%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KRS081+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:54:06 PM UTC 2026
% Result : Unsatisfiable 2.68s 0.97s
% Output : CNFRefutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 7
% Syntax : Number of formulae : 134 ( 5 unt; 1 def)
% Number of atoms : 1047 ( 431 equ)
% Maximal formula atoms : 48 ( 7 avg)
% Number of connectives : 1268 ( 355 ~; 640 |; 261 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-1 aty)
% Number of variables : 285 ( 0 sgn 203 !; 82 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( cp2(X1)
& rr(X0,X1) )
& ? [X1] :
( cp(X1)
& cp1(X1)
& rr(X0,X1) )
& ! [X2,X3,X4,X5,X6] :
( ( rr(X0,X6)
& rr(X0,X5)
& rr(X0,X4)
& rr(X0,X3)
& rr(X0,X2) )
=> ( X5 = X6
| X4 = X6
| X4 = X5
| X3 = X6
| X3 = X5
| X3 = X4
| X2 = X6
| X2 = X5
| X2 = X4
| X2 = X3 ) )
& ? [X1] :
( cp1(X1)
& rr(X0,X1) )
& ? [X1] :
( cp3(X1)
& cp(X1)
& rr(X0,X1) )
& ? [X1] :
( cp5(X1)
& rr(X0,X1) )
& ? [X1] :
( cp(X1)
& cp2(X1)
& rr(X0,X1) )
& ? [X1] :
( cp4(X1)
& rr(X0,X1) )
& ? [X1] :
( cp(X1)
& cp4(X1)
& rr(X0,X1) )
& ? [X1] :
( cp3(X1)
& rr(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f17,axiom,
! [X0] :
( cp1(X0)
=> ~ ( cp3(X0)
| cp5(X0)
| cp4(X0)
| cp2(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f18,axiom,
! [X0] :
( cp2(X0)
=> ~ ( cp3(X0)
| cp5(X0)
| cp4(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f19,axiom,
! [X0] :
( cp3(X0)
=> ~ ( cp5(X0)
| cp4(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f20,axiom,
! [X0] :
( cp4(X0)
=> ~ cp5(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f21,axiom,
cUnsatisfiable(i2003_11_14_17_19_24236),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f22,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X14] :
( cp2(X14)
& rr(X0,X14) )
& ? [X13] :
( cp(X13)
& cp1(X13)
& rr(X0,X13) )
& ! [X8,X9,X10,X11,X12] :
( ( rr(X0,X12)
& rr(X0,X11)
& rr(X0,X10)
& rr(X0,X9)
& rr(X0,X8) )
=> ( X11 = X12
| X10 = X12
| X10 = X11
| X9 = X12
| X9 = X11
| X9 = X10
| X8 = X12
| X8 = X11
| X8 = X10
| X8 = X9 ) )
& ? [X7] :
( cp1(X7)
& rr(X0,X7) )
& ? [X6] :
( cp3(X6)
& cp(X6)
& rr(X0,X6) )
& ? [X5] :
( cp5(X5)
& rr(X0,X5) )
& ? [X4] :
( cp(X4)
& cp2(X4)
& rr(X0,X4) )
& ? [X3] :
( cp4(X3)
& rr(X0,X3) )
& ? [X2] :
( cp(X2)
& cp4(X2)
& rr(X0,X2) )
& ? [X1] :
( cp3(X1)
& rr(X0,X1) ) ) ),
inference(rectify,[],[f16]) ).
fof(f49,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X14] :
( cp2(X14)
& rr(X0,X14) )
& ? [X13] :
( cp(X13)
& cp1(X13)
& rr(X0,X13) )
& ! [X8,X9,X10,X11,X12] :
( ~ rr(X0,X12)
| ~ rr(X0,X11)
| ~ rr(X0,X10)
| ~ rr(X0,X9)
| ~ rr(X0,X8)
| X11 = X12
| X10 = X12
| X10 = X11
| X9 = X12
| X9 = X11
| X9 = X10
| X8 = X12
| X8 = X11
| X8 = X10
| X8 = X9 )
& ? [X7] :
( cp1(X7)
& rr(X0,X7) )
& ? [X6] :
( cp3(X6)
& cp(X6)
& rr(X0,X6) )
& ? [X5] :
( cp5(X5)
& rr(X0,X5) )
& ? [X4] :
( cp(X4)
& cp2(X4)
& rr(X0,X4) )
& ? [X3] :
( cp4(X3)
& rr(X0,X3) )
& ? [X2] :
( cp(X2)
& cp4(X2)
& rr(X0,X2) )
& ? [X1] :
( cp3(X1)
& rr(X0,X1) ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f50,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X14] :
( cp2(X14)
& rr(X0,X14) )
& ? [X13] :
( cp(X13)
& cp1(X13)
& rr(X0,X13) )
& ! [X8,X9,X10,X11,X12] :
( ~ rr(X0,X12)
| ~ rr(X0,X11)
| ~ rr(X0,X10)
| ~ rr(X0,X9)
| ~ rr(X0,X8)
| X11 = X12
| X10 = X12
| X10 = X11
| X9 = X12
| X9 = X11
| X9 = X10
| X8 = X12
| X8 = X11
| X8 = X10
| X8 = X9 )
& ? [X7] :
( cp1(X7)
& rr(X0,X7) )
& ? [X6] :
( cp3(X6)
& cp(X6)
& rr(X0,X6) )
& ? [X5] :
( cp5(X5)
& rr(X0,X5) )
& ? [X4] :
( cp(X4)
& cp2(X4)
& rr(X0,X4) )
& ? [X3] :
( cp4(X3)
& rr(X0,X3) )
& ? [X2] :
( cp(X2)
& cp4(X2)
& rr(X0,X2) )
& ? [X1] :
( cp3(X1)
& rr(X0,X1) ) ) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0] :
( ~ cp1(X0)
| ( ~ cp3(X0)
& ~ cp5(X0)
& ~ cp4(X0)
& ~ cp2(X0) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f52,plain,
! [X0] :
( ~ cp2(X0)
| ( ~ cp3(X0)
& ~ cp5(X0)
& ~ cp4(X0) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f53,plain,
! [X0] :
( ~ cp3(X0)
| ( ~ cp5(X0)
& ~ cp4(X0) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f54,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp5(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f61,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X14] :
( cp2(X14)
& rr(X0,X14) )
& ? [X13] :
( cp(X13)
& cp1(X13)
& rr(X0,X13) )
& sP0(X0)
& ? [X7] :
( cp1(X7)
& rr(X0,X7) )
& ? [X6] :
( cp3(X6)
& cp(X6)
& rr(X0,X6) )
& ? [X5] :
( cp5(X5)
& rr(X0,X5) )
& ? [X4] :
( cp(X4)
& cp2(X4)
& rr(X0,X4) )
& ? [X3] :
( cp4(X3)
& rr(X0,X3) )
& ? [X2] :
( cp(X2)
& cp4(X2)
& rr(X0,X2) )
& ? [X1] :
( cp3(X1)
& rr(X0,X1) ) ) )
& ( ! [X14] :
( ~ cp2(X14)
| ~ rr(X0,X14) )
| ! [X13] :
( ~ cp(X13)
| ~ cp1(X13)
| ~ rr(X0,X13) )
| ~ sP0(X0)
| ! [X7] :
( ~ cp1(X7)
| ~ rr(X0,X7) )
| ! [X6] :
( ~ cp3(X6)
| ~ cp(X6)
| ~ rr(X0,X6) )
| ! [X5] :
( ~ cp5(X5)
| ~ rr(X0,X5) )
| ! [X4] :
( ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4) )
| ! [X3] :
( ~ cp4(X3)
| ~ rr(X0,X3) )
| ! [X2] :
( ~ cp(X2)
| ~ cp4(X2)
| ~ rr(X0,X2) )
| ! [X1] :
( ~ cp3(X1)
| ~ rr(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f62,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X14] :
( cp2(X14)
& rr(X0,X14) )
& ? [X13] :
( cp(X13)
& cp1(X13)
& rr(X0,X13) )
& sP0(X0)
& ? [X7] :
( cp1(X7)
& rr(X0,X7) )
& ? [X6] :
( cp3(X6)
& cp(X6)
& rr(X0,X6) )
& ? [X5] :
( cp5(X5)
& rr(X0,X5) )
& ? [X4] :
( cp(X4)
& cp2(X4)
& rr(X0,X4) )
& ? [X3] :
( cp4(X3)
& rr(X0,X3) )
& ? [X2] :
( cp(X2)
& cp4(X2)
& rr(X0,X2) )
& ? [X1] :
( cp3(X1)
& rr(X0,X1) ) ) )
& ( ! [X14] :
( ~ cp2(X14)
| ~ rr(X0,X14) )
| ! [X13] :
( ~ cp(X13)
| ~ cp1(X13)
| ~ rr(X0,X13) )
| ~ sP0(X0)
| ! [X7] :
( ~ cp1(X7)
| ~ rr(X0,X7) )
| ! [X6] :
( ~ cp3(X6)
| ~ cp(X6)
| ~ rr(X0,X6) )
| ! [X5] :
( ~ cp5(X5)
| ~ rr(X0,X5) )
| ! [X4] :
( ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4) )
| ! [X3] :
( ~ cp4(X3)
| ~ rr(X0,X3) )
| ! [X2] :
( ~ cp(X2)
| ~ cp4(X2)
| ~ rr(X0,X2) )
| ! [X1] :
( ~ cp3(X1)
| ~ rr(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( ? [X18] :
( cp2(X18)
& rr(X0,X18) )
& ? [X17] :
( cp(X17)
& cp1(X17)
& rr(X0,X17) )
& sP0(X0)
& ? [X16] :
( cp1(X16)
& rr(X0,X16) )
& ? [X15] :
( cp3(X15)
& cp(X15)
& rr(X0,X15) )
& ? [X14] :
( cp5(X14)
& rr(X0,X14) )
& ? [X13] :
( cp(X13)
& cp2(X13)
& rr(X0,X13) )
& ? [X12] :
( cp4(X12)
& rr(X0,X12) )
& ? [X11] :
( cp(X11)
& cp4(X11)
& rr(X0,X11) )
& ? [X10] :
( cp3(X10)
& rr(X0,X10) ) ) )
& ( ! [X9] :
( ~ cp2(X9)
| ~ rr(X0,X9) )
| ! [X8] :
( ~ cp(X8)
| ~ cp1(X8)
| ~ rr(X0,X8) )
| ~ sP0(X0)
| ! [X7] :
( ~ cp1(X7)
| ~ rr(X0,X7) )
| ! [X6] :
( ~ cp3(X6)
| ~ cp(X6)
| ~ rr(X0,X6) )
| ! [X5] :
( ~ cp5(X5)
| ~ rr(X0,X5) )
| ! [X4] :
( ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4) )
| ! [X3] :
( ~ cp4(X3)
| ~ rr(X0,X3) )
| ! [X2] :
( ~ cp(X2)
| ~ cp4(X2)
| ~ rr(X0,X2) )
| ! [X1] :
( ~ cp3(X1)
| ~ rr(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(rectify,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ( ~ cUnsatisfiable(X0)
| ( cp2(sK14(X0))
& rr(X0,sK14(X0))
& cp(sK13(X0))
& cp1(sK13(X0))
& rr(X0,sK13(X0))
& sP0(X0)
& cp1(sK12(X0))
& rr(X0,sK12(X0))
& cp3(sK11(X0))
& cp(sK11(X0))
& rr(X0,sK11(X0))
& cp5(sK10(X0))
& rr(X0,sK10(X0))
& cp(sK9(X0))
& cp2(sK9(X0))
& rr(X0,sK9(X0))
& cp4(sK8(X0))
& rr(X0,sK8(X0))
& cp(sK7(X0))
& cp4(sK7(X0))
& rr(X0,sK7(X0))
& cp3(sK6(X0))
& rr(X0,sK6(X0)) ) )
& ( ! [X9] :
( ~ cp2(X9)
| ~ rr(X0,X9) )
| ! [X8] :
( ~ cp(X8)
| ~ cp1(X8)
| ~ rr(X0,X8) )
| ~ sP0(X0)
| ! [X7] :
( ~ cp1(X7)
| ~ rr(X0,X7) )
| ! [X6] :
( ~ cp3(X6)
| ~ cp(X6)
| ~ rr(X0,X6) )
| ! [X5] :
( ~ cp5(X5)
| ~ rr(X0,X5) )
| ! [X4] :
( ~ cp(X4)
| ~ cp2(X4)
| ~ rr(X0,X4) )
| ! [X3] :
( ~ cp4(X3)
| ~ rr(X0,X3) )
| ! [X2] :
( ~ cp(X2)
| ~ cp4(X2)
| ~ rr(X0,X2) )
| ! [X1] :
( ~ cp3(X1)
| ~ rr(X0,X1) )
| cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14]),skolemize(X10,sK6(X0)),skolemize(X11,sK7(X0)),skolemize(X12,sK8(X0)),skolemize(X13,sK9(X0)),skolemize(X14,sK10(X0)),skolemize(X15,sK11(X0)),skolemize(X16,sK12(X0)),skolemize(X17,sK13(X0)),skolemize(X18,sK14(X0))],[f63]) ).
fof(f100,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp(sK13(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f101,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp1(sK13(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f102,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK13(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f103,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f106,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp3(sK11(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f108,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK11(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f109,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp5(sK10(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f110,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f112,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp2(sK9(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f113,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f117,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp4(sK7(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f118,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f122,plain,
! [X0] :
( ~ cp1(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f123,plain,
! [X0] :
( ~ cp1(X0)
| ~ cp5(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f124,plain,
! [X0] :
( ~ cp1(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f125,plain,
! [X0] :
( ~ cp1(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f126,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f127,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp5(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f128,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f129,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp5(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f130,plain,
! [X0] :
( ~ cp3(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f131,plain,
! [X0] :
( ~ cp4(X0)
| ~ cp5(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f132,plain,
cUnsatisfiable(i2003_11_14_17_19_24236),
inference(cnf_transformation,[],[f21]) ).
tcf(c_72,plain,
! [X0: $i] :
( rr(X0,sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_73,plain,
! [X0: $i] :
( cp4(sK7(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_77,plain,
! [X0: $i] :
( rr(X0,sK9(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_78,plain,
! [X0: $i] :
( cp2(sK9(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_80,plain,
! [X0: $i] :
( rr(X0,sK10(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_81,plain,
! [X0: $i] :
( cp5(sK10(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_82,plain,
! [X0: $i] :
( rr(X0,sK11(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_84,plain,
! [X0: $i] :
( cp3(sK11(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_87,plain,
! [X0: $i] :
( sP0(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_88,plain,
! [X0: $i] :
( rr(X0,sK13(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_89,plain,
! [X0: $i] :
( cp1(sK13(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_90,plain,
! [X0: $i] :
( cp(sK13(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_93,plain,
! [X0: $i] :
( ~ cp1(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_94,plain,
! [X0: $i] :
( ~ cp1(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_95,plain,
! [X0: $i] :
( ~ cp1(X0)
| ~ cp5(X0) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_96,plain,
! [X0: $i] :
( ~ cp1(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_97,plain,
! [X0: $i] :
( ~ cp2(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_98,plain,
! [X0: $i] :
( ~ cp5(X0)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_99,plain,
! [X0: $i] :
( ~ cp2(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_100,plain,
! [X0: $i] :
( ~ cp4(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_101,plain,
! [X0: $i] :
( ~ cp5(X0)
| ~ cp3(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_102,plain,
! [X0: $i] :
( ~ cp5(X0)
| ~ cp4(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_103,plain,
cUnsatisfiable(i2003_11_14_17_19_24236),
inference(cnf_transformation,[],[f132]) ).
tcf(c_1908,plain,
( cp3(sK11(i2003_11_14_17_19_24236))
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_1910,plain,
( cp4(sK7(i2003_11_14_17_19_24236))
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_1985,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp1(sK9(X0)) ),
inference(superposition,[status(thm)],[c_78,c_93]) ).
tcf(c_1987,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp5(sK9(X0)) ),
inference(superposition,[status(thm)],[c_78,c_98]) ).
tcf(c_1988,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp3(sK9(X0)) ),
inference(superposition,[status(thm)],[c_78,c_99]) ).
tcf(c_1989,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp3(sK9(i2003_11_14_17_19_24236)) ),
inference(instantiation,[status(thm)],[c_1988]) ).
tcf(c_1990,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp5(sK9(i2003_11_14_17_19_24236)) ),
inference(instantiation,[status(thm)],[c_1987]) ).
tcf(c_1992,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp1(sK9(i2003_11_14_17_19_24236)) ),
inference(instantiation,[status(thm)],[c_1985]) ).
tcf(c_1997,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp3(sK7(X0)) ),
inference(superposition,[status(thm)],[c_73,c_100]) ).
tcf(c_1998,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp5(sK7(X0)) ),
inference(superposition,[status(thm)],[c_73,c_102]) ).
tcf(c_1999,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp5(sK7(i2003_11_14_17_19_24236)) ),
inference(instantiation,[status(thm)],[c_1998]) ).
tcf(c_2000,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp3(sK7(i2003_11_14_17_19_24236)) ),
inference(instantiation,[status(thm)],[c_1997]) ).
tcf(c_5325,plain,
( cp5(sK10(i2003_11_14_17_19_24236))
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_5398,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp3(sK10(X0)) ),
inference(superposition,[status(thm)],[c_81,c_101]) ).
tcf(c_5399,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp3(sK10(i2003_11_14_17_19_24236)) ),
inference(instantiation,[status(thm)],[c_5398]) ).
tcf(c_5737,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp4(sK13(X0)) ),
inference(superposition,[status(thm)],[c_89,c_94]) ).
tcf(c_5738,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp5(sK13(X0)) ),
inference(superposition,[status(thm)],[c_89,c_95]) ).
tcf(c_5739,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp3(sK13(X0)) ),
inference(superposition,[status(thm)],[c_89,c_96]) ).
tcf(c_5762,plain,
! [X0: $i] :
( ~ cUnsatisfiable(X0)
| ~ cp4(sK9(X0)) ),
inference(superposition,[status(thm)],[c_78,c_97]) ).
fof(f55,definition,
! [X0] :
( sP0(X0)
<=> ! [X8,X9,X10,X11,X12] :
( ~ rr(X0,X12)
| ~ rr(X0,X11)
| ~ rr(X0,X10)
| ~ rr(X0,X9)
| ~ rr(X0,X8)
| X11 = X12
| X10 = X12
| X10 = X11
| X9 = X12
| X9 = X11
| X9 = X10
| X8 = X12
| X8 = X11
| X8 = X10
| X8 = X9 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f56,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X14] :
( cp2(X14)
& rr(X0,X14) )
& ? [X13] :
( cp(X13)
& cp1(X13)
& rr(X0,X13) )
& sP0(X0)
& ? [X7] :
( cp1(X7)
& rr(X0,X7) )
& ? [X6] :
( cp3(X6)
& cp(X6)
& rr(X0,X6) )
& ? [X5] :
( cp5(X5)
& rr(X0,X5) )
& ? [X4] :
( cp(X4)
& cp2(X4)
& rr(X0,X4) )
& ? [X3] :
( cp4(X3)
& rr(X0,X3) )
& ? [X2] :
( cp(X2)
& cp4(X2)
& rr(X0,X2) )
& ? [X1] :
( cp3(X1)
& rr(X0,X1) ) ) ),
inference(definition_folding,[],[f50,f55]) ).
fof(f58,plain,
! [X0] :
( ( ~ sP0(X0)
| ! [X8,X9,X10,X11,X12] :
( ~ rr(X0,X12)
| ~ rr(X0,X11)
| ~ rr(X0,X10)
| ~ rr(X0,X9)
| ~ rr(X0,X8)
| X11 = X12
| X10 = X12
| X10 = X11
| X9 = X12
| X9 = X11
| X9 = X10
| X8 = X12
| X8 = X11
| X8 = X10
| X8 = X9 ) )
& ( ? [X8,X9,X10,X11,X12] :
( rr(X0,X12)
& rr(X0,X11)
& rr(X0,X10)
& rr(X0,X9)
& rr(X0,X8)
& X11 != X12
& X10 != X12
& X10 != X11
& X9 != X12
& X9 != X11
& X9 != X10
& X8 != X12
& X8 != X11
& X8 != X10
& X8 != X9 )
| sP0(X0) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f59,plain,
! [X0] :
( ( ~ sP0(X0)
| ! [X6,X7,X8,X9,X10] :
( ~ rr(X0,X10)
| ~ rr(X0,X9)
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6)
| X9 = X10
| X8 = X10
| X8 = X9
| X7 = X10
| X7 = X9
| X7 = X8
| X6 = X10
| X6 = X9
| X6 = X8
| X6 = X7 ) )
& ( ? [X1,X2,X3,X4,X5] :
( rr(X0,X5)
& rr(X0,X4)
& rr(X0,X3)
& rr(X0,X2)
& rr(X0,X1)
& X4 != X5
& X3 != X5
& X3 != X4
& X2 != X5
& X2 != X4
& X2 != X3
& X1 != X5
& X1 != X4
& X1 != X3
& X1 != X2 )
| sP0(X0) ) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ( ~ sP0(X0)
| ! [X6,X7,X8,X9,X10] :
( ~ rr(X0,X10)
| ~ rr(X0,X9)
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6)
| X9 = X10
| X8 = X10
| X8 = X9
| X7 = X10
| X7 = X9
| X7 = X8
| X6 = X10
| X6 = X9
| X6 = X8
| X6 = X7 ) )
& ( ( rr(X0,sK5(X0))
& rr(X0,sK4(X0))
& rr(X0,sK3(X0))
& rr(X0,sK2(X0))
& rr(X0,sK1(X0))
& sK4(X0) != sK5(X0)
& sK3(X0) != sK5(X0)
& sK3(X0) != sK4(X0)
& sK2(X0) != sK5(X0)
& sK2(X0) != sK4(X0)
& sK2(X0) != sK3(X0)
& sK1(X0) != sK5(X0)
& sK1(X0) != sK4(X0)
& sK1(X0) != sK3(X0)
& sK1(X0) != sK2(X0) )
| sP0(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0)),skolemize(X3,sK3(X0)),skolemize(X4,sK4(X0)),skolemize(X5,sK5(X0))],[f59]) ).
fof(f82,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ sP0(X0)
| ~ rr(X0,X10)
| ~ rr(X0,X9)
| ~ rr(X0,X8)
| ~ rr(X0,X7)
| ~ rr(X0,X6)
| X9 = X10
| X8 = X10
| X8 = X9
| X7 = X10
| X7 = X9
| X7 = X8
| X6 = X10
| X6 = X9
| X6 = X8
| X6 = X7 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X4 = X5 )
| ( X3 = X5 )
| ( X3 = X4 )
| ( X2 = X5 )
| ( X2 = X4 )
| ( X2 = X3 )
| ( X1 = X5 )
| ( X1 = X4 )
| ( X1 = X3 )
| ( X1 = X2 )
| ~ sP0(X0)
| ~ rr(X0,X5)
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_5520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( X2 = X4 )
| ( X2 = X3 )
| ( X1 = X4 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( sK10(X0) = X4 )
| ( sK10(X0) = X3 )
| ( sK10(X0) = X2 )
| ( sK10(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ sP0(X0)
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_68]) ).
tcf(c_5615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( X2 = X4 )
| ( X2 = X3 )
| ( X1 = X4 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( sK10(X0) = X4 )
| ( sK10(X0) = X3 )
| ( sK10(X0) = X2 )
| ( sK10(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ~ rr(X0,X2)
| ~ rr(X0,X3)
| ~ rr(X0,X4) ),
inference(global_subsumption_just,[status(thm)],[c_5520,c_87,c_5520]) ).
tcf(c_5616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( X2 = X4 )
| ( X2 = X3 )
| ( X1 = X4 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( sK10(X0) = X4 )
| ( sK10(X0) = X3 )
| ( sK10(X0) = X2 )
| ( sK10(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1) ),
inference(renaming,[status(thm)],[c_5615]) ).
tcf(c_5899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( X2 = X4 )
| ( X2 = X3 )
| ( X1 = X4 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( sK10(X0) = X4 )
| ( sK10(X0) = X3 )
| ( sK10(X0) = X2 )
| ( sK10(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ sP0(X0)
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1) ),
inference(superposition,[status(thm)],[c_80,c_68]) ).
tcf(c_6000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( X2 = X4 )
| ( X2 = X3 )
| ( X1 = X4 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( sK10(X0) = X4 )
| ( sK10(X0) = X3 )
| ( sK10(X0) = X2 )
| ( sK10(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ~ rr(X0,X2)
| ~ rr(X0,X3)
| ~ rr(X0,X4) ),
inference(global_subsumption_just,[status(thm)],[c_5899,c_5616]) ).
tcf(c_6001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( X2 = X4 )
| ( X2 = X3 )
| ( X1 = X4 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( sK10(X0) = X4 )
| ( sK10(X0) = X3 )
| ( sK10(X0) = X2 )
| ( sK10(X0) = X1 )
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X4)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1) ),
inference(renaming,[status(thm)],[c_6000]) ).
tcf(c_6041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( sK13(X0) = X3 )
| ( sK13(X0) = X2 )
| ( sK13(X0) = X1 )
| ( sK10(X0) = X3 )
| ( sK10(X0) = X2 )
| ( sK10(X0) = X1 )
| ( sK10(X0) = sK13(X0) )
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X3)
| ~ rr(X0,X2)
| ~ rr(X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_6001]) ).
tcf(c_6317,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sK13(X0) = X2 )
| ( sK13(X0) = X1 )
| ( sK11(X0) = X2 )
| ( sK11(X0) = X1 )
| ( sK11(X0) = sK13(X0) )
| ( sK10(X0) = X2 )
| ( sK10(X0) = X1 )
| ( sK10(X0) = sK13(X0) )
| ( sK10(X0) = sK11(X0) )
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X2)
| ~ rr(X0,X1) ),
inference(superposition,[status(thm)],[c_82,c_6041]) ).
tcf(c_7074,plain,
! [X0: $i,X1: $i] :
( ( sK13(X0) = X1 )
| ( sK11(X0) = X1 )
| ( sK11(X0) = sK13(X0) )
| ( sK10(X0) = X1 )
| ( sK10(X0) = sK13(X0) )
| ( sK10(X0) = sK11(X0) )
| ( sK9(X0) = X1 )
| ( sK9(X0) = sK13(X0) )
| ( sK9(X0) = sK11(X0) )
| ( sK9(X0) = sK10(X0) )
| ~ cUnsatisfiable(X0)
| ~ rr(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_6317]) ).
tcf(c_7699,plain,
! [X0: $i] :
( ( sK11(X0) = sK13(X0) )
| ( sK10(X0) = sK13(X0) )
| ( sK10(X0) = sK11(X0) )
| ( sK9(X0) = sK13(X0) )
| ( sK9(X0) = sK11(X0) )
| ( sK9(X0) = sK10(X0) )
| ( sK7(X0) = sK13(X0) )
| ( sK7(X0) = sK11(X0) )
| ( sK7(X0) = sK10(X0) )
| ( sK7(X0) = sK9(X0) )
| ~ cUnsatisfiable(X0) ),
inference(superposition,[status(thm)],[c_72,c_7074]) ).
tcf(c_8039,plain,
( ( sK11(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK10(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) ) ),
inference(superposition,[status(thm)],[c_103,c_7699]) ).
tcf(c_8110,plain,
( ( sK10(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp4(sK11(i2003_11_14_17_19_24236)) ),
inference(superposition,[status(thm)],[c_8039,c_5737]) ).
tcf(c_8111,plain,
( ( sK10(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp5(sK11(i2003_11_14_17_19_24236)) ),
inference(superposition,[status(thm)],[c_8039,c_5738]) ).
tcf(c_8112,plain,
( ( sK10(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp3(sK11(i2003_11_14_17_19_24236)) ),
inference(superposition,[status(thm)],[c_8039,c_5739]) ).
tcf(c_8114,plain,
( cp1(sK11(i2003_11_14_17_19_24236))
| ( sK10(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(superposition,[status(thm)],[c_8039,c_89]) ).
tcf(c_8156,plain,
( ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK10(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) ) ),
inference(global_subsumption_just,[status(thm)],[c_8114,c_103,c_1908,c_8112]) ).
tcf(c_8157,plain,
( ( sK10(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) ) ),
inference(renaming,[status(thm)],[c_8156]) ).
tcf(c_8176,plain,
( ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp4(sK10(i2003_11_14_17_19_24236)) ),
inference(superposition,[status(thm)],[c_8157,c_5737]) ).
tcf(c_8177,plain,
( ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp5(sK10(i2003_11_14_17_19_24236)) ),
inference(superposition,[status(thm)],[c_8157,c_5738]) ).
tcf(c_8178,plain,
( ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp3(sK10(i2003_11_14_17_19_24236)) ),
inference(superposition,[status(thm)],[c_8157,c_5739]) ).
tcf(c_8180,plain,
( cp1(sK10(i2003_11_14_17_19_24236))
| ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(superposition,[status(thm)],[c_8157,c_89]) ).
tcf(c_8181,plain,
( cp(sK10(i2003_11_14_17_19_24236))
| ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(superposition,[status(thm)],[c_8157,c_90]) ).
tcf(c_8302,plain,
( ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) ) ),
inference(global_subsumption_just,[status(thm)],[c_8112,c_103,c_5325,c_8177]) ).
tcf(c_8303,plain,
( ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) ) ),
inference(renaming,[status(thm)],[c_8302]) ).
tcf(c_8324,plain,
( cp1(sK9(i2003_11_14_17_19_24236))
| ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(superposition,[status(thm)],[c_8303,c_89]) ).
tcf(c_8326,plain,
( ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) ) ),
inference(global_subsumption_just,[status(thm)],[c_8111,c_103,c_1992,c_8324]) ).
tcf(c_8327,plain,
( ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK13(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) ) ),
inference(renaming,[status(thm)],[c_8326]) ).
tcf(c_8342,plain,
( ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp4(sK7(i2003_11_14_17_19_24236)) ),
inference(superposition,[status(thm)],[c_8327,c_5737]) ).
tcf(c_8386,plain,
( ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) ) ),
inference(global_subsumption_just,[status(thm)],[c_8110,c_103,c_1910,c_8342]) ).
tcf(c_8387,plain,
( ( sK10(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) ) ),
inference(renaming,[status(thm)],[c_8386]) ).
tcf(c_8402,plain,
( cp3(sK10(i2003_11_14_17_19_24236))
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(superposition,[status(thm)],[c_8387,c_84]) ).
tcf(c_8405,plain,
( ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) ) ),
inference(global_subsumption_just,[status(thm)],[c_8181,c_103,c_5399,c_8402]) ).
tcf(c_8406,plain,
( ( sK9(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) ) ),
inference(renaming,[status(thm)],[c_8405]) ).
tcf(c_8419,plain,
( cp3(sK9(i2003_11_14_17_19_24236))
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(superposition,[status(thm)],[c_8406,c_84]) ).
tcf(c_8422,plain,
( ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) ) ),
inference(global_subsumption_just,[status(thm)],[c_8180,c_103,c_1989,c_8419]) ).
tcf(c_8423,plain,
( ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK11(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) ) ),
inference(renaming,[status(thm)],[c_8422]) ).
tcf(c_8434,plain,
( cp3(sK7(i2003_11_14_17_19_24236))
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(superposition,[status(thm)],[c_8423,c_84]) ).
tcf(c_8519,plain,
( ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) ) ),
inference(global_subsumption_just,[status(thm)],[c_8178,c_103,c_2000,c_8434]) ).
tcf(c_8520,plain,
( ( sK9(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) ) ),
inference(renaming,[status(thm)],[c_8519]) ).
tcf(c_8529,plain,
( cp5(sK9(i2003_11_14_17_19_24236))
| ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(superposition,[status(thm)],[c_8520,c_81]) ).
tcf(c_8531,plain,
( ( sK7(i2003_11_14_17_19_24236) = sK10(i2003_11_14_17_19_24236) )
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) ) ),
inference(global_subsumption_just,[status(thm)],[c_8177,c_103,c_1990,c_8529]) ).
tcf(c_8539,plain,
( cp5(sK7(i2003_11_14_17_19_24236))
| ( sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236) )
| ~ cUnsatisfiable(i2003_11_14_17_19_24236) ),
inference(superposition,[status(thm)],[c_8531,c_81]) ).
tcf(c_8541,plain,
sK7(i2003_11_14_17_19_24236) = sK9(i2003_11_14_17_19_24236),
inference(global_subsumption_just,[status(thm)],[c_8176,c_103,c_1999,c_8539]) ).
tcf(c_8544,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_24236)
| ~ cp4(sK7(i2003_11_14_17_19_24236)) ),
inference(superposition,[status(thm)],[c_8541,c_5762]) ).
tcf(c_8550,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8544,c_1910,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS081+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Wed Sep 23 19:19:08 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.33 Running first-order theorem proving
% 0.04/0.33 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.33
% 0.08/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.33
% 0.08/0.33 % Detected problem language: tptp
% 0.08/0.34 % Proving...
% 2.68/0.97 % SZS status Started for theBenchmark.p
% 2.68/0.97 % SZS status Unsatisfiable for theBenchmark.p
% 2.68/0.97
% 2.68/0.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.68/0.97
% 2.68/0.97 % ------ iProver source info
% 2.68/0.97
% 2.68/0.97 % git: date: 2026-07-19 20:42:38 +0200
% 2.68/0.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.68/0.97 % git: non_committed_changes: false
% 2.68/0.97
% 2.68/0.97 % ------ Parsing...
% 2.68/0.97 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 % ------ Problem Properties
% 2.68/0.97
% 2.68/0.97 %
% 2.68/0.97 % clauses 55
% 2.68/0.97 % conjectures 0
% 2.68/0.97 % EPR 18
% 2.68/0.97 % Horn 48
% 2.68/0.97 % unary 3
% 2.68/0.97 % binary 50
% 2.68/0.97 % lits 143
% 2.68/0.97 % lits eq 20
% 2.68/0.97 % fd_pure 0
% 2.68/0.97 % fd_pseudo 0
% 2.68/0.97 % fd_cond 0
% 2.68/0.97 % fd_pseudo_cond 1
% 2.68/0.97 % AC symbols 0
% 2.68/0.97
% 2.68/0.97 % ------ Input Options Time Limit: Unbounded
% 2.68/0.97
% 2.68/0.97
% 2.68/0.97 % ------
% 2.68/0.97 % Current options:
% 2.68/0.97 % ------
% 2.68/0.97
% 2.68/0.97
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % ------ Proving...
% 2.68/0.97 %
% 2.68/0.97
% 2.68/0.97 % SZS status Unsatisfiable for theBenchmark.p
% 2.68/0.97
% 2.68/0.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.68/0.98
%------------------------------------------------------------------------------