TSTP Solution File: RNG057+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG057+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 02:57:26 EDT 2024
% Result : Theorem 4.32s 1.19s
% Output : CNFRefutation 4.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 83 ( 28 unt; 0 def)
% Number of atoms : 310 ( 10 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 441 ( 214 ~; 200 |; 18 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f56,axiom,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).
fof(f57,axiom,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2027) ).
fof(f58,axiom,
xN = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2052) ).
fof(f59,conjecture,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(negated_conjecture,[],[f59]) ).
fof(f66,plain,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(flattening,[],[f60]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f76,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f75]) ).
fof(f89,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f92,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f93,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f92]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f96]) ).
fof(f100,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f101,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f135,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f137,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f157,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f159,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f164,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f165,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f192,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f194,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f196,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f202,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f212,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f213,plain,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(cnf_transformation,[],[f57]) ).
fof(f214,plain,
xN = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f58]) ).
fof(f215,plain,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f66]) ).
cnf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f135]) ).
cnf(c_58,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_78,plain,
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_80,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_82,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_84,plain,
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f164]) ).
cnf(c_86,plain,
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_114,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f192]) ).
cnf(c_116,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f194]) ).
cnf(c_118,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f196]) ).
cnf(c_124,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f202]) ).
cnf(c_133,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f212]) ).
cnf(c_134,plain,
sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) = sdtasdt0(xP,xP),
inference(cnf_transformation,[],[f213]) ).
cnf(c_135,plain,
sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)) = xN,
inference(cnf_transformation,[],[f214]) ).
cnf(c_136,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f215]) ).
cnf(c_2975,plain,
( ~ sdtlseqdt0(sdtasdt0(X0,X1),X2)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(sz0z00)
| sdtlseqdt0(sz0z00,X2) ),
inference(superposition,[status(thm)],[c_84,c_80]) ).
cnf(c_3056,plain,
( ~ sdtlseqdt0(sdtasdt0(xE,xE),X0)
| ~ sdtlseqdt0(sdtasdt0(xH,xH),X1)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(X1,X0)) ),
inference(superposition,[status(thm)],[c_134,c_82]) ).
cnf(c_3061,plain,
( ~ sdtlseqdt0(X0,sdtasdt0(xH,xH))
| ~ sdtlseqdt0(X1,sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtasdt0(X0,X1),xN) ),
inference(superposition,[status(thm)],[c_135,c_82]) ).
cnf(c_3225,plain,
( ~ sdtlseqdt0(sdtasdt0(X0,X1),X2)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(sz0z00)
| sdtlseqdt0(sz0z00,X2) ),
inference(superposition,[status(thm)],[c_84,c_80]) ).
cnf(c_3378,plain,
( ~ sdtlseqdt0(sdtasdt0(xE,xE),X0)
| ~ sdtlseqdt0(sdtasdt0(xH,xH),X1)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(X1,X0)) ),
inference(superposition,[status(thm)],[c_134,c_82]) ).
cnf(c_3423,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2)
| sdtlseqdt0(sz0z00,X2) ),
inference(global_subsumption_just,[status(thm)],[c_2975,c_56,c_58,c_2975]) ).
cnf(c_3424,plain,
( ~ sdtlseqdt0(sdtasdt0(X0,X1),X2)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtlseqdt0(sz0z00,X2) ),
inference(renaming,[status(thm)],[c_3423]) ).
cnf(c_3791,plain,
( ~ sdtlseqdt0(X0,sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| sdtlseqdt0(sdtasdt0(sdtasdt0(xH,xH),X0),xN) ),
inference(superposition,[status(thm)],[c_78,c_3061]) ).
cnf(c_3896,plain,
( ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xH,xH))
| sdtlseqdt0(sdtasdt0(xP,xP),xN) ),
inference(superposition,[status(thm)],[c_135,c_3056]) ).
cnf(c_3902,plain,
( ~ sdtlseqdt0(X0,sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),xH)
| ~ sdtlseqdt0(sdtasdt0(xH,xH),xH)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ aScalar0(xH)
| sdtlseqdt0(sdtasdt0(sdtasdt0(xP,xP),X0),xN) ),
inference(superposition,[status(thm)],[c_3056,c_3061]) ).
cnf(c_3989,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2)
| sdtlseqdt0(sz0z00,X2) ),
inference(global_subsumption_just,[status(thm)],[c_3225,c_3424]) ).
cnf(c_3990,plain,
( ~ sdtlseqdt0(sdtasdt0(X0,X1),X2)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtlseqdt0(sz0z00,X2) ),
inference(renaming,[status(thm)],[c_3989]) ).
cnf(c_4866,plain,
( ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xH,xH))
| sdtlseqdt0(sdtasdt0(xP,xP),xN) ),
inference(superposition,[status(thm)],[c_135,c_3378]) ).
cnf(c_4870,plain,
( ~ sdtlseqdt0(sdtasdt0(xE,xE),X0)
| ~ sdtlseqdt0(sdtasdt0(xH,xH),X1)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(xP)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X0)) ),
inference(superposition,[status(thm)],[c_3378,c_3990]) ).
cnf(c_7194,plain,
( ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xH,xH))
| sdtlseqdt0(sdtasdt0(xP,xP),xN) ),
inference(superposition,[status(thm)],[c_134,c_3791]) ).
cnf(c_7989,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE)) ),
inference(global_subsumption_just,[status(thm)],[c_3896,c_136,c_133,c_7194]) ).
cnf(c_7990,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(renaming,[status(thm)],[c_7989]) ).
cnf(c_8004,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(xE) ),
inference(superposition,[status(thm)],[c_86,c_7990]) ).
cnf(c_8232,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(global_subsumption_just,[status(thm)],[c_3902,c_118,c_8004]) ).
cnf(c_8233,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(renaming,[status(thm)],[c_8232]) ).
cnf(c_8240,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(xH) ),
inference(superposition,[status(thm)],[c_58,c_8233]) ).
cnf(c_12795,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(global_subsumption_just,[status(thm)],[c_4866,c_124,c_8240]) ).
cnf(c_12801,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(xC)
| ~ aScalar0(xD) ),
inference(superposition,[status(thm)],[c_58,c_12795]) ).
cnf(c_12802,plain,
~ aScalar0(sdtasdt0(xE,xE)),
inference(global_subsumption_just,[status(thm)],[c_4870,c_116,c_114,c_12801]) ).
cnf(c_12804,plain,
~ aScalar0(xE),
inference(superposition,[status(thm)],[c_58,c_12802]) ).
cnf(c_12805,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12804,c_118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : RNG057+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 21:41:36 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.32/1.19 % SZS status Started for theBenchmark.p
% 4.32/1.19 % SZS status Theorem for theBenchmark.p
% 4.32/1.19
% 4.32/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.32/1.19
% 4.32/1.19 ------ iProver source info
% 4.32/1.19
% 4.32/1.19 git: date: 2024-05-02 19:28:25 +0000
% 4.32/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.32/1.19 git: non_committed_changes: false
% 4.32/1.19
% 4.32/1.19 ------ Parsing...
% 4.32/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.32/1.19
% 4.32/1.19 ------ Preprocessing... sup_sim: 3 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 4.32/1.19
% 4.32/1.19 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.32/1.19
% 4.32/1.19 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 4.32/1.19 ------ Proving...
% 4.32/1.19 ------ Problem Properties
% 4.32/1.19
% 4.32/1.19
% 4.32/1.19 clauses 90
% 4.32/1.19 conjectures 1
% 4.32/1.19 EPR 25
% 4.32/1.19 Horn 78
% 4.32/1.19 unary 39
% 4.32/1.19 binary 17
% 4.32/1.19 lits 222
% 4.32/1.19 lits eq 69
% 4.32/1.19 fd_pure 0
% 4.32/1.19 fd_pseudo 0
% 4.32/1.19 fd_cond 1
% 4.32/1.19 fd_pseudo_cond 5
% 4.32/1.19 AC symbols 0
% 4.32/1.19
% 4.32/1.19 ------ Input Options Time Limit: Unbounded
% 4.32/1.19
% 4.32/1.19
% 4.32/1.19 ------
% 4.32/1.19 Current options:
% 4.32/1.19 ------
% 4.32/1.19
% 4.32/1.19
% 4.32/1.19
% 4.32/1.19
% 4.32/1.19 ------ Proving...
% 4.32/1.19
% 4.32/1.19
% 4.32/1.19 % SZS status Theorem for theBenchmark.p
% 4.32/1.19
% 4.32/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.32/1.19
% 4.32/1.20
%------------------------------------------------------------------------------