%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS107+1 : TPTP v9.2.1. Released v3.1.0.
% 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 : 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 : Tue May 5 04:36:21 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 8 unt; 0 def)
% Number of atoms : 118 ( 5 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 128 ( 53 ~; 49 |; 18 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 61 ( 1 sgn 33 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X4] :
( cUnsatisfiable(X4)
<=> ( ? [X5] :
( rrx3(X4,X5)
& cc1(X5) )
& ? [X5] :
( rrx4(X4,X5)
& cc2(X5) )
& ca_Cx1(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_20,axiom,
! [X4,X5] :
( rrx3(X4,X5)
=> rrx(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(axiom_12,axiom,
cUnsatisfiable(i2003_11_14_17_21_01226),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(axiom_7,axiom,
! [X4,X5,X7] :
( ( rrx(X4,X5)
& rrx(X4,X7) )
=> X5 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_17,axiom,
! [X4,X5] :
( rrx4(X4,X5)
=> rrx(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(axiom_3,axiom,
! [X4] :
( ca_Ax2(X4)
<=> ( cc2(X4)
& cc1(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_6,axiom,
! [X4] :
( ca_Cx1xcomp(X4)
<=> ~ ? [X5] : ra_Px1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_4,axiom,
! [X4] :
( ca_Cx1(X4)
<=> ? [X6] : ra_Px1(X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X4] :
( ca_Cx1xcomp(X4)
<=> ? [X5] :
( rrx3(X4,X5)
& ca_Ax2(X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(c_0_9,plain,
! [X225,X228,X229,X230] :
( ( rrx3(X225,esk1_1(X225))
| ~ cUnsatisfiable(X225) )
& ( cc1(esk1_1(X225))
| ~ cUnsatisfiable(X225) )
& ( rrx4(X225,esk2_1(X225))
| ~ cUnsatisfiable(X225) )
& ( cc2(esk2_1(X225))
| ~ cUnsatisfiable(X225) )
& ( ca_Cx1(X225)
| ~ cUnsatisfiable(X225) )
& ( ~ rrx3(X228,X229)
| ~ cc1(X229)
| ~ rrx4(X228,X230)
| ~ cc2(X230)
| ~ ca_Cx1(X228)
| cUnsatisfiable(X228) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])])])]) ).
fof(c_0_10,plain,
! [X273,X274] :
( ~ rrx3(X273,X274)
| rrx(X273,X274) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_20])]) ).
cnf(c_0_11,plain,
( rrx3(X1,esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
cUnsatisfiable(i2003_11_14_17_21_01226),
inference(split_conjunct,[status(thm)],[axiom_12]) ).
fof(c_0_13,plain,
! [X244,X245,X246] :
( ~ rrx(X244,X245)
| ~ rrx(X244,X246)
| X245 = X246 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).
cnf(c_0_14,plain,
( rrx(X1,X2)
| ~ rrx3(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
rrx3(i2003_11_14_17_21_01226,esk1_1(i2003_11_14_17_21_01226)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_16,plain,
! [X267,X268] :
( ~ rrx4(X267,X268)
| rrx(X267,X268) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_17])]) ).
fof(c_0_17,plain,
! [X231] :
( ( cc2(X231)
| ~ ca_Ax2(X231) )
& ( cc1(X231)
| ~ ca_Ax2(X231) )
& ( ~ cc2(X231)
| ~ cc1(X231)
| ca_Ax2(X231) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_18,plain,
( X2 = X3
| ~ rrx(X1,X2)
| ~ rrx(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
rrx(i2003_11_14_17_21_01226,esk1_1(i2003_11_14_17_21_01226)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( rrx(X1,X2)
| ~ rrx4(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( rrx4(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,plain,
( ca_Ax2(X1)
| ~ cc2(X1)
| ~ cc1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( cc2(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,plain,
( X1 = esk1_1(i2003_11_14_17_21_01226)
| ~ rrx(i2003_11_14_17_21_01226,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
( rrx(X1,esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_26,plain,
! [X240,X241,X242] :
( ( ~ ca_Cx1xcomp(X240)
| ~ ra_Px1(X240,X241) )
& ( ra_Px1(X242,esk5_1(X242))
| ca_Cx1xcomp(X242) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])])])]) ).
fof(c_0_27,plain,
! [X232,X234,X235] :
( ( ~ ca_Cx1(X232)
| ra_Px1(X232,esk3_1(X232)) )
& ( ~ ra_Px1(X234,X235)
| ca_Cx1(X234) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])])])]) ).
fof(c_0_28,plain,
! [X236,X238,X239] :
( ( rrx3(X236,esk4_1(X236))
| ~ ca_Cx1xcomp(X236) )
& ( ca_Ax2(esk4_1(X236))
| ~ ca_Cx1xcomp(X236) )
& ( ~ rrx3(X238,X239)
| ~ ca_Ax2(X239)
| ca_Cx1xcomp(X238) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])])])]) ).
cnf(c_0_29,plain,
( ca_Ax2(esk2_1(X1))
| ~ cc1(esk2_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,plain,
esk2_1(i2003_11_14_17_21_01226) = esk1_1(i2003_11_14_17_21_01226),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_12])]) ).
cnf(c_0_31,plain,
( ~ ca_Cx1xcomp(X1)
| ~ ra_Px1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( ra_Px1(X1,esk3_1(X1))
| ~ ca_Cx1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( ca_Cx1xcomp(X1)
| ~ rrx3(X1,X2)
| ~ ca_Ax2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( ca_Ax2(esk1_1(i2003_11_14_17_21_01226))
| ~ cc1(esk1_1(i2003_11_14_17_21_01226)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_12])]) ).
cnf(c_0_35,plain,
( cc1(esk1_1(X1))
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_36,plain,
( ~ ca_Cx1xcomp(X1)
| ~ ca_Cx1(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( ca_Cx1(X1)
| ~ cUnsatisfiable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_38,plain,
( ca_Cx1xcomp(i2003_11_14_17_21_01226)
| ~ ca_Ax2(esk1_1(i2003_11_14_17_21_01226)) ),
inference(spm,[status(thm)],[c_0_33,c_0_15]) ).
cnf(c_0_39,plain,
ca_Ax2(esk1_1(i2003_11_14_17_21_01226)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_12])]) ).
cnf(c_0_40,plain,
( ~ ca_Cx1xcomp(X1)
| ~ cUnsatisfiable(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
ca_Cx1xcomp(i2003_11_14_17_21_01226),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).
cnf(c_0_42,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS107+1 : TPTP v9.2.1. Released v3.1.0.
% 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
% 0.16/0.33 % Computer : n007.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 20:36:39 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------