TSTP Solution File: GEO507+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO507+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : Fri May 3 02:17:41 EDT 2024
% Result : Theorem 281.46s 37.22s
% Output : CNFRefutation 281.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 25
% Syntax : Number of formulae : 197 ( 38 unt; 0 def)
% Number of atoms : 677 ( 200 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 756 ( 276 ~; 435 |; 44 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-5 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-5 aty)
% Number of variables : 431 ( 22 sgn 254 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X11,X14] : s_e(X11,X14,X11,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_1) ).
fof(f20,axiom,
! [X11,X14] : s_t(X11,X14,X14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_1) ).
fof(f22,axiom,
! [X19,X20] : s_t(X19,X19,X20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_3) ).
fof(f24,axiom,
! [X11,X14,X16,X13] :
( s_t(X11,X14,X13)
| ~ s_t(X14,X13,X16)
| ~ s_t(X11,X14,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_5a) ).
fof(f28,axiom,
! [X11,X14,X13,X16] :
( s_t(X11,X14,X16)
| ~ s_t(X11,X13,X16)
| ~ s_t(X11,X14,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_6b) ).
fof(f40,axiom,
! [X11,X14,X13] :
( s_col(X14,X13,X11)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11a) ).
fof(f41,axiom,
! [X11,X14,X13] :
( s_col(X13,X11,X14)
| ~ s_col(X11,X14,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11b) ).
fof(f72,axiom,
! [X11,X12,X14] :
( ( ~ s_t(X11,X12,X14)
| ~ sameside(X11,X12,X14) )
& ( s_col(X11,X12,X14)
| ~ sameside(X11,X12,X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_4a) ).
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(f86,axiom,
! [X12,X15,X27,X26] :
( s_col(X12,X27,X26)
| ~ s_col(X12,X15,X26)
| ~ s_col(X12,X15,X27)
| X12 = X27
| X12 = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_16b) ).
fof(f89,axiom,
! [X11,X14,X12,X15,X26] :
( s_col(X11,X14,X26)
| ~ s_col(X12,X15,X26)
| ~ s_col(X12,X15,X14)
| ~ s_col(X12,X15,X11)
| X12 = X15
| X11 = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_18) ).
fof(f90,axiom,
! [X11,X14,X12,X15,X13,X16,X17] :
( s_col(X12,X15,X17)
| ~ s_col(X11,X14,X17)
| X13 = X16
| ~ s_col(X12,X15,X16)
| ~ s_col(X11,X14,X16)
| ~ s_col(X12,X15,X13)
| ~ s_col(X11,X14,X13)
| X12 = X15
| X11 = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_21) ).
fof(f117,axiom,
! [X13,X11,X14] :
( s_m(X11,isomidpoint(X11,X14,X13),X14)
| ~ s_e(X13,X11,X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_25) ).
fof(f122,axiom,
! [X11,X14,X13,X19] :
( X13 = X14
| ~ s_t(X11,X13,X19)
| ~ s_r(X19,X14,X13)
| ~ s_r(X11,X14,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_6) ).
fof(f128,axiom,
! [X11,X14,X12,X15] :
( perp(X12,X15,X11,X14)
| ~ perp(X11,X14,X12,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_12b) ).
fof(f131,conjecture,
! [X11,X14,X12,X15] :
( ~ s_col(X11,X14,X15)
| ~ s_col(X11,X14,X12)
| ~ perp(X11,X14,X12,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_14a) ).
fof(f132,negated_conjecture,
~ ! [X11,X14,X12,X15] :
( ~ s_col(X11,X14,X15)
| ~ s_col(X11,X14,X12)
| ~ perp(X11,X14,X12,X15) ),
inference(negated_conjecture,[],[f131]) ).
fof(f137,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(f140,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(f141,axiom,
! [X11,X28,X14] :
( ( s_m(X11,X28,X14)
| ~ s_e(X28,X11,X28,X14)
| ~ s_t(X11,X28,X14) )
& ( s_e(X28,X11,X28,X14)
| ~ s_m(X11,X28,X14) )
& ( s_t(X11,X28,X14)
| ~ s_m(X11,X28,X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn7_1) ).
fof(f144,axiom,
! [X1,X2,X0,X8,X9,X34,X3] :
( ( ~ s_r(f811(X1,X2,X8,X9,X0),X0,g811(X1,X2,X8,X9,X0))
| ~ s_col(X8,X9,X0)
| ~ s_col(X1,X2,X0)
| X8 = X9
| X1 = X2
| perpAt(X1,X2,X0,X8,X9) )
& ( s_col(X8,X9,g811(X1,X2,X8,X9,X0))
| ~ s_col(X8,X9,X0)
| ~ s_col(X1,X2,X0)
| X8 = X9
| X1 = X2
| perpAt(X1,X2,X0,X8,X9) )
& ( s_col(X1,X2,f811(X1,X2,X8,X9,X0))
| ~ s_col(X8,X9,X0)
| ~ s_col(X1,X2,X0)
| X8 = X9
| X1 = X2
| perpAt(X1,X2,X0,X8,X9) )
& ( s_r(X34,X0,X3)
| ~ s_col(X8,X9,X3)
| ~ s_col(X1,X2,X34)
| ~ perpAt(X1,X2,X0,X8,X9) )
& ( X8 != X9
| ~ perpAt(X1,X2,X0,X8,X9) )
& ( X1 != X2
| ~ perpAt(X1,X2,X0,X8,X9) )
& ( s_col(X8,X9,X0)
| ~ perpAt(X1,X2,X0,X8,X9) )
& ( s_col(X1,X2,X0)
| ~ perpAt(X1,X2,X0,X8,X9) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11a) ).
fof(f145,axiom,
! [X12,X15,X41,X42,X0] :
( ( ~ perpAt(X12,X15,X0,X41,X42)
| perp(X12,X15,X41,X42) )
& ( perpAt(X12,X15,il(X12,X15,X41,X42),X41,X42)
| ~ perp(X12,X15,X41,X42) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11b) ).
fof(f149,plain,
! [X0,X1] : s_e(X0,X1,X0,X1),
inference(rectify,[],[f9]) ).
fof(f160,plain,
! [X0,X1] : s_t(X0,X1,X1),
inference(rectify,[],[f20]) ).
fof(f162,plain,
! [X0,X1] : s_t(X0,X0,X1),
inference(rectify,[],[f22]) ).
fof(f164,plain,
! [X0,X1,X2,X3] :
( s_t(X0,X1,X3)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f24]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( s_t(X0,X1,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f28]) ).
fof(f177,plain,
! [X0,X1,X2] :
( s_col(X1,X2,X0)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f40]) ).
fof(f178,plain,
! [X0,X1,X2] :
( s_col(X2,X0,X1)
| ~ s_col(X0,X1,X2) ),
inference(rectify,[],[f41]) ).
fof(f209,plain,
! [X0,X1,X2] :
( ( ~ s_t(X0,X1,X2)
| ~ sameside(X0,X1,X2) )
& ( s_col(X0,X1,X2)
| ~ sameside(X0,X1,X2) ) ),
inference(rectify,[],[f72]) ).
fof(f210,plain,
! [X0,X1,X2] :
( s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(rectify,[],[f73]) ).
fof(f211,plain,
! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 ),
inference(rectify,[],[f74]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( s_col(X0,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X0 = X2
| X0 = X1 ),
inference(rectify,[],[f86]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4] :
( s_col(X0,X1,X4)
| ~ s_col(X2,X3,X4)
| ~ s_col(X2,X3,X1)
| ~ s_col(X2,X3,X0)
| X2 = X3
| X0 = X1 ),
inference(rectify,[],[f89]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( s_col(X2,X3,X6)
| ~ s_col(X0,X1,X6)
| X4 = X5
| ~ s_col(X2,X3,X5)
| ~ s_col(X0,X1,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| X2 = X3
| X0 = X1 ),
inference(rectify,[],[f90]) ).
fof(f254,plain,
! [X0,X1,X2] :
( s_m(X1,isomidpoint(X1,X2,X0),X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(rectify,[],[f117]) ).
fof(f259,plain,
! [X0,X1,X2,X3] :
( X1 = X2
| ~ s_t(X0,X2,X3)
| ~ s_r(X3,X1,X2)
| ~ s_r(X0,X1,X2) ),
inference(rectify,[],[f122]) ).
fof(f265,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(rectify,[],[f128]) ).
fof(f268,plain,
~ ! [X0,X1,X2,X3] :
( ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(rectify,[],[f132]) ).
fof(f273,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,[],[f137]) ).
fof(f276,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,[],[f140]) ).
fof(f277,plain,
! [X0,X1,X2] :
( ( s_m(X0,X1,X2)
| ~ s_e(X1,X0,X1,X2)
| ~ s_t(X0,X1,X2) )
& ( s_e(X1,X0,X1,X2)
| ~ s_m(X0,X1,X2) )
& ( s_t(X0,X1,X2)
| ~ s_m(X0,X1,X2) ) ),
inference(rectify,[],[f141]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ s_r(f811(X0,X1,X3,X4,X2),X2,g811(X0,X1,X3,X4,X2))
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2)
| X3 = X4
| X0 = X1
| perpAt(X0,X1,X2,X3,X4) )
& ( s_col(X3,X4,g811(X0,X1,X3,X4,X2))
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2)
| X3 = X4
| X0 = X1
| perpAt(X0,X1,X2,X3,X4) )
& ( s_col(X0,X1,f811(X0,X1,X3,X4,X2))
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2)
| X3 = X4
| X0 = X1
| perpAt(X0,X1,X2,X3,X4) )
& ( s_r(X5,X2,X6)
| ~ s_col(X3,X4,X6)
| ~ s_col(X0,X1,X5)
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( X3 != X4
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( X0 != X1
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( s_col(X3,X4,X2)
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( s_col(X0,X1,X2)
| ~ perpAt(X0,X1,X2,X3,X4) ) ),
inference(rectify,[],[f144]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ perpAt(X0,X1,X4,X2,X3)
| perp(X0,X1,X2,X3) )
& ( perpAt(X0,X1,il(X0,X1,X2,X3),X2,X3)
| ~ perp(X0,X1,X2,X3) ) ),
inference(rectify,[],[f145]) ).
fof(f282,plain,
? [X0,X1,X2,X3] :
( s_col(X0,X1,X3)
& s_col(X0,X1,X2)
& perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f268]) ).
fof(f283,plain,
( ? [X0,X1,X2,X3] :
( s_col(X0,X1,X3)
& s_col(X0,X1,X2)
& perp(X0,X1,X2,X3) )
=> ( s_col(sK0,sK1,sK3)
& s_col(sK0,sK1,sK2)
& perp(sK0,sK1,sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f284,plain,
( s_col(sK0,sK1,sK3)
& s_col(sK0,sK1,sK2)
& perp(sK0,sK1,sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f282,f283]) ).
fof(f297,plain,
! [X0,X1] : s_e(X0,X1,X0,X1),
inference(cnf_transformation,[],[f149]) ).
fof(f308,plain,
! [X0,X1] : s_t(X0,X1,X1),
inference(cnf_transformation,[],[f160]) ).
fof(f310,plain,
! [X0,X1] : s_t(X0,X0,X1),
inference(cnf_transformation,[],[f162]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X1,X3)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f164]) ).
fof(f316,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X1,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f330,plain,
! [X2,X0,X1] :
( s_col(X1,X2,X0)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f177]) ).
fof(f331,plain,
! [X2,X0,X1] :
( s_col(X2,X0,X1)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f368,plain,
! [X2,X0,X1] :
( s_col(X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f209]) ).
fof(f370,plain,
! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f210]) ).
fof(f371,plain,
! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f211]) ).
fof(f384,plain,
! [X2,X3,X0,X1] :
( s_col(X0,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f223]) ).
fof(f387,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X0,X1,X4)
| ~ s_col(X2,X3,X4)
| ~ s_col(X2,X3,X1)
| ~ s_col(X2,X3,X0)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f226]) ).
fof(f388,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_col(X2,X3,X6)
| ~ s_col(X0,X1,X6)
| X4 = X5
| ~ s_col(X2,X3,X5)
| ~ s_col(X0,X1,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f227]) ).
fof(f415,plain,
! [X2,X0,X1] :
( s_m(X1,isomidpoint(X1,X2,X0),X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f254]) ).
fof(f420,plain,
! [X2,X3,X0,X1] :
( X1 = X2
| ~ s_t(X0,X2,X3)
| ~ s_r(X3,X1,X2)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f259]) ).
fof(f426,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f265]) ).
fof(f437,plain,
perp(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f284]) ).
fof(f438,plain,
s_col(sK0,sK1,sK2),
inference(cnf_transformation,[],[f284]) ).
fof(f439,plain,
s_col(sK0,sK1,sK3),
inference(cnf_transformation,[],[f284]) ).
fof(f460,plain,
! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
fof(f461,plain,
! [X2,X0,X1] :
( ~ s_t(X1,X2,X0)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
fof(f473,plain,
! [X2,X0,X1] :
( s_t(X1,X2,X0)
| s_t(X1,X0,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f276]) ).
fof(f475,plain,
! [X2,X0,X1] :
( sameside(X0,X1,X2)
| X1 = X2
| X0 = X1
| ~ s_t(X1,X2,X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f476,plain,
! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f277]) ).
fof(f490,plain,
! [X2,X3,X0,X1,X4] :
( X0 != X1
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f280]) ).
fof(f492,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_r(X5,X2,X6)
| ~ s_col(X3,X4,X6)
| ~ s_col(X0,X1,X5)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f280]) ).
fof(f496,plain,
! [X2,X3,X0,X1] :
( perpAt(X0,X1,il(X0,X1,X2,X3),X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f281]) ).
fof(f516,plain,
! [X2,X3,X1,X4] : ~ perpAt(X1,X1,X2,X3,X4),
inference(equality_resolution,[],[f490]) ).
cnf(c_61,plain,
s_e(X0,X1,X0,X1),
inference(cnf_transformation,[],[f297]) ).
cnf(c_72,plain,
s_t(X0,X1,X1),
inference(cnf_transformation,[],[f308]) ).
cnf(c_74,plain,
s_t(X0,X0,X1),
inference(cnf_transformation,[],[f310]) ).
cnf(c_76,plain,
( ~ s_t(X0,X1,X2)
| ~ s_t(X1,X3,X2)
| s_t(X0,X1,X3) ),
inference(cnf_transformation,[],[f312]) ).
cnf(c_80,plain,
( ~ s_t(X0,X1,X2)
| ~ s_t(X0,X2,X3)
| s_t(X0,X1,X3) ),
inference(cnf_transformation,[],[f316]) ).
cnf(c_94,plain,
( ~ s_col(X0,X1,X2)
| s_col(X1,X2,X0) ),
inference(cnf_transformation,[],[f330]) ).
cnf(c_95,plain,
( ~ s_col(X0,X1,X2)
| s_col(X2,X0,X1) ),
inference(cnf_transformation,[],[f331]) ).
cnf(c_133,plain,
( ~ sameside(X0,X1,X2)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_134,plain,
( ~ s_col(X0,X1,X2)
| s_t(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_135,plain,
( X0 = X1
| sameside(X0,X1,X0) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_148,plain,
( ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,X3)
| X0 = X1
| X0 = X2
| s_col(X0,X2,X3) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_151,plain,
( ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X4)
| X0 = X1
| X2 = X3
| s_col(X2,X3,X4) ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_152,plain,
( ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X4)
| ~ s_col(X5,X6,X2)
| ~ s_col(X5,X6,X3)
| X0 = X1
| X2 = X3
| X5 = X6
| s_col(X5,X6,X4) ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_179,plain,
( ~ s_e(X0,X1,X0,X2)
| s_m(X1,isomidpoint(X1,X2,X0),X2) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_184,plain,
( ~ s_t(X0,X1,X2)
| ~ s_r(X0,X3,X1)
| ~ s_r(X2,X3,X1)
| X1 = X3 ),
inference(cnf_transformation,[],[f420]) ).
cnf(c_190,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_201,negated_conjecture,
s_col(sK0,sK1,sK3),
inference(cnf_transformation,[],[f439]) ).
cnf(c_202,negated_conjecture,
s_col(sK0,sK1,sK2),
inference(cnf_transformation,[],[f438]) ).
cnf(c_203,negated_conjecture,
perp(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f437]) ).
cnf(c_223,plain,
( ~ s_t(X0,X1,X2)
| s_col(X2,X0,X1) ),
inference(cnf_transformation,[],[f461]) ).
cnf(c_224,plain,
( ~ s_t(X0,X1,X2)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f460]) ).
cnf(c_234,plain,
( ~ s_t(X0,X1,X2)
| X0 = X1
| X0 = X2
| sameside(X2,X0,X1) ),
inference(cnf_transformation,[],[f475]) ).
cnf(c_236,plain,
( ~ sameside(X0,X1,X2)
| s_t(X1,X0,X2)
| s_t(X1,X2,X0) ),
inference(cnf_transformation,[],[f473]) ).
cnf(c_241,plain,
( ~ s_m(X0,X1,X2)
| s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f476]) ).
cnf(c_254,plain,
( ~ perpAt(X0,X1,X2,X3,X4)
| ~ s_col(X0,X1,X5)
| ~ s_col(X3,X4,X6)
| s_r(X5,X2,X6) ),
inference(cnf_transformation,[],[f492]) ).
cnf(c_256,plain,
~ perpAt(X0,X0,X1,X2,X3),
inference(cnf_transformation,[],[f516]) ).
cnf(c_260,plain,
( ~ perp(X0,X1,X2,X3)
| perpAt(X0,X1,il(X0,X1,X2,X3),X2,X3) ),
inference(cnf_transformation,[],[f496]) ).
cnf(c_3114,plain,
X0 = X0,
theory(equality) ).
cnf(c_3116,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_5346,plain,
( ~ perp(sK0,sK1,sK2,sK3)
| perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3) ),
inference(instantiation,[status(thm)],[c_260]) ).
cnf(c_7042,plain,
sK3 = sK3,
inference(instantiation,[status(thm)],[c_3114]) ).
cnf(c_7044,plain,
( X0 != X1
| sK3 != X1
| X0 = sK3 ),
inference(instantiation,[status(thm)],[c_3116]) ).
cnf(c_7529,plain,
( X0 = X1
| s_t(X1,X0,X0) ),
inference(superposition,[status(thm)],[c_135,c_236]) ).
cnf(c_9742,plain,
perp(sK2,sK3,sK0,sK1),
inference(superposition,[status(thm)],[c_203,c_190]) ).
cnf(c_10026,plain,
( X0 = sK2
| sameside(X0,sK2,X0) ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_10080,plain,
( X0 != X1
| sK2 != X1
| X0 = sK2 ),
inference(instantiation,[status(thm)],[c_3116]) ).
cnf(c_10177,plain,
( X0 = X1
| s_col(X1,X0,X0) ),
inference(superposition,[status(thm)],[c_7529,c_224]) ).
cnf(c_11272,plain,
s_m(X0,isomidpoint(X0,X0,X1),X0),
inference(superposition,[status(thm)],[c_61,c_179]) ).
cnf(c_11719,plain,
s_t(X0,isomidpoint(X0,X0,X1),X0),
inference(superposition,[status(thm)],[c_11272,c_241]) ).
cnf(c_12474,plain,
( ~ s_t(X0,X1,X0)
| s_t(X2,X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_76]) ).
cnf(c_13327,plain,
( ~ s_t(X0,X1,X2)
| s_t(X0,X0,X2) ),
inference(superposition,[status(thm)],[c_74,c_80]) ).
cnf(c_21109,plain,
~ perp(X0,X0,X1,X2),
inference(superposition,[status(thm)],[c_260,c_256]) ).
cnf(c_21188,plain,
s_t(X0,sK2,sK2),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_28888,plain,
( X0 = X1
| sameside(X1,X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_234]) ).
cnf(c_29081,plain,
( X0 = X1
| s_col(X1,X0,X1) ),
inference(superposition,[status(thm)],[c_28888,c_133]) ).
cnf(c_30114,plain,
( ~ s_r(X0,X1,X0)
| ~ s_r(X2,X1,X0)
| X0 = X1 ),
inference(superposition,[status(thm)],[c_74,c_184]) ).
cnf(c_31490,plain,
( sK3 = sK2
| sameside(sK3,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_10026]) ).
cnf(c_33215,plain,
( ~ s_col(sK0,sK1,X0)
| sK0 = sK1
| sK0 = sK3
| s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_201,c_148]) ).
cnf(c_33569,plain,
( sK0 = sK1
| sK0 = sK3
| s_col(sK0,sK3,sK3) ),
inference(superposition,[status(thm)],[c_201,c_33215]) ).
cnf(c_33932,plain,
( sK0 = sK1
| sK0 = sK3
| s_col(sK3,sK0,sK3) ),
inference(superposition,[status(thm)],[c_33569,c_95]) ).
cnf(c_37791,plain,
( ~ s_col(sK0,sK1,X0)
| ~ s_col(sK0,sK1,X1)
| X0 = sK3
| sK0 = sK1
| s_col(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_201,c_151]) ).
cnf(c_38399,plain,
( ~ s_col(sK0,sK1,X0)
| sK0 = sK1
| sK3 = sK2
| s_col(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_202,c_37791]) ).
cnf(c_38400,plain,
( ~ s_col(sK0,sK1,X0)
| sK0 = sK1
| sK0 = sK3
| s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_29081,c_37791]) ).
cnf(c_38545,plain,
( sK0 = sK1
| sK3 = sK2
| s_col(sK3,sK2,sK3) ),
inference(superposition,[status(thm)],[c_201,c_38399]) ).
cnf(c_38546,plain,
( sK0 = sK1
| sK3 = sK2
| s_col(sK3,sK2,sK2) ),
inference(superposition,[status(thm)],[c_202,c_38399]) ).
cnf(c_38558,plain,
( sK0 = sK1
| sK3 = sK2
| s_t(sK3,sK2,sK3)
| sameside(sK3,sK2,sK3) ),
inference(superposition,[status(thm)],[c_38545,c_134]) ).
cnf(c_40968,plain,
( sK3 = sK2
| sameside(sK3,sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_38558,c_31490]) ).
cnf(c_40973,plain,
( sK3 = sK2
| s_col(sK3,sK2,sK3) ),
inference(superposition,[status(thm)],[c_40968,c_133]) ).
cnf(c_41145,plain,
( ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X3)
| X0 = X1
| X2 = sK2
| sK0 = sK1
| s_col(X0,X1,X3) ),
inference(superposition,[status(thm)],[c_202,c_152]) ).
cnf(c_43222,plain,
( ~ s_col(sK0,sK1,X0)
| ~ s_col(sK0,sK1,sK3)
| ~ s_col(sK3,sK0,sK2)
| sK0 = sK1
| sK0 = sK3
| sK3 = sK2
| s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_33932,c_41145]) ).
cnf(c_44261,plain,
( ~ s_col(sK0,sK1,X0)
| sK0 = sK1
| sK0 = sK2
| s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_202,c_148]) ).
cnf(c_45023,plain,
( X0 != sK3
| sK2 != sK3
| X0 = sK2 ),
inference(instantiation,[status(thm)],[c_10080]) ).
cnf(c_45024,plain,
( sK3 != X0
| sK2 != X0
| sK2 = sK3 ),
inference(instantiation,[status(thm)],[c_7044]) ).
cnf(c_45782,plain,
( sK0 = sK1
| sK0 = sK2
| s_col(sK0,sK2,sK3) ),
inference(superposition,[status(thm)],[c_201,c_44261]) ).
cnf(c_46124,plain,
( sK0 = sK1
| sK0 = sK2
| s_col(sK2,sK3,sK0) ),
inference(superposition,[status(thm)],[c_45782,c_94]) ).
cnf(c_48574,plain,
( sK0 = sK3
| sK0 = sK1
| ~ s_col(sK0,sK1,X0)
| s_col(sK3,sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_43222,c_38400]) ).
cnf(c_48575,plain,
( ~ s_col(sK0,sK1,X0)
| sK0 = sK1
| sK0 = sK3
| s_col(sK3,sK0,X0) ),
inference(renaming,[status(thm)],[c_48574]) ).
cnf(c_48578,plain,
( sK0 = sK1
| sK0 = sK3
| s_col(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_202,c_48575]) ).
cnf(c_52860,plain,
( ~ s_col(sK3,sK0,X0)
| sK0 = sK1
| sK0 = sK3
| sK3 = sK2
| s_col(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_48578,c_148]) ).
cnf(c_53105,plain,
( sK0 = sK1
| sK0 = sK3
| sK3 = sK2
| s_col(sK3,sK2,sK2) ),
inference(superposition,[status(thm)],[c_48578,c_52860]) ).
cnf(c_53121,plain,
( sK0 = sK1
| sK3 = sK2
| s_col(sK3,sK2,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_53105,c_38546]) ).
cnf(c_53132,plain,
( sK0 = sK1
| sK3 = sK2
| s_col(sK2,sK2,sK3) ),
inference(superposition,[status(thm)],[c_53121,c_94]) ).
cnf(c_53821,plain,
( sK0 = sK1
| sK3 = sK2
| s_t(sK2,sK2,sK3)
| sameside(sK2,sK2,sK3) ),
inference(superposition,[status(thm)],[c_53132,c_134]) ).
cnf(c_53884,plain,
( ~ s_col(sK0,sK1,X0)
| ~ s_col(sK0,sK1,X1)
| X0 = sK3
| sK0 = sK1
| s_col(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_201,c_151]) ).
cnf(c_54058,plain,
( ~ s_col(sK0,sK1,X0)
| sK0 = sK1
| sK3 = sK2
| s_col(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_202,c_53884]) ).
cnf(c_54074,plain,
( sK0 = sK1
| sK3 = sK2
| s_col(sK3,sK2,sK1) ),
inference(superposition,[status(thm)],[c_10177,c_54058]) ).
cnf(c_54508,plain,
( ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X3)
| X0 = X1
| X2 = sK3
| sK0 = sK1
| s_col(X0,X1,X3) ),
inference(superposition,[status(thm)],[c_201,c_152]) ).
cnf(c_54889,plain,
( ~ s_col(sK0,sK1,X0)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK3,sK2,sK3)
| sK0 = sK1
| sK1 = sK3
| sK3 = sK2
| s_col(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_54074,c_54508]) ).
cnf(c_71363,plain,
( ~ s_col(sK0,sK1,X0)
| ~ s_col(sK0,sK1,X1)
| X0 = sK3
| sK0 = sK1
| s_col(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_201,c_151]) ).
cnf(c_74256,plain,
( ~ s_col(sK0,sK1,X0)
| sK0 = sK1
| sK3 = sK2
| s_col(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_202,c_71363]) ).
cnf(c_74548,plain,
( sK0 = sK1
| sK3 = sK2
| s_col(sK3,sK2,sK3) ),
inference(superposition,[status(thm)],[c_201,c_74256]) ).
cnf(c_74549,plain,
( sK0 = sK1
| sK3 = sK2
| s_col(sK3,sK2,sK2) ),
inference(superposition,[status(thm)],[c_202,c_74256]) ).
cnf(c_74702,plain,
( sK3 = sK2
| s_col(sK3,sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_74548,c_40973]) ).
cnf(c_74709,plain,
( sK3 = sK2
| s_t(sK3,sK2,sK3)
| sameside(sK3,sK2,sK3) ),
inference(superposition,[status(thm)],[c_74702,c_134]) ).
cnf(c_74892,plain,
( sK0 = sK1
| sK3 = sK2
| s_t(sK3,sK2,sK2)
| sameside(sK3,sK2,sK2) ),
inference(superposition,[status(thm)],[c_74549,c_134]) ).
cnf(c_79811,plain,
( sK3 = sK2
| sameside(sK3,sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_74709,c_31490]) ).
cnf(c_79814,plain,
( sK3 = sK2
| s_t(sK2,sK3,sK3) ),
inference(superposition,[status(thm)],[c_79811,c_236]) ).
cnf(c_84580,plain,
( ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X3)
| X0 = X1
| X2 = sK3
| sK0 = sK1
| s_col(X0,X1,X3) ),
inference(superposition,[status(thm)],[c_201,c_152]) ).
cnf(c_91218,plain,
s_t(X0,X1,isomidpoint(X1,X1,X2)),
inference(superposition,[status(thm)],[c_11719,c_12474]) ).
cnf(c_91332,plain,
( ~ s_col(sK0,sK1,X0)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK2,sK3,sK3)
| sK0 = sK1
| sK0 = sK3
| sK0 = sK2
| sK3 = sK2
| s_col(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_46124,c_84580]) ).
cnf(c_98228,plain,
( sK3 = sK2
| s_t(sK2,sK2,sK3) ),
inference(superposition,[status(thm)],[c_79814,c_13327]) ).
cnf(c_101236,plain,
s_t(sK3,sK2,sK2),
inference(instantiation,[status(thm)],[c_21188]) ).
cnf(c_103000,plain,
s_col(X0,X1,isomidpoint(X1,X1,X2)),
inference(superposition,[status(thm)],[c_91218,c_224]) ).
cnf(c_104779,plain,
( s_t(sK2,sK2,sK3)
| sK3 = sK2 ),
inference(global_subsumption_just,[status(thm)],[c_53821,c_98228]) ).
cnf(c_104780,plain,
( sK3 = sK2
| s_t(sK2,sK2,sK3) ),
inference(renaming,[status(thm)],[c_104779]) ).
cnf(c_104803,plain,
( sK3 = sK2
| s_col(sK3,sK2,sK2) ),
inference(superposition,[status(thm)],[c_104780,c_223]) ).
cnf(c_105718,plain,
( sK0 = sK1
| ~ s_col(sK0,sK1,X0)
| sK3 = sK2
| s_col(sK3,sK2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_54889,c_38399]) ).
cnf(c_105719,plain,
( ~ s_col(sK0,sK1,X0)
| sK0 = sK1
| sK3 = sK2
| s_col(sK3,sK2,X0) ),
inference(renaming,[status(thm)],[c_105718]) ).
cnf(c_105722,plain,
( sK0 = sK1
| sK3 = sK2
| s_col(sK3,sK2,sK2) ),
inference(superposition,[status(thm)],[c_202,c_105719]) ).
cnf(c_105740,plain,
( sK3 = sK2
| s_col(sK3,sK2,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_105722,c_104803]) ).
cnf(c_106841,plain,
( sK3 = sK2
| s_t(sK3,sK2,sK2)
| sameside(sK3,sK2,sK2) ),
inference(superposition,[status(thm)],[c_105740,c_134]) ).
cnf(c_106899,plain,
s_t(sK3,sK2,sK2),
inference(global_subsumption_just,[status(thm)],[c_106841,c_101236]) ).
cnf(c_106903,plain,
s_col(sK2,sK3,sK2),
inference(superposition,[status(thm)],[c_106899,c_223]) ).
cnf(c_130226,plain,
s_t(sK3,sK2,sK2),
inference(global_subsumption_just,[status(thm)],[c_74892,c_101236]) ).
cnf(c_130228,plain,
s_t(sK3,sK3,sK2),
inference(superposition,[status(thm)],[c_130226,c_13327]) ).
cnf(c_130915,plain,
s_col(sK2,sK3,sK3),
inference(superposition,[status(thm)],[c_130228,c_223]) ).
cnf(c_152273,plain,
( sK3 != sK3
| sK2 != sK3
| sK3 = sK2 ),
inference(instantiation,[status(thm)],[c_45023]) ).
cnf(c_179352,plain,
( sK3 != il(sK0,sK1,sK2,sK3)
| sK2 != il(sK0,sK1,sK2,sK3)
| sK2 = sK3 ),
inference(instantiation,[status(thm)],[c_45024]) ).
cnf(c_202575,plain,
( ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(sK2,sK3,X1)
| s_r(X0,il(sK0,sK1,sK2,sK3),X1) ),
inference(instantiation,[status(thm)],[c_254]) ).
cnf(c_205198,plain,
( ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(sK2,sK3,sK2)
| s_r(X0,il(sK0,sK1,sK2,sK3),sK2) ),
inference(instantiation,[status(thm)],[c_202575]) ).
cnf(c_205211,plain,
( ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(sK2,sK3,sK3)
| s_r(X0,il(sK0,sK1,sK2,sK3),sK3) ),
inference(instantiation,[status(thm)],[c_202575]) ).
cnf(c_215603,plain,
( ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3)
| ~ s_col(sK0,sK1,sK2)
| ~ s_col(sK2,sK3,sK2)
| s_r(sK2,il(sK0,sK1,sK2,sK3),sK2) ),
inference(instantiation,[status(thm)],[c_205198]) ).
cnf(c_215605,plain,
( ~ perpAt(sK0,sK1,il(sK0,sK1,sK2,sK3),sK2,sK3)
| ~ s_col(sK0,sK1,sK3)
| ~ s_col(sK2,sK3,sK3)
| s_r(sK3,il(sK0,sK1,sK2,sK3),sK3) ),
inference(instantiation,[status(thm)],[c_205211]) ).
cnf(c_220304,plain,
( ~ s_r(X0,il(sK0,sK1,sK2,sK3),X0)
| ~ s_r(X1,il(sK0,sK1,sK2,sK3),X0)
| X0 = il(sK0,sK1,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_30114]) ).
cnf(c_286499,plain,
( ~ s_r(X0,il(sK0,sK1,sK2,sK3),sK3)
| ~ s_r(sK3,il(sK0,sK1,sK2,sK3),sK3)
| sK3 = il(sK0,sK1,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_220304]) ).
cnf(c_286501,plain,
( ~ s_r(X0,il(sK0,sK1,sK2,sK3),sK2)
| ~ s_r(sK2,il(sK0,sK1,sK2,sK3),sK2)
| sK2 = il(sK0,sK1,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_220304]) ).
cnf(c_286515,plain,
( sK3 = sK2
| ~ s_col(sK0,sK1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_91332,c_202,c_201,c_203,c_5346,c_7042,c_106903,c_130915,c_152273,c_179352,c_205198,c_205211,c_215603,c_215605,c_286499,c_286501]) ).
cnf(c_286516,plain,
( ~ s_col(sK0,sK1,X0)
| sK3 = sK2 ),
inference(renaming,[status(thm)],[c_286515]) ).
cnf(c_286540,plain,
sK3 = sK2,
inference(superposition,[status(thm)],[c_103000,c_286516]) ).
cnf(c_286798,plain,
perp(sK3,sK3,sK0,sK1),
inference(superposition,[status(thm)],[c_286540,c_9742]) ).
cnf(c_288305,plain,
$false,
inference(superposition,[status(thm)],[c_286798,c_21109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO507+1 : TPTP v8.1.2. Released v7.0.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 01:15:50 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 281.46/37.22 % SZS status Started for theBenchmark.p
% 281.46/37.22 % SZS status Theorem for theBenchmark.p
% 281.46/37.22
% 281.46/37.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 281.46/37.22
% 281.46/37.22 ------ iProver source info
% 281.46/37.22
% 281.46/37.22 git: date: 2024-05-02 19:28:25 +0000
% 281.46/37.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 281.46/37.22 git: non_committed_changes: false
% 281.46/37.22
% 281.46/37.22 ------ Parsing...
% 281.46/37.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 281.46/37.22
% 281.46/37.22 ------ 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: 1 0s sf_e pe_s pe_e
% 281.46/37.22
% 281.46/37.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 281.46/37.22
% 281.46/37.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 281.46/37.22 ------ Proving...
% 281.46/37.22 ------ Problem Properties
% 281.46/37.22
% 281.46/37.22
% 281.46/37.22 clauses 168
% 281.46/37.22 conjectures 3
% 281.46/37.22 EPR 121
% 281.46/37.22 Horn 133
% 281.46/37.22 unary 31
% 281.46/37.22 binary 64
% 281.46/37.22 lits 477
% 281.46/37.22 lits eq 86
% 281.46/37.22 fd_pure 0
% 281.46/37.22 fd_pseudo 0
% 281.46/37.22 fd_cond 0
% 281.46/37.22 fd_pseudo_cond 47
% 281.46/37.22 AC symbols 0
% 281.46/37.22
% 281.46/37.22 ------ Input Options Time Limit: Unbounded
% 281.46/37.22
% 281.46/37.22
% 281.46/37.22 ------
% 281.46/37.22 Current options:
% 281.46/37.22 ------
% 281.46/37.22
% 281.46/37.22
% 281.46/37.22
% 281.46/37.22
% 281.46/37.22 ------ Proving...
% 281.46/37.22
% 281.46/37.22
% 281.46/37.22 % SZS status Theorem for theBenchmark.p
% 281.46/37.22
% 281.46/37.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 281.46/37.22
% 281.46/37.24
%------------------------------------------------------------------------------