%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO494+1 : TPTP v9.2.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n024.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 04:21:24 PM UTC 2026
% Result : Theorem 13.34s 8.58s
% Output : CNFRefutation 13.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 19 unt; 0 def)
% Number of atoms : 129 ( 9 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 141 ( 64 ~; 61 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-4 aty)
% Number of variables : 186 ( 11 sgn 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d_Defn5_4,axiom,
! [X12,X15,X14,X17,X2] :
( ( ~ le(X12,X15,X14,X17)
| s_t(X14,insert(X12,X15,X14,X17),X17) )
& ( ~ le(X12,X15,X14,X17)
| s_e(X12,X15,X14,insert(X12,X15,X14,X17)) )
& ( ~ s_t(X14,X2,X17)
| ~ s_e(X12,X15,X14,X2)
| le(X12,X15,X14,X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn5_4) ).
fof(aSatz2_2,axiom,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_2) ).
fof(aSatz3_6b,axiom,
! [X12,X15,X14,X17] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X12,X14,X17)
| s_t(X12,X15,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_6b) ).
fof(d_insert,axiom,
! [X12,X15,X20,X22] : insert(X12,X15,X20,X22) = ext(ext(X22,X20,alpha,gamma),X20,X12,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_insert) ).
fof(aSatz5_8,conjecture,
! [X12,X15,X14,X17,X18,X19] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X18,X19)
| le(X12,X15,X18,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_8) ).
fof(aA4,axiom,
! [X1,X2,X7,X4] :
( s_t(X1,X2,ext(X1,X2,X7,X4))
& s_e(X2,ext(X1,X2,X7,X4),X7,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA4) ).
fof(aSatz5_5a,axiom,
! [X12,X15,X14,X17] :
( ( ~ le(X12,X15,X14,X17)
| s_t(X12,X15,ins(X14,X17,X12,X15)) )
& ( ~ le(X12,X15,X14,X17)
| s_e(X12,ins(X14,X17,X12,X15),X14,X17) )
& ( ~ le(X12,X15,X14,X17)
| ins(X14,X17,X12,X15) = ext(X12,X15,insert(X12,X15,X14,X17),X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_5a) ).
fof(aSatz5_6,axiom,
! [X12,X15,X14,X17,X20,X21,X22,X26] :
( ~ le(X12,X15,X14,X17)
| ~ s_e(X12,X15,X20,X21)
| ~ s_e(X14,X17,X22,X26)
| le(X20,X21,X22,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_6) ).
fof(aSatz2_1,axiom,
! [X12,X15] : s_e(X12,X15,X12,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_1) ).
fof(c_0_9,plain,
! [X12,X15,X14,X17,X2] :
( ( ~ le(X12,X15,X14,X17)
| s_t(X14,insert(X12,X15,X14,X17),X17) )
& ( ~ le(X12,X15,X14,X17)
| s_e(X12,X15,X14,insert(X12,X15,X14,X17)) )
& ( ~ s_t(X14,X2,X17)
| ~ s_e(X12,X15,X14,X2)
| le(X12,X15,X14,X17) ) ),
inference(fof_simplification,[status(thm)],[d_Defn5_4]) ).
fof(c_0_10,plain,
! [X12,X15,X14,X17] :
( ~ s_e(X12,X15,X14,X17)
| s_e(X14,X17,X12,X15) ),
inference(fof_simplification,[status(thm)],[aSatz2_2]) ).
fof(c_0_11,plain,
! [X12,X15,X14,X17] :
( ~ s_t(X12,X15,X14)
| ~ s_t(X12,X14,X17)
| s_t(X12,X15,X17) ),
inference(fof_simplification,[status(thm)],[aSatz3_6b]) ).
fof(c_0_12,plain,
! [X580,X581,X582,X583,X584] :
( ( ~ le(X580,X581,X582,X583)
| s_t(X582,insert(X580,X581,X582,X583),X583) )
& ( ~ le(X580,X581,X582,X583)
| s_e(X580,X581,X582,insert(X580,X581,X582,X583)) )
& ( ~ s_t(X582,X584,X583)
| ~ s_e(X580,X581,X582,X584)
| le(X580,X581,X582,X583) ) ),
inference(variable_rename,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X543,X544,X545,X546] : insert(X543,X544,X545,X546) = ext(ext(X546,X545,alpha,gamma),X545,X543,X544),
inference(variable_rename,[status(thm)],[d_insert]) ).
fof(c_0_14,negated_conjecture,
~ ! [X12,X15,X14,X17,X18,X19] :
( ~ le(X12,X15,X14,X17)
| ~ le(X14,X17,X18,X19)
| le(X12,X15,X18,X19) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[aSatz5_8])]) ).
fof(c_0_15,plain,
! [X342,X343,X344,X345] :
( ~ s_e(X342,X343,X344,X345)
| s_e(X344,X345,X342,X343) ),
inference(variable_rename,[status(thm)],[c_0_10]) ).
fof(c_0_16,plain,
! [X321,X322,X323,X324] :
( s_t(X321,X322,ext(X321,X322,X323,X324))
& s_e(X322,ext(X321,X322,X323,X324),X323,X324) ),
inference(variable_rename,[status(thm)],[aA4]) ).
fof(c_0_17,plain,
! [X412,X413,X414,X415] :
( ~ s_t(X412,X413,X414)
| ~ s_t(X412,X414,X415)
| s_t(X412,X413,X415) ),
inference(variable_rename,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( s_t(X3,insert(X1,X2,X3,X4),X4)
| ~ le(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
insert(X1,X2,X3,X4) = ext(ext(X4,X3,alpha,gamma),X3,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,negated_conjecture,
( le(esk1_0,esk2_0,esk3_0,esk4_0)
& le(esk3_0,esk4_0,esk5_0,esk6_0)
& ~ le(esk1_0,esk2_0,esk5_0,esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_21,plain,
! [X12,X15,X14,X17] :
( ( ~ le(X12,X15,X14,X17)
| s_t(X12,X15,ins(X14,X17,X12,X15)) )
& ( ~ le(X12,X15,X14,X17)
| s_e(X12,ins(X14,X17,X12,X15),X14,X17) )
& ( ~ le(X12,X15,X14,X17)
| ins(X14,X17,X12,X15) = ext(X12,X15,insert(X12,X15,X14,X17),X17) ) ),
inference(fof_simplification,[status(thm)],[aSatz5_5a]) ).
cnf(c_0_22,plain,
( s_e(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
s_e(X1,ext(X2,X1,X3,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( s_t(X1,X2,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
s_t(X1,X2,ext(X1,X2,X3,X4)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X1,X2),X4)
| ~ le(X1,X2,X3,X4) ),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,negated_conjecture,
le(esk1_0,esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_28,plain,
! [X518,X519,X520,X521] :
( ( ~ le(X518,X519,X520,X521)
| s_t(X518,X519,ins(X520,X521,X518,X519)) )
& ( ~ le(X518,X519,X520,X521)
| s_e(X518,ins(X520,X521,X518,X519),X520,X521) )
& ( ~ le(X518,X519,X520,X521)
| ins(X520,X521,X518,X519) = ext(X518,X519,insert(X518,X519,X520,X521),X521) ) ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
fof(c_0_29,plain,
! [X12,X15,X14,X17,X20,X21,X22,X26] :
( ~ le(X12,X15,X14,X17)
| ~ s_e(X12,X15,X20,X21)
| ~ s_e(X14,X17,X22,X26)
| le(X20,X21,X22,X26) ),
inference(fof_simplification,[status(thm)],[aSatz5_6]) ).
cnf(c_0_30,plain,
( le(X4,X5,X1,X3)
| ~ s_t(X1,X2,X3)
| ~ s_e(X4,X5,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,plain,
s_e(X1,X2,X3,ext(X4,X3,X1,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_32,plain,
( s_t(X1,X2,ext(X1,X3,X4,X5))
| ~ s_t(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,negated_conjecture,
s_t(esk3_0,ext(ext(esk4_0,esk3_0,alpha,gamma),esk3_0,esk1_0,esk2_0),esk4_0),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
( ins(X3,X4,X1,X2) = ext(X1,X2,insert(X1,X2,X3,X4),X4)
| ~ le(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_35,plain,
! [X527,X528,X529,X530,X531,X532,X533,X534] :
( ~ le(X527,X528,X529,X530)
| ~ s_e(X527,X528,X531,X532)
| ~ s_e(X529,X530,X533,X534)
| le(X531,X532,X533,X534) ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
( s_e(X1,ins(X3,X4,X1,X2),X3,X4)
| ~ le(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
le(esk3_0,esk4_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_38,plain,
( le(X1,X2,X3,X4)
| ~ s_t(X3,ext(X5,X3,X1,X2),X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
s_t(esk3_0,ext(ext(esk4_0,esk3_0,alpha,gamma),esk3_0,esk1_0,esk2_0),ext(esk3_0,esk4_0,X1,X2)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
( ins(X3,X4,X1,X2) = ext(X1,X2,ext(ext(X4,X3,alpha,gamma),X3,X1,X2),X4)
| ~ le(X1,X2,X3,X4) ),
inference(rw,[status(thm)],[c_0_34,c_0_19]) ).
cnf(c_0_41,plain,
( le(X5,X6,X7,X8)
| ~ le(X1,X2,X3,X4)
| ~ s_e(X1,X2,X5,X6)
| ~ s_e(X3,X4,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
s_e(esk3_0,ins(esk5_0,esk6_0,esk3_0,esk4_0),esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
le(esk1_0,esk2_0,esk3_0,ext(esk3_0,esk4_0,X1,X2)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
ext(esk3_0,esk4_0,ext(ext(esk6_0,esk5_0,alpha,gamma),esk5_0,esk3_0,esk4_0),esk6_0) = ins(esk5_0,esk6_0,esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_45,negated_conjecture,
( le(X1,X2,esk5_0,esk6_0)
| ~ le(X3,X4,esk3_0,ins(esk5_0,esk6_0,esk3_0,esk4_0))
| ~ s_e(X3,X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
le(esk1_0,esk2_0,esk3_0,ins(esk5_0,esk6_0,esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_47,plain,
! [X340,X341] : s_e(X340,X341,X340,X341),
inference(variable_rename,[status(thm)],[aSatz2_1]) ).
cnf(c_0_48,negated_conjecture,
( le(X1,X2,esk5_0,esk6_0)
| ~ s_e(esk1_0,esk2_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,plain,
s_e(X1,X2,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_50,negated_conjecture,
~ le(esk1_0,esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GEO494+1 : TPTP v9.2.1. Released v7.0.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n024.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 13:00:12 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 13.34/8.58 % Version : CSE_E---1.7
% 13.34/8.58 % Problem : theBenchmark.p
% 13.34/8.58 % SZS status Theorem for theBenchmark.p
% 13.34/8.58 % SZS output start CNFRefutation
% See solution above
% 13.44/8.64 % Total time : 6.370s
%------------------------------------------------------------------------------