847_0),esk3848_0))),
inference(rw,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_31,plain,
s(real,i(s(fun(cart(real,finite_sum(X1,X2)),real),vectoru_norm),s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),s(cart(real,X1),X3))),s(cart(real,X2),X4))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X3))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X4))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_15]),c_0_23]),c_0_15]),c_0_23]) ).
cnf(c_0_32,plain,
s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_15]),c_0_15]) ).
cnf(c_0_33,plain,
s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,X1))),s(real,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_15]),c_0_23]) ).
cnf(c_0_34,plain,
s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_mul),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))),s(real,X1))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_15]),c_0_15]) ).
cnf(c_0_35,plain,
s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))) = s(real,X1),
inference(rw,[status(thm)],[c_0_27,c_0_15]) ).
cnf(c_0_36,plain,
s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))) = s(real,i(s(fun(real,real),realu_abs),s(real,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_15]),c_0_23]) ).
cnf(c_0_37,plain,
s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[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(rw,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO460+1 : TPTP v9.2.1. Released v7.0.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n016.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 17:58:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 23.34/15.02 % Version : CSE_E---1.7
% 23.34/15.02 % Problem : theBenchmark.p
% 23.34/15.02 % SZS status Theorem for theBenchmark.p
% 23.34/15.02 % SZS output start CNFRefutation
% See solution above
% 23.46/15.07 % Total time : 12.667s
%------------------------------------------------------------------------------