TSTP Solution File: GEO497+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 : Wed Aug 30 23:11:30 EDT 2023
% Result : Theorem 123.44s 17.28s
% Output : CNFRefutation 123.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 23
% Syntax : Number of formulae : 138 ( 34 unt; 0 def)
% Number of atoms : 393 ( 140 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 464 ( 209 ~; 213 |; 41 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 367 ( 17 sgn; 217 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA2) ).
fof(f4,axiom,
! [X0,X1,X6,X3] :
( s_e(X1,ext(X0,X1,X6,X3),X6,X3)
& s_t(X0,X1,ext(X0,X1,X6,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA4) ).
fof(f14,axiom,
! [X11,X14] : s_e(X11,X11,X14,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_8) ).
fof(f17,axiom,
! [X14,X13,X11] :
( X13 = X14
| ~ s_e(X14,X13,X11,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_13) ).
fof(f21,axiom,
! [X11,X14,X13] :
( s_t(X13,X14,X11)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_2) ).
fof(f23,axiom,
! [X11,X14,X13] :
( X11 = X14
| ~ s_t(X14,X11,X13)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_4) ).
fof(f25,axiom,
! [X11,X14,X13,X16] :
( s_t(X14,X13,X16)
| ~ s_t(X11,X13,X16)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_6a) ).
fof(f34,axiom,
! [X14,X11] : ext(X11,X14,alpha,gamma) != X14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_14b) ).
fof(f44,axiom,
! [X11,X14,X13] :
( s_col(X11,X13,X14)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11e) ).
fof(f54,axiom,
! [X11,X14,X13,X16] :
( s_t(X14,X16,X13)
| s_t(X14,X13,X16)
| ~ s_t(X11,X14,X16)
| ~ s_t(X11,X14,X13)
| X11 = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_2) ).
fof(f73,axiom,
! [X11,X12,X14] :
( s_t(X11,X12,X14)
| ~ s_col(X11,X12,X14)
| sameside(X11,X12,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_4b) ).
fof(f74,axiom,
! [X11,X12] :
( sameside(X11,X12,X11)
| X11 = X12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_5) ).
fof(f77,conjecture,
! [X26,X11,X14,X13] :
( ( s_e(X11,insert(X14,X13,X11,X26),X14,X13)
| X13 = X14
| X11 = X26 )
& ( sameside(insert(X14,X13,X11,X26),X11,X26)
| X13 = X14
| X11 = X26 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_11a) ).
fof(f78,negated_conjecture,
~ ! [X26,X11,X14,X13] :
( ( s_e(X11,insert(X14,X13,X11,X26),X14,X13)
| X13 = X14
| X11 = X26 )
& ( sameside(insert(X14,X13,X11,X26),X11,X26)
| X13 = X14
| X11 = X26 ) ),
inference(negated_conjecture,[],[f77]) ).
fof(f79,axiom,
! [X11,X14,X19,X21] : insert(X11,X14,X19,X21) = ext(ext(X21,X19,alpha,gamma),X19,X11,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_insert) ).
fof(f83,axiom,
! [X11,X14,X13] :
( ( ~ s_t(X13,X11,X14)
| s_col(X11,X14,X13) )
& ( ~ s_t(X14,X13,X11)
| s_col(X11,X14,X13) )
& ( ~ s_t(X11,X14,X13)
| s_col(X11,X14,X13) )
& ( s_t(X13,X11,X14)
| s_t(X14,X13,X11)
| s_t(X11,X14,X13)
| ~ s_col(X11,X14,X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_10) ).
fof(f85,axiom,
! [X11,X14,X13,X16,X1] :
( ( le(X11,X14,X13,X16)
| ~ s_e(X11,X14,X13,X1)
| ~ s_t(X13,X1,X16) )
& ( s_e(X11,X14,X13,insert(X11,X14,X13,X16))
| ~ le(X11,X14,X13,X16) )
& ( s_t(X13,insert(X11,X14,X13,X16),X16)
| ~ le(X11,X14,X13,X16) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn5_4) ).
fof(f86,axiom,
! [X11,X12,X14] :
( ( sameside(X11,X12,X14)
| X12 = X14
| X11 = X12
| ~ s_t(X12,X14,X11) )
& ( sameside(X11,X12,X14)
| xb = X12
| X11 = X12
| ~ s_t(X12,X11,X14) )
& ( s_t(X12,X14,X11)
| s_t(X12,X11,X14)
| ~ sameside(X11,X12,X14) )
& ( X12 != X14
| ~ sameside(X11,X12,X14) )
& ( X11 != X12
| ~ sameside(X11,X12,X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn6_1) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( s_e(X1,ext(X0,X1,X2,X3),X2,X3)
& s_t(X0,X1,ext(X0,X1,X2,X3)) ),
inference(rectify,[],[f4]) ).
fof(f95,plain,
! [X0,X1] : s_e(X0,X0,X1,X1),
inference(rectify,[],[f14]) ).
fof(f98,plain,
! [X0,X1,X2] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ),
inference(rectify,[],[f17]) ).
fof(f102,plain,
! [X0,X1,X2] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f21]) ).
fof(f104,plain,
! [X0,X1,X2] :
( X0 = X1
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f23]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( s_t(X1,X2,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f25]) ).
fof(f112,plain,
! [X0,X1] : ext(X1,X0,alpha,gamma) != X0,
inference(rectify,[],[f34]) ).
fof(f122,plain,
! [X0,X1,X2] :
( s_col(X0,X2,X1)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f44]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( s_t(X1,X3,X2)
| s_t(X1,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(rectify,[],[f54]) ).
fof(f151,plain,
! [X0,X1,X2] :
( s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(rectify,[],[f73]) ).
fof(f152,plain,
! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 ),
inference(rectify,[],[f74]) ).
fof(f155,plain,
~ ! [X0,X1,X2,X3] :
( ( s_e(X1,insert(X2,X3,X1,X0),X2,X3)
| X2 = X3
| X0 = X1 )
& ( sameside(insert(X2,X3,X1,X0),X1,X0)
| X2 = X3
| X0 = X1 ) ),
inference(rectify,[],[f78]) ).
fof(f156,plain,
! [X0,X1,X2,X3] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
inference(rectify,[],[f79]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ( ~ s_t(X2,X0,X1)
| s_col(X0,X1,X2) )
& ( ~ s_t(X1,X2,X0)
| s_col(X0,X1,X2) )
& ( ~ s_t(X0,X1,X2)
| s_col(X0,X1,X2) )
& ( s_t(X2,X0,X1)
| s_t(X1,X2,X0)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ) ),
inference(rectify,[],[f83]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4] :
( ( le(X0,X1,X2,X3)
| ~ s_e(X0,X1,X2,X4)
| ~ s_t(X2,X4,X3) )
& ( s_e(X0,X1,X2,insert(X0,X1,X2,X3))
| ~ le(X0,X1,X2,X3) )
& ( s_t(X2,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) ) ),
inference(rectify,[],[f85]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ( sameside(X0,X1,X2)
| X1 = X2
| X0 = X1
| ~ s_t(X1,X2,X0) )
& ( sameside(X0,X1,X2)
| xb = X1
| X0 = X1
| ~ s_t(X1,X0,X2) )
& ( s_t(X1,X2,X0)
| s_t(X1,X0,X2)
| ~ sameside(X0,X1,X2) )
& ( X1 != X2
| ~ sameside(X0,X1,X2) )
& ( X0 != X1
| ~ sameside(X0,X1,X2) ) ),
inference(rectify,[],[f86]) ).
fof(f164,plain,
? [X0,X1,X2,X3] :
( ( ~ s_e(X1,insert(X2,X3,X1,X0),X2,X3)
& X2 != X3
& X0 != X1 )
| ( ~ sameside(insert(X2,X3,X1,X0),X1,X0)
& X2 != X3
& X0 != X1 ) ),
inference(ennf_transformation,[],[f155]) ).
fof(f165,plain,
! [X0,X1,X3,X2] :
( ( ~ sameside(insert(X2,X3,X1,X0),X1,X0)
& X2 != X3
& X0 != X1 )
| ~ sP0(X0,X1,X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f166,plain,
? [X0,X1,X2,X3] :
( ( ~ s_e(X1,insert(X2,X3,X1,X0),X2,X3)
& X2 != X3
& X0 != X1 )
| sP0(X0,X1,X3,X2) ),
inference(definition_folding,[],[f164,f165]) ).
fof(f167,plain,
! [X0,X1,X3,X2] :
( ( ~ sameside(insert(X2,X3,X1,X0),X1,X0)
& X2 != X3
& X0 != X1 )
| ~ sP0(X0,X1,X3,X2) ),
inference(nnf_transformation,[],[f165]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( ( ~ sameside(insert(X3,X2,X1,X0),X1,X0)
& X2 != X3
& X0 != X1 )
| ~ sP0(X0,X1,X2,X3) ),
inference(rectify,[],[f167]) ).
fof(f169,plain,
( ? [X0,X1,X2,X3] :
( ( ~ s_e(X1,insert(X2,X3,X1,X0),X2,X3)
& X2 != X3
& X0 != X1 )
| sP0(X0,X1,X3,X2) )
=> ( ( ~ s_e(sK2,insert(sK3,sK4,sK2,sK1),sK3,sK4)
& sK3 != sK4
& sK1 != sK2 )
| sP0(sK1,sK2,sK4,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
( ( ~ s_e(sK2,insert(sK3,sK4,sK2,sK1),sK3,sK4)
& sK3 != sK4
& sK1 != sK2 )
| sP0(sK1,sK2,sK4,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f166,f169]) ).
fof(f172,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f174,plain,
! [X2,X3,X0,X1] : s_t(X0,X1,ext(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f87]) ).
fof(f175,plain,
! [X2,X3,X0,X1] : s_e(X1,ext(X0,X1,X2,X3),X2,X3),
inference(cnf_transformation,[],[f87]) ).
fof(f188,plain,
! [X0,X1] : s_e(X0,X0,X1,X1),
inference(cnf_transformation,[],[f95]) ).
fof(f191,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f195,plain,
! [X2,X0,X1] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f197,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( s_t(X1,X2,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f208,plain,
! [X0,X1] : ext(X1,X0,alpha,gamma) != X0,
inference(cnf_transformation,[],[f112]) ).
fof(f220,plain,
! [X2,X0,X1] :
( s_col(X0,X2,X1)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f230,plain,
! [X2,X3,X0,X1] :
( s_t(X1,X3,X2)
| s_t(X1,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f132]) ).
fof(f256,plain,
! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f151]) ).
fof(f257,plain,
! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f260,plain,
! [X2,X3,X0,X1] :
( X0 != X1
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f168]) ).
fof(f261,plain,
! [X2,X3,X0,X1] :
( X2 != X3
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f168]) ).
fof(f262,plain,
! [X2,X3,X0,X1] :
( ~ sameside(insert(X3,X2,X1,X0),X1,X0)
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f168]) ).
fof(f265,plain,
( ~ s_e(sK2,insert(sK3,sK4,sK2,sK1),sK3,sK4)
| sP0(sK1,sK2,sK4,sK3) ),
inference(cnf_transformation,[],[f170]) ).
fof(f266,plain,
! [X2,X3,X0,X1] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
inference(cnf_transformation,[],[f156]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ s_t(X1,X2,X0)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ s_t(X2,X0,X1)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( s_t(X2,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f162]) ).
fof(f298,plain,
! [X2,X0,X1] :
( X1 != X2
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f300,plain,
! [X2,X0,X1] :
( sameside(X0,X1,X2)
| xb = X1
| X0 = X1
| ~ s_t(X1,X0,X2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( ~ sameside(ext(ext(X0,X1,alpha,gamma),X1,X3,X2),X1,X0)
| ~ sP0(X0,X1,X2,X3) ),
inference(definition_unfolding,[],[f262,f266]) ).
fof(f306,plain,
( ~ s_e(sK2,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),sK3,sK4)
| sP0(sK1,sK2,sK4,sK3) ),
inference(definition_unfolding,[],[f265,f266]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X1,X2,X3) ),
inference(definition_unfolding,[],[f294,f266]) ).
fof(f311,plain,
! [X3,X0,X1] : ~ sP0(X0,X1,X3,X3),
inference(equality_resolution,[],[f261]) ).
fof(f312,plain,
! [X2,X3,X1] : ~ sP0(X1,X1,X2,X3),
inference(equality_resolution,[],[f260]) ).
fof(f313,plain,
! [X2,X0] : ~ sameside(X0,X2,X2),
inference(equality_resolution,[],[f298]) ).
cnf(c_50,plain,
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X4,X5)
| s_e(X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_52,plain,
s_e(X0,ext(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f175]) ).
cnf(c_53,plain,
s_t(X0,X1,ext(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f174]) ).
cnf(c_66,plain,
s_e(X0,X0,X1,X1),
inference(cnf_transformation,[],[f188]) ).
cnf(c_69,plain,
( ~ s_e(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_73,plain,
( ~ s_t(X0,X1,X2)
| s_t(X2,X1,X0) ),
inference(cnf_transformation,[],[f195]) ).
cnf(c_75,plain,
( ~ s_t(X0,X1,X2)
| ~ s_t(X1,X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f197]) ).
cnf(c_77,plain,
( ~ s_t(X0,X1,X2)
| ~ s_t(X0,X2,X3)
| s_t(X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_86,plain,
ext(X0,X1,alpha,gamma) != X1,
inference(cnf_transformation,[],[f208]) ).
cnf(c_98,plain,
( ~ s_col(X0,X1,X2)
| s_col(X0,X2,X1) ),
inference(cnf_transformation,[],[f220]) ).
cnf(c_108,plain,
( ~ s_t(X0,X1,X2)
| ~ s_t(X0,X1,X3)
| X0 = X1
| s_t(X1,X2,X3)
| s_t(X1,X3,X2) ),
inference(cnf_transformation,[],[f230]) ).
cnf(c_134,plain,
( ~ s_col(X0,X1,X2)
| s_t(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f256]) ).
cnf(c_135,plain,
( X0 = X1
| sameside(X0,X1,X0) ),
inference(cnf_transformation,[],[f257]) ).
cnf(c_138,plain,
( ~ sameside(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0)
| ~ sP0(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f305]) ).
cnf(c_139,plain,
~ sP0(X0,X1,X2,X2),
inference(cnf_transformation,[],[f311]) ).
cnf(c_140,plain,
~ sP0(X0,X0,X1,X2),
inference(cnf_transformation,[],[f312]) ).
cnf(c_141,negated_conjecture,
( ~ s_e(sK2,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),sK3,sK4)
| sP0(sK1,sK2,sK4,sK3) ),
inference(cnf_transformation,[],[f306]) ).
cnf(c_162,plain,
( ~ s_t(X0,X1,X2)
| s_col(X1,X2,X0) ),
inference(cnf_transformation,[],[f288]) ).
cnf(c_163,plain,
( ~ s_t(X0,X1,X2)
| s_col(X2,X0,X1) ),
inference(cnf_transformation,[],[f287]) ).
cnf(c_173,plain,
( ~ le(X0,X1,X2,X3)
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3) ),
inference(cnf_transformation,[],[f308]) ).
cnf(c_175,plain,
( ~ s_t(X0,X1,X2)
| X0 = X1
| X0 = xb
| sameside(X1,X0,X2) ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_177,plain,
~ sameside(X0,X1,X1),
inference(cnf_transformation,[],[f313]) ).
cnf(c_253,plain,
sP0(sK1,sK2,sK4,sK3),
inference(backward_subsumption_resolution,[status(thm)],[c_141,c_52]) ).
cnf(c_1453,plain,
( X0 != sK1
| X1 != sK2
| X2 != sK3
| X3 != sK4
| ~ sameside(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_138,c_253]) ).
cnf(c_1454,plain,
~ sameside(ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),sK2,sK1),
inference(unflattening,[status(thm)],[c_1453]) ).
cnf(c_1458,plain,
( X0 != sK1
| X1 != sK2
| X2 != sK3
| X2 != sK4 ),
inference(resolution_lifted,[status(thm)],[c_139,c_253]) ).
cnf(c_1459,plain,
sK3 != sK4,
inference(unflattening,[status(thm)],[c_1458]) ).
cnf(c_1463,plain,
( X0 != sK2
| X0 != sK1
| X1 != sK4
| X2 != sK3 ),
inference(resolution_lifted,[status(thm)],[c_140,c_253]) ).
cnf(c_1464,plain,
sK2 != sK1,
inference(unflattening,[status(thm)],[c_1463]) ).
cnf(c_3122,plain,
X0 = X0,
theory(equality) ).
cnf(c_3124,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_3125,plain,
( X0 != X1
| X2 != X3
| ~ s_e(X4,X1,X5,X3)
| s_e(X4,X0,X5,X2) ),
theory(equality) ).
cnf(c_3126,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| X6 != X7
| ext(X0,X2,X4,X6) = ext(X1,X3,X5,X7) ),
theory(equality) ).
cnf(c_4374,plain,
( sK3 != X0
| sK4 != X0
| sK3 = sK4 ),
inference(instantiation,[status(thm)],[c_3124]) ).
cnf(c_5124,plain,
( sK4 = X0
| sameside(sK4,X0,sK4) ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_5137,plain,
( X0 != X1
| sK4 != X1
| sK4 = X0 ),
inference(instantiation,[status(thm)],[c_3124]) ).
cnf(c_5861,plain,
s_t(ext(X0,X1,X2,X3),X1,X0),
inference(resolution,[status(thm)],[c_73,c_53]) ).
cnf(c_6552,plain,
( ~ s_t(X0,X1,X2)
| s_col(X1,X0,X2) ),
inference(resolution,[status(thm)],[c_162,c_98]) ).
cnf(c_7105,plain,
( ~ s_e(sK3,X0,X1,X1)
| sK3 = X0 ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_8420,plain,
( ~ s_e(X0,X0,X1,X2)
| s_e(X1,X2,X3,X3) ),
inference(resolution,[status(thm)],[c_50,c_66]) ).
cnf(c_8859,plain,
( ~ s_col(ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),sK2,sK1)
| s_t(ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),sK2,sK1) ),
inference(resolution,[status(thm)],[c_134,c_1454]) ).
cnf(c_9004,plain,
( ~ s_t(sK2,sK1,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4))
| s_t(ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),sK2,sK1) ),
inference(resolution,[status(thm)],[c_8859,c_163]) ).
cnf(c_9085,plain,
( ~ s_t(sK2,sK1,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4))
| s_t(sK1,sK2,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4)) ),
inference(resolution,[status(thm)],[c_9004,c_73]) ).
cnf(c_9089,plain,
( ~ s_t(ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),X0,sK2)
| ~ s_t(sK2,sK1,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4))
| s_t(X0,sK2,sK1) ),
inference(resolution,[status(thm)],[c_9004,c_77]) ).
cnf(c_9187,plain,
( ~ s_t(sK2,sK1,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4))
| sK2 = sK1 ),
inference(resolution,[status(thm)],[c_9085,c_75]) ).
cnf(c_9229,plain,
~ s_t(sK2,sK1,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4)),
inference(global_subsumption_just,[status(thm)],[c_9089,c_1464,c_9187]) ).
cnf(c_11177,plain,
( ~ s_t(sK2,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),sK1)
| sK2 = ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4)
| sK2 = xb ),
inference(resolution,[status(thm)],[c_175,c_1454]) ).
cnf(c_13736,plain,
( ~ le(sK3,sK4,sK2,sK1)
| sK2 = ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4)
| sK2 = xb ),
inference(resolution,[status(thm)],[c_173,c_11177]) ).
cnf(c_14809,plain,
( sK4 = sK4
| sameside(sK4,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_5124]) ).
cnf(c_14810,plain,
~ sameside(sK4,sK4,sK4),
inference(instantiation,[status(thm)],[c_177]) ).
cnf(c_15020,plain,
( X0 != ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4)
| ~ le(sK3,sK4,sK2,sK1)
| sK2 = X0
| sK2 = xb ),
inference(resolution,[status(thm)],[c_13736,c_3124]) ).
cnf(c_16311,plain,
( X0 != ext(X1,X2,X3,X4)
| X5 != X4
| s_e(X2,X0,X3,X5) ),
inference(resolution,[status(thm)],[c_3125,c_52]) ).
cnf(c_16467,plain,
( X0 != sK4
| sK4 != sK4
| sK4 = X0 ),
inference(instantiation,[status(thm)],[c_5137]) ).
cnf(c_17015,plain,
( ~ s_t(X0,X1,X2)
| X0 = X1
| s_t(X1,ext(X0,X1,X3,X4),X2)
| s_t(X1,X2,ext(X0,X1,X3,X4)) ),
inference(resolution,[status(thm)],[c_108,c_53]) ).
cnf(c_36033,plain,
( X0 != ext(sK1,sK2,alpha,gamma)
| X1 != sK4
| X2 != sK3
| X3 != sK2
| ~ le(sK3,sK4,sK2,sK1)
| sK2 = ext(X0,X3,X2,X1)
| sK2 = xb ),
inference(resolution,[status(thm)],[c_3126,c_15020]) ).
cnf(c_37127,plain,
( X0 != sK4
| X1 != sK3
| X2 != sK2
| ~ le(sK3,sK4,sK2,sK1)
| sK2 = ext(ext(sK1,sK2,alpha,gamma),X2,X1,X0)
| sK2 = xb ),
inference(resolution,[status(thm)],[c_36033,c_3122]) ).
cnf(c_37758,plain,
ext(sK1,sK2,alpha,gamma) != sK2,
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_42916,plain,
( ~ s_t(sK2,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),sK1)
| s_t(ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),sK2,sK1) ),
inference(resolution,[status(thm)],[c_6552,c_8859]) ).
cnf(c_42928,plain,
( ~ s_t(sK2,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),sK1)
| sK2 = ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4) ),
inference(resolution,[status(thm)],[c_42916,c_75]) ).
cnf(c_175327,plain,
( ~ s_t(ext(sK1,sK2,alpha,gamma),sK2,sK1)
| ext(sK1,sK2,alpha,gamma) = sK2
| s_t(sK2,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),sK1) ),
inference(resolution,[status(thm)],[c_17015,c_9229]) ).
cnf(c_175376,plain,
( ~ s_t(ext(sK1,sK2,alpha,gamma),sK2,sK1)
| ext(sK1,sK2,alpha,gamma) = sK2
| sK2 = ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4)
| s_t(sK2,sK1,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4)) ),
inference(resolution,[status(thm)],[c_17015,c_42928]) ).
cnf(c_177379,plain,
( ~ s_t(ext(sK1,sK2,alpha,gamma),sK2,sK1)
| s_t(sK2,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),sK1) ),
inference(global_subsumption_just,[status(thm)],[c_175327,c_37758,c_175327]) ).
cnf(c_177383,plain,
s_t(sK2,ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_177379,c_5861]) ).
cnf(c_177385,plain,
sK2 = ext(ext(sK1,sK2,alpha,gamma),sK2,sK3,sK4),
inference(global_subsumption_just,[status(thm)],[c_175376,c_42928,c_177383]) ).
cnf(c_177400,plain,
( X0 != sK4
| s_e(sK2,sK2,sK3,X0) ),
inference(resolution,[status(thm)],[c_177385,c_16311]) ).
cnf(c_209660,plain,
( X0 != sK4
| s_e(sK3,X0,X1,X1) ),
inference(resolution,[status(thm)],[c_177400,c_8420]) ).
cnf(c_271684,plain,
X0 != sK4,
inference(global_subsumption_just,[status(thm)],[c_37127,c_1459,c_4374,c_7105,c_14809,c_14810,c_16467,c_209660]) ).
cnf(c_271693,plain,
$false,
inference(resolution,[status(thm)],[c_271684,c_3122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO497+1 : TPTP v8.1.2. Released v7.0.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 22:18:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 123.44/17.28 % SZS status Started for theBenchmark.p
% 123.44/17.28 % SZS status Theorem for theBenchmark.p
% 123.44/17.28
% 123.44/17.28 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 123.44/17.28
% 123.44/17.28 ------ iProver source info
% 123.44/17.28
% 123.44/17.28 git: date: 2023-05-31 18:12:56 +0000
% 123.44/17.28 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 123.44/17.28 git: non_committed_changes: false
% 123.44/17.28 git: last_make_outside_of_git: false
% 123.44/17.28
% 123.44/17.28 ------ Parsing...
% 123.44/17.28 ------ Clausification by vclausify_rel & Parsing by iProver...
% 123.44/17.28
% 123.44/17.28 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 123.44/17.28
% 123.44/17.28 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 123.44/17.28
% 123.44/17.28 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 123.44/17.28 ------ Proving...
% 123.44/17.28 ------ Problem Properties
% 123.44/17.28
% 123.44/17.28
% 123.44/17.28 clauses 103
% 123.44/17.28 conjectures 0
% 123.44/17.28 EPR 83
% 123.44/17.28 Horn 84
% 123.44/17.28 unary 23
% 123.44/17.28 binary 33
% 123.44/17.28 lits 275
% 123.44/17.28 lits eq 35
% 123.44/17.28 fd_pure 0
% 123.44/17.28 fd_pseudo 0
% 123.44/17.28 fd_cond 0
% 123.44/17.28 fd_pseudo_cond 19
% 123.44/17.28 AC symbols 0
% 123.44/17.28
% 123.44/17.28 ------ Input Options Time Limit: Unbounded
% 123.44/17.28
% 123.44/17.28
% 123.44/17.28 ------
% 123.44/17.28 Current options:
% 123.44/17.28 ------
% 123.44/17.28
% 123.44/17.28
% 123.44/17.28
% 123.44/17.28
% 123.44/17.28 ------ Proving...
% 123.44/17.28
% 123.44/17.28
% 123.44/17.28 % SZS status Theorem for theBenchmark.p
% 123.44/17.28
% 123.44/17.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 123.44/17.28
% 123.44/17.29
%------------------------------------------------------------------------------