%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO300+1 : TPTP v9.2.1. Released v4.1.0.
% 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 : 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 04:20:17 PM UTC 2026
% Result : Theorem 1.43s 1.68s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 21 unt; 0 def)
% Number of atoms : 101 ( 52 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 105 ( 34 ~; 23 |; 47 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-3 aty)
% Number of variables : 31 ( 0 sgn 10 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))',axiom,
! [X1,X2,X3] :
( ( rR(X2,X1,X3)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) ) )
=> vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof('and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))',axiom,
( ~ ? [X8] :
( ron(vd1187,X8)
& ron(vd1186,X8)
& ron(vd1185,X8)
& rline(X8) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X9] :
( vd1187 = X9
& rpoint(X9) )
& ? [X10] :
( vd1186 = X10
& rpoint(X10) )
& ? [X11] :
( vd1185 = X11
& rpoint(X11) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X12] :
( vd1180 = X12
& rpoint(X12) )
& ? [X13] :
( vd1179 = X13
& rpoint(X13) )
& ? [X14] :
( vd1178 = X14
& rpoint(X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof('holds(331, 1260, 0)',conjecture,
vf(vd1185,vd1201) = vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(331, 1260, 0)') ).
fof('holds(314, 1247, 0)',axiom,
vf(vd1199,vd1201) = vf(vd1185,vd1187),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(314, 1247, 0)') ).
fof('holds(291, 1230, 0)',axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(291, 1230, 0)') ).
fof('qe(s3(plural(271)))',axiom,
? [X7] :
( vd1201 = X7
& rpoint(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof('holds(330, 1259, 0)',axiom,
rR(vd1187,vd1185,vd1201),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(330, 1259, 0)') ).
fof(c_0_7,plain,
! [X1539,X1540,X1541,X1542,X1543,X1544] :
( ~ rR(X1540,X1539,X1541)
| X1541 != X1542
| ~ rpoint(X1542)
| X1540 != X1543
| ~ rpoint(X1543)
| X1539 != X1544
| ~ rpoint(X1544)
| vplus(vf(X1539,X1540),vf(X1540,X1541)) = vf(X1539,X1541) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))'])])]) ).
fof(c_0_8,plain,
! [X1546] :
( ( ~ ron(vd1187,X1546)
| ~ ron(vd1186,X1546)
| ~ ron(vd1185,X1546)
| ~ rline(X1546) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = esk2_0
& rpoint(esk2_0)
& vd1186 = esk3_0
& rpoint(esk3_0)
& vd1185 = esk4_0
& rpoint(esk4_0)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = esk5_0
& rpoint(esk5_0)
& vd1179 = esk6_0
& rpoint(esk6_0)
& vd1178 = esk7_0
& rpoint(esk7_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))'])])])]) ).
fof(c_0_9,negated_conjecture,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(331, 1260, 0)'])]) ).
cnf(c_0_10,plain,
vf(vd1199,vd1201) = vf(vd1185,vd1187),
inference(split_conjunct,[status(thm)],['holds(314, 1247, 0)']) ).
cnf(c_0_11,plain,
vd1199 = vd1185,
inference(split_conjunct,[status(thm)],['holds(291, 1230, 0)']) ).
cnf(c_0_12,plain,
( vplus(vf(X2,X1),vf(X1,X3)) = vf(X2,X3)
| ~ rR(X1,X2,X3)
| X3 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5)
| X2 != X6
| ~ rpoint(X6) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
vd1185 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
vd1187 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_17,plain,
( vd1201 = esk1_0
& rpoint(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s3(plural(271)))'])]) ).
cnf(c_0_18,negated_conjecture,
vf(vd1185,vd1201) != vplus(vf(vd1185,vd1187),vf(vd1187,vd1201)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
vf(vd1185,vd1187) = vf(vd1185,vd1201),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_20,plain,
( vplus(vf(X1,X2),vf(X2,X3)) = vf(X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rR(X2,X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_12])])]) ).
cnf(c_0_21,plain,
rpoint(vd1185),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_22,plain,
rpoint(vd1187),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
vd1201 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,negated_conjecture,
vplus(vf(vd1185,vd1201),vf(vd1187,vd1201)) != vf(vd1185,vd1201),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,plain,
( vplus(vf(vd1185,vd1201),vf(vd1187,X1)) = vf(vd1185,X1)
| ~ rpoint(X1)
| ~ rR(vd1187,vd1185,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_19]),c_0_21]),c_0_22])]) ).
cnf(c_0_27,plain,
rpoint(vd1201),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
rR(vd1187,vd1185,vd1201),
inference(split_conjunct,[status(thm)],['holds(330, 1259, 0)']) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GEO300+1 : TPTP v9.2.1. Released v4.1.0.
% 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
% 0.08/0.24 % Computer : n012.cluster.edu
% 0.08/0.24 % Model : x86_64 x86_64
% 0.08/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.24 % Memory : 8042.1875MB
% 0.08/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.24 % CPULimit : 300
% 0.08/0.24 % WCLimit : 300
% 0.08/0.24 % DateTime : Mon May 4 17:52:46 EDT 2026
% 0.08/0.25 % CPUTime :
% 0.08/0.25 % start to proof: theBenchmark
% 1.43/1.68 % Version : CSE_E---1.7
% 1.43/1.68 % Problem : theBenchmark.p
% 1.43/1.68 % SZS status Theorem for theBenchmark.p
% 1.43/1.68 % SZS output start CNFRefutation
% See solution above
% 1.43/1.69 % Total time : 1.363s
%------------------------------------------------------------------------------