%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG079+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 02:38:45 PM UTC 2026
% Result : Theorem 18.95s 28.61s
% Output : CNFRefutation 18.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 66 ( 26 unt; 0 def)
% Number of atoms : 173 ( 62 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 194 ( 87 ~; 83 |; 21 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 72 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr2) ).
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(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f60,axiom,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2905) ).
fof(f61,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f62,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f68,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(flattening,[],[f62]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f75]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
inference(flattening,[],[f81]) ).
fof(f85,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(ennf_transformation,[],[f16]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(flattening,[],[f85]) ).
fof(f137,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f199,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f201,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f203,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f205,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f207,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f209,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f222,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(cnf_transformation,[],[f60]) ).
fof(f223,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(cnf_transformation,[],[f68]) ).
tcf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f137]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_117,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f199]) ).
tcf(c_119,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f201]) ).
tcf(c_121,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f203]) ).
tcf(c_123,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f205]) ).
tcf(c_125,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f207]) ).
tcf(c_127,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f209]) ).
tcf(c_141,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(cnf_transformation,[],[f222]) ).
tcf(c_142,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(cnf_transformation,[],[f223]) ).
tcf(c_280,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X3_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0_iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2),sdtasdt0(X0_iProver_sdtlseqdt0_2,X3_iProver_sdtlseqdt0_2)),sdtpldt0(sdtasdt0(X1_iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2),sdtasdt0(X1_iProver_sdtlseqdt0_2,X3_iProver_sdtlseqdt0_2))) = sdtasdt0(sdtpldt0(X0_iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2),sdtpldt0(X2_iProver_sdtlseqdt0_2,X3_iProver_sdtlseqdt0_2)) )
| ~ aScalar0(X3_iProver_sdtlseqdt0_2)
| ~ aScalar0(X2_iProver_sdtlseqdt0_2)
| ~ aScalar0(X1_iProver_sdtlseqdt0_2)
| ~ aScalar0(X0_iProver_sdtlseqdt0_2) ),
inference(subtyping,[status(esa)],[c_74]) ).
tcf(c_283,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( sdtasdt0(X0_iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2) = sdtasdt0(X1_iProver_sdtlseqdt0_2,X0_iProver_sdtlseqdt0_2) )
| ~ aScalar0(X2_iProver_sdtlseqdt0_2)
| ~ aScalar0(X1_iProver_sdtlseqdt0_2)
| ~ aScalar0(X0_iProver_sdtlseqdt0_2) ),
inference(subtyping,[status(esa)],[c_71]) ).
tcf(c_296,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( aScalar0(sdtpldt0(X0_iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2))
| ~ aScalar0(X1_iProver_sdtlseqdt0_2)
| ~ aScalar0(X0_iProver_sdtlseqdt0_2) ),
inference(subtyping,[status(esa)],[c_57]) ).
tcf(c_306,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] : X0_iProver_sdtlseqdt0_2 = X0_iProver_sdtlseqdt0_2,
theory(equality) ).
tcf(c_309,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( X2_iProver_sdtlseqdt0_2 = X0_iProver_sdtlseqdt0_2 )
| ( X2_iProver_sdtlseqdt0_2 != X1_iProver_sdtlseqdt0_2 )
| ( X0_iProver_sdtlseqdt0_2 != X1_iProver_sdtlseqdt0_2 ) ),
theory(equality) ).
tcf(c_320,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X3_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( sdtlseqdt0(X0_iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2)
| ~ sdtlseqdt0(X1_iProver_sdtlseqdt0_2,X3_iProver_sdtlseqdt0_2)
| ( X2_iProver_sdtlseqdt0_2 != X3_iProver_sdtlseqdt0_2 )
| ( X0_iProver_sdtlseqdt0_2 != X1_iProver_sdtlseqdt0_2 ) ),
theory(equality) ).
tcf(c_391,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| ~ sdtlseqdt0(X1_iProver_sdtlseqdt0_2,X0_iProver_sdtlseqdt0_2)
| ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) != X1_iProver_sdtlseqdt0_2 )
| ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) != X0_iProver_sdtlseqdt0_2 ) ),
inference(instantiation,[status(thm)],[c_320]) ).
tcf(c_415,plain,
( aScalar0(sdtpldt0(xE,xH))
| ~ aScalar0(xH)
| ~ aScalar0(xE) ),
inference(instantiation,[status(thm)],[c_296]) ).
tcf(c_453,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) )
| ~ aScalar0(X0_iProver_sdtlseqdt0_2)
| ~ aScalar0(sdtpldt0(xE,xH)) ),
inference(instantiation,[status(thm)],[c_283]) ).
tcf(c_455,plain,
( ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) )
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(xE,xH)) ),
inference(instantiation,[status(thm)],[c_453]) ).
tcf(c_457,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = X1_iProver_sdtlseqdt0_2 )
| ( X1_iProver_sdtlseqdt0_2 != X0_iProver_sdtlseqdt0_2 )
| ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) != X0_iProver_sdtlseqdt0_2 ) ),
inference(instantiation,[status(thm)],[c_309]) ).
tcf(c_641,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = X0_iProver_sdtlseqdt0_2 )
| ( X0_iProver_sdtlseqdt0_2 != sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) )
| ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) != sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) ) ),
inference(instantiation,[status(thm)],[c_457]) ).
tcf(c_716,plain,
sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) = sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)),
inference(instantiation,[status(thm)],[c_306]) ).
tcf(c_718,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) = X1_iProver_sdtlseqdt0_2 )
| ( X1_iProver_sdtlseqdt0_2 != X0_iProver_sdtlseqdt0_2 )
| ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) != X0_iProver_sdtlseqdt0_2 ) ),
inference(instantiation,[status(thm)],[c_309]) ).
tcf(c_1263,plain,
( ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) )
| ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) != sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) )
| ( sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) ) ),
inference(instantiation,[status(thm)],[c_641]) ).
tcf(c_1264,plain,
( ( sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) )
| ~ aScalar0(xH)
| ~ aScalar0(xE) ),
inference(instantiation,[status(thm)],[c_280]) ).
tcf(c_1685,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) = X0_iProver_sdtlseqdt0_2 )
| ( X0_iProver_sdtlseqdt0_2 != sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) )
| ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) != sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) ) ),
inference(instantiation,[status(thm)],[c_718]) ).
tcf(c_4012,plain,
! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),X0_iProver_sdtlseqdt0_2)
| ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) != sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) )
| ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) != X0_iProver_sdtlseqdt0_2 ) ),
inference(instantiation,[status(thm)],[c_391]) ).
tcf(c_4573,plain,
( ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) = sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))) )
| ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) != sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) )
| ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))) != sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) ) ),
inference(instantiation,[status(thm)],[c_1685]) ).
tcf(c_4574,plain,
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))) = sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) )
| ~ aScalar0(xG)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ aScalar0(xC) ),
inference(instantiation,[status(thm)],[c_280]) ).
tcf(c_14062,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))))
| ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) != sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) )
| ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) != sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))) ) ),
inference(instantiation,[status(thm)],[c_4012]) ).
tcf(c_14068,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_14062,c_4574,c_4573,c_1264,c_1263,c_716,c_455,c_415,c_141,c_142,c_56,c_117,c_119,c_121,c_123,c_125,c_127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG079+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.34/25.71 % CPULimit : 300
% 0.34/25.71 % WCLimit : 300
% 0.34/25.71 % DateTime : Thu Sep 24 08:07:36 UTC 2026
% 0.34/25.71 % CPUTime :
% 0.34/25.71 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.34/25.75 Running first-order theorem proving
% 0.34/25.75 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/25.76
% 0.34/25.76 % ======== iProver multi-core TPTP/SMT =========
% 0.34/25.76
% 0.34/25.76 % Detected problem language: tptp
% 0.34/25.77 % Proving...
% 18.95/28.61 % SZS status Started for theBenchmark.p
% 18.95/28.61 % SZS status Theorem for theBenchmark.p
% 18.95/28.61
% 18.95/28.61 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.95/28.61
% 18.95/28.61 % ------ iProver source info
% 18.95/28.61
% 18.95/28.61 % git: date: 2026-07-19 20:42:38 +0200
% 18.95/28.61 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.95/28.61 % git: non_committed_changes: false
% 18.95/28.61
% 18.95/28.61 % ------ Parsing...
% 18.95/28.61 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.95/28.61
% 18.95/28.61 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e %
% 18.95/28.61
% 18.95/28.61 % ------ Preprocessing...%
% 18.95/28.61
% 18.95/28.61 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.95/28.61 % ------ Proving...
% 18.95/28.61 % ------ Problem Properties
% 18.95/28.61
% 18.95/28.61 %
% 18.95/28.61 % clauses 94
% 18.95/28.61 % conjectures 3
% 18.95/28.61 % EPR 22
% 18.95/28.61 % Horn 84
% 18.95/28.61 % unary 43
% 18.95/28.61 % binary 17
% 18.95/28.61 % lits 226
% 18.95/28.61 % lits eq 71
% 18.95/28.61 % fd_pure 0
% 18.95/28.61 % fd_pseudo 0
% 18.95/28.61 % fd_cond 1
% 18.95/28.61 % fd_pseudo_cond 5
% 18.95/28.61 % AC symbols 0
% 18.95/28.61
% 18.95/28.61 % ------ Input Options Time Limit: Unbounded
% 18.95/28.61
% 18.95/28.61
% 18.95/28.61 % ------
% 18.95/28.61 % Current options:
% 18.95/28.61 % ------
% 18.95/28.61
% 18.95/28.61
% 18.95/28.61 %
% 18.95/28.61
% 18.95/28.61 % ------ Proving...
% 18.95/28.61 %
% 18.95/28.61
% 18.95/28.61 % SZS status Theorem for theBenchmark.p
% 18.95/28.61
% 18.95/28.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.95/28.61
% 18.95/28.61
%------------------------------------------------------------------------------