%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG065+2 : TPTP v9.3.1. Released v4.0.0.
% 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 02:38:42 PM UTC 2026
% Result : Theorem 4.27s 1.08s
% Output : CNFRefutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 74 ( 23 unt; 0 def)
% Number of atoms : 248 ( 15 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 325 ( 151 ~; 149 |; 16 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 90 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f57,axiom,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2004) ).
fof(f64,axiom,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2348) ).
fof(f65,conjecture,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f66,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f67,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(flattening,[],[f66]) ).
fof(f79,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f80,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f85]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f88]) ).
fof(f120,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f121,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f120]) ).
fof(f164,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f166,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f168,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f170,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f172,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f57]) ).
fof(f181,plain,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f64]) ).
fof(f182,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f67]) ).
fof(f185,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f186,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f188,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f86]) ).
fof(f190,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f227,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_78,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f164]) ).
tcf(c_80,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f166]) ).
tcf(c_82,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f168]) ).
tcf(c_84,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f170]) ).
tcf(c_87,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f172]) ).
tcf(c_96,plain,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f181]) ).
tcf(c_97,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f182]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_168,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(xS) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_3521,plain,
( sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(superposition,[status(thm)],[c_100,c_97]) ).
tcf(c_4077,plain,
( aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(xR) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_4080,plain,
( aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_4084,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = X0 )
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),X0) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_4277,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0) ),
inference(superposition,[status(thm)],[c_3521,c_102]) ).
tcf(c_4445,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_4277,c_82,c_78,c_168,c_4077,c_4080,c_4277]) ).
tcf(c_5695,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X1)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_101,c_4445]) ).
tcf(c_6758,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X1) ),
inference(global_subsumption_just,[status(thm)],[c_5695,c_142,c_5695]) ).
tcf(c_6759,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X1)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
inference(renaming,[status(thm)],[c_6758]) ).
tcf(c_6825,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X1)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(superposition,[status(thm)],[c_6759,c_103]) ).
tcf(c_8861,plain,
( aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xP) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_8864,plain,
( aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_9526,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = sdtpldt0(X0,X1) )
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sdtpldt0(X0,X1)) ),
inference(instantiation,[status(thm)],[c_4084]) ).
tcf(c_10174,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X1)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),X0)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(global_subsumption_just,[status(thm)],[c_6825,c_82,c_80,c_78,c_142,c_168,c_4077,c_4080,c_6759,c_8861,c_8864,c_9526]) ).
tcf(c_10189,plain,
( ( sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = sdtpldt0(xN,xN) )
| ~ aScalar0(xN)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN) ),
inference(superposition,[status(thm)],[c_96,c_10174]) ).
tcf(c_10254,plain,
sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)) = sdtpldt0(xN,xN),
inference(forward_subsumption_resolution,[status(thm)],[c_10189,c_84,c_87]) ).
tcf(c_10527,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(xN,xN)),
inference(demodulation,[status(thm)],[c_97,c_10254]) ).
tcf(c_10740,plain,
( ~ aScalar0(xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN) ),
inference(superposition,[status(thm)],[c_101,c_10527]) ).
tcf(c_10741,plain,
~ aScalar0(sdtasdt0(xP,xP)),
inference(forward_subsumption_resolution,[status(thm)],[c_10740,c_84,c_87]) ).
tcf(c_10742,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10741,c_8861,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG065+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Thu Sep 24 08:03:06 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.29 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.32 Running first-order theorem proving
% 0.02/0.32 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
% 0.02/0.32
% 0.02/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.32
% 0.02/0.32 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 4.27/1.08 % SZS status Started for theBenchmark.p
% 4.27/1.08 % SZS status Theorem for theBenchmark.p
% 4.27/1.08
% 4.27/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.27/1.08
% 4.27/1.08 % ------ iProver source info
% 4.27/1.08
% 4.27/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 4.27/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.27/1.08 % git: non_committed_changes: false
% 4.27/1.08
% 4.27/1.08 % ------ Parsing...
% 4.27/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.27/1.08
% 4.27/1.08 % ------ Preprocessing... sup_sim: 2 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 %
% 4.27/1.08
% 4.27/1.08 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.27/1.08
% 4.27/1.08 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 4.27/1.08 % ------ Proving...
% 4.27/1.08 % ------ Problem Properties
% 4.27/1.08
% 4.27/1.08 %
% 4.27/1.08 % clauses 102
% 4.27/1.08 % conjectures 1
% 4.27/1.08 % EPR 25
% 4.27/1.08 % Horn 90
% 4.27/1.08 % unary 49
% 4.27/1.08 % binary 19
% 4.27/1.08 % lits 236
% 4.27/1.08 % lits eq 78
% 4.27/1.08 % fd_pure 0
% 4.27/1.08 % fd_pseudo 0
% 4.27/1.08 % fd_cond 1
% 4.27/1.08 % fd_pseudo_cond 5
% 4.27/1.08 % AC symbols 0
% 4.27/1.08
% 4.27/1.08 % ------ Schedule dynamic 5 is on
% 4.27/1.08
% 4.27/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.27/1.08
% 4.27/1.08
% 4.27/1.08 % ------
% 4.27/1.08 % Current options:
% 4.27/1.08 % ------
% 4.27/1.08
% 4.27/1.08
% 4.27/1.08 %
% 4.27/1.08
% 4.27/1.08 % ------ Proving...
% 4.27/1.08 %
% 4.27/1.08
% 4.27/1.08 % SZS status Theorem for theBenchmark.p
% 4.27/1.08
% 4.27/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.27/1.08
% 4.27/1.08
%------------------------------------------------------------------------------