%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO273+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 : n004.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 04:20:13 PM UTC 2026
% Result : Theorem 15.21s 10.31s
% Output : CNFRefutation 15.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 18 unt; 0 def)
% Number of atoms : 145 ( 96 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 179 ( 70 ~; 77 |; 20 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-8 aty)
% Number of variables : 76 ( 0 sgn 37 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qe(222)',conjecture,
? [X1] :
( vf(vd1069,vd1070) = vf(vd1074,X1)
& rpoint(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(222)') ).
fof('ass(cond(proof(223), 0), 0)',axiom,
! [X4,X5] :
( ( X4 != X5
& ? [X6] :
( X5 = X6
& rpoint(X6) )
& ? [X7] :
( X4 = X7
& rpoint(X7) ) )
=> ! [X8,X9] :
( ( X8 = X9
& X8 != X5
& X8 != X4
& rpoint(X9) )
=> ! [X10] :
( X10 = vskolem1092(X8,X9,X4,X5)
=> ! [X11] :
( X11 = vskolem1095(X10,X8,X9,X4,X5)
=> ! [X12] :
( X12 = vskolem1099(X11,X10,X8,X9,X4,X5)
=> ! [X13] :
( X13 = vskolem1102(X12,X11,X10,X8,X9,X4,X5)
=> vf(X4,X5) = vf(X8,vskolem1103(X13,X12,X11,X10,X8,X9,X4,X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(223), 0), 0)') ).
fof('pred(221, 1)',axiom,
rpoint(vd1075),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(221, 1)') ).
fof('pred(221, 4)',axiom,
vd1074 = vd1075,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(221, 4)') ).
fof('ass(cond(proof(223), 0), 7)',axiom,
! [X4,X5] :
( ( X4 != X5
& ? [X6] :
( X5 = X6
& rpoint(X6) )
& ? [X7] :
( X4 = X7
& rpoint(X7) ) )
=> ! [X8,X9] :
( ( X8 = X9
& X8 != X5
& X8 != X4
& rpoint(X9) )
=> ! [X10] :
( X10 = vskolem1092(X8,X9,X4,X5)
=> ! [X11] :
( X11 = vskolem1095(X10,X8,X9,X4,X5)
=> ! [X12] :
( X12 = vskolem1099(X11,X10,X8,X9,X4,X5)
=> ! [X13] :
( X13 = vskolem1102(X12,X11,X10,X8,X9,X4,X5)
=> rpoint(vskolem1103(X13,X12,X11,X10,X8,X9,X4,X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(223), 0), 7)') ).
fof('qe(s1(plural(220)))',axiom,
? [X3] :
( vd1069 = X3
& rpoint(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(220)))') ).
fof('qe(s2(plural(220)))',axiom,
? [X2] :
( vd1070 = X2
& rpoint(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(220)))') ).
fof('holds(conjunct1(221), 1076, 0)',axiom,
vd1074 != vd1069,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(221), 1076, 0)') ).
fof('holds(conjunct2(221), 1077, 0)',axiom,
vd1074 != vd1070,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(221), 1077, 0)') ).
fof('pred(220, 5)',axiom,
vd1069 != vd1070,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(220, 5)') ).
fof(c_0_10,negated_conjecture,
~ ? [X1] :
( vf(vd1069,vd1070) = vf(vd1074,X1)
& rpoint(X1) ),
inference(assume_negation,[status(cth)],['qe(222)']) ).
fof(c_0_11,plain,
! [X1683,X1684,X1685,X1686,X1687,X1688,X1689,X1690,X1691,X1692] :
( X1683 = X1684
| X1684 != X1685
| ~ rpoint(X1685)
| X1683 != X1686
| ~ rpoint(X1686)
| X1687 != X1688
| X1687 = X1684
| X1687 = X1683
| ~ rpoint(X1688)
| X1689 != vskolem1092(X1687,X1688,X1683,X1684)
| X1690 != vskolem1095(X1689,X1687,X1688,X1683,X1684)
| X1691 != vskolem1099(X1690,X1689,X1687,X1688,X1683,X1684)
| X1692 != vskolem1102(X1691,X1690,X1689,X1687,X1688,X1683,X1684)
| vf(X1683,X1684) = vf(X1687,vskolem1103(X1692,X1691,X1690,X1689,X1687,X1688,X1683,X1684)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(proof(223), 0), 0)'])])]) ).
fof(c_0_12,negated_conjecture,
! [X1680] :
( vf(vd1069,vd1070) != vf(vd1074,X1680)
| ~ rpoint(X1680) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_13,plain,
( X1 = X2
| X5 = X2
| X5 = X1
| vf(X1,X2) = vf(X5,vskolem1103(X10,X9,X8,X7,X5,X6,X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X5 != X6
| ~ rpoint(X6)
| X7 != vskolem1092(X5,X6,X1,X2)
| X8 != vskolem1095(X7,X5,X6,X1,X2)
| X9 != vskolem1099(X8,X7,X5,X6,X1,X2)
| X10 != vskolem1102(X9,X8,X7,X5,X6,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
rpoint(vd1075),
inference(split_conjunct,[status(thm)],['pred(221, 1)']) ).
cnf(c_0_15,plain,
vd1074 = vd1075,
inference(split_conjunct,[status(thm)],['pred(221, 4)']) ).
fof(c_0_16,plain,
! [X1753,X1754,X1755,X1756,X1757,X1758,X1759,X1760,X1761,X1762] :
( X1753 = X1754
| X1754 != X1755
| ~ rpoint(X1755)
| X1753 != X1756
| ~ rpoint(X1756)
| X1757 != X1758
| X1757 = X1754
| X1757 = X1753
| ~ rpoint(X1758)
| X1759 != vskolem1092(X1757,X1758,X1753,X1754)
| X1760 != vskolem1095(X1759,X1757,X1758,X1753,X1754)
| X1761 != vskolem1099(X1760,X1759,X1757,X1758,X1753,X1754)
| X1762 != vskolem1102(X1761,X1760,X1759,X1757,X1758,X1753,X1754)
| rpoint(vskolem1103(X1762,X1761,X1760,X1759,X1757,X1758,X1753,X1754)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(proof(223), 0), 7)'])])]) ).
cnf(c_0_17,negated_conjecture,
( vf(vd1069,vd1070) != vf(vd1074,X1)
| ~ rpoint(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( vf(X1,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1095(vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1099(vskolem1095(vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1095(vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3)) = vf(X2,X3)
| X3 = X1
| X2 = X1
| X2 = X3
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])])])])])])]) ).
cnf(c_0_19,plain,
rpoint(vd1074),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( X1 = X2
| X5 = X2
| X5 = X1
| rpoint(vskolem1103(X10,X9,X8,X7,X5,X6,X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X5 != X6
| ~ rpoint(X6)
| X7 != vskolem1092(X5,X6,X1,X2)
| X8 != vskolem1095(X7,X5,X6,X1,X2)
| X9 != vskolem1099(X8,X7,X5,X6,X1,X2)
| X10 != vskolem1102(X9,X8,X7,X5,X6,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
( vd1069 = esk2_0
& rpoint(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(220)))'])]) ).
fof(c_0_22,plain,
( vd1070 = esk1_0
& rpoint(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(220)))'])]) ).
cnf(c_0_23,negated_conjecture,
( X1 = vd1074
| X2 = vd1074
| X2 = X1
| vf(vd1069,vd1070) != vf(X2,X1)
| ~ rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1095(vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1099(vskolem1095(vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1095(vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_24,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1095(vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1099(vskolem1095(vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1095(vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1))
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_20])])])])])])]) ).
cnf(c_0_25,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
vd1069 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
vd1070 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( X1 = vd1074
| X2 = vd1074
| X1 = X2
| vf(vd1069,vd1070) != vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_19])]) ).
cnf(c_0_30,plain,
rpoint(vd1069),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
rpoint(vd1070),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
vd1074 != vd1069,
inference(split_conjunct,[status(thm)],['holds(conjunct1(221), 1076, 0)']) ).
cnf(c_0_33,plain,
vd1074 != vd1070,
inference(split_conjunct,[status(thm)],['holds(conjunct2(221), 1077, 0)']) ).
cnf(c_0_34,plain,
vd1069 != vd1070,
inference(split_conjunct,[status(thm)],['pred(220, 5)']) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_29]),c_0_30]),c_0_31])]),c_0_32]),c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO273+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n004.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 17:51:17 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 15.21/10.31 % Version : CSE_E---1.7
% 15.21/10.31 % Problem : theBenchmark.p
% 15.21/10.31 % SZS status Theorem for theBenchmark.p
% 15.21/10.31 % SZS output start CNFRefutation
% See solution above
% 15.21/10.35 % Total time : 8.434s
%------------------------------------------------------------------------------