%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG083+1 : 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 : n009.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 02:38:47 PM UTC 2026
% Result : Theorem 30.07s 8.39s
% Output : CNFRefutation 30.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 107 ( 37 unt; 0 def)
% Number of atoms : 227 ( 99 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 218 ( 98 ~; 92 |; 19 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 99 ( 0 sgn 99 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sdtpldt0(X0,smndt0(X0)) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& sdtasdt0(smndt0(sz10),X0) = smndt0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f16,axiom,
aElement0(xx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__468) ).
fof(f17,conjecture,
( sz00 = sdtasdt0(sz00,xx)
& sdtasdt0(xx,sz00) = sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f18,negated_conjecture,
~ ( sz00 = sdtasdt0(sz00,xx)
& sdtasdt0(xx,sz00) = sz00 ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f20,plain,
! [X0] :
( ~ aElement0(X0)
| aElement0(smndt0(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f24,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f23]) ).
fof(f29,plain,
! [X0] :
( ~ aElement0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0] :
( ~ aElement0(X0)
| ( sz00 = sdtpldt0(smndt0(X0),X0)
& sdtpldt0(X0,smndt0(X0)) = sz00 ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ~ aElement0(X0)
| ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0] :
( ~ aElement0(X0)
| ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& sdtasdt0(smndt0(sz10),X0) = smndt0(X0) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f39,plain,
( sz00 != sdtasdt0(sz00,xx)
| sz00 != sdtasdt0(xx,sz00) ),
inference(ennf_transformation,[],[f18]) ).
fof(f40,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f41,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
! [X0] :
( ~ aElement0(X0)
| aElement0(smndt0(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f44,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f29]) ).
fof(f49,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f51,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f54,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f58,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f59,plain,
aElement0(xx),
inference(cnf_transformation,[],[f16]) ).
fof(f60,plain,
( sz00 != sdtasdt0(sz00,xx)
| sz00 != sdtasdt0(xx,sz00) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_49,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f40]) ).
tcf(c_50,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f41]) ).
tcf(c_51,plain,
! [X0: $i] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_56,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_57,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_59,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),X0) = sz00 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = X0 )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) = sdtasdt0(X0,sdtpldt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_66,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_68,plain,
aElement0(xx),
inference(cnf_transformation,[],[f59]) ).
tcf(c_69,negated_conjecture,
( ( sdtasdt0(xx,sz00) != sz00 )
| ( sdtasdt0(sz00,xx) != sz00 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_525,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz00) = smndt0(X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_56]) ).
tcf(c_577,plain,
sdtpldt0(smndt0(sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_59]) ).
tcf(c_682,plain,
sdtpldt0(smndt0(sz00),sz00) = smndt0(sz00),
inference(superposition,[status(thm)],[c_49,c_525]) ).
tcf(c_688,plain,
smndt0(sz00) = sz00,
inference(demodulation,[status(thm)],[c_682,c_577]) ).
tcf(c_19365,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(superposition,[status(thm)],[c_50,c_56]) ).
tcf(c_19401,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_57]) ).
tcf(c_19421,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) = sz00 )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_53,c_59]) ).
tcf(c_19428,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_60]) ).
tcf(c_19438,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),X1) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_61]) ).
tcf(c_19440,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(X0),X1),X2) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_51,c_61]) ).
tcf(c_19446,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(superposition,[status(thm)],[c_49,c_62]) ).
tcf(c_19451,plain,
sdtasdt0(xx,sz10) = xx,
inference(superposition,[status(thm)],[c_68,c_62]) ).
tcf(c_19469,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1)) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_64]) ).
tcf(c_19474,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xx,X0),sdtasdt0(xx,X1)) = sdtasdt0(xx,sdtpldt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_68,c_64]) ).
tcf(c_19487,plain,
sdtasdt0(smndt0(sz10),sz00) = smndt0(sz00),
inference(superposition,[status(thm)],[c_49,c_66]) ).
tcf(c_19493,plain,
sdtasdt0(smndt0(sz10),sz00) = sz00,
inference(demodulation,[status(thm)],[c_19487,c_688]) ).
tcf(c_19682,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,X0)) = sdtasdt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_19401]) ).
tcf(c_19733,plain,
sdtasdt0(sz00,xx) = sdtasdt0(xx,sz00),
inference(superposition,[status(thm)],[c_68,c_19428]) ).
tcf(c_19763,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(sz00,X0)),sdtasdt0(sz00,X0)) = sz00 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_19421]) ).
tcf(c_19802,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(sz00,sz00),X0) = sdtasdt0(sz00,sdtasdt0(sz00,X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_19438]) ).
tcf(c_19826,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(sz10),X0),X1) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1)) )
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_50,c_19440]) ).
tcf(c_19952,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,sz10),sdtasdt0(sz00,X0)) = sdtasdt0(sz00,sdtpldt0(sz10,X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_50,c_19469]) ).
tcf(c_19956,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(sz00,xx),sdtasdt0(sz00,X0)) = sdtasdt0(sz00,sdtpldt0(xx,X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_68,c_19469]) ).
tcf(c_19957,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,sdtasdt0(sz00,X0)) = sdtasdt0(sz00,sdtpldt0(sz10,X0)) )
| ~ aElement0(X0) ),
inference(demodulation,[status(thm)],[c_19952,c_19446]) ).
tcf(c_20007,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xx,sz10),sdtasdt0(xx,X0)) = sdtasdt0(xx,sdtpldt0(sz10,X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_50,c_19474]) ).
tcf(c_20012,plain,
! [X0: $i] :
( ( sdtpldt0(xx,sdtasdt0(xx,X0)) = sdtasdt0(xx,sdtpldt0(sz10,X0)) )
| ~ aElement0(X0) ),
inference(demodulation,[status(thm)],[c_20007,c_19451]) ).
tcf(c_20752,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sz00)) = sdtasdt0(sz00,sz00),
inference(superposition,[status(thm)],[c_49,c_19682]) ).
tcf(c_22081,plain,
sdtpldt0(smndt0(sdtasdt0(sz00,xx)),sdtasdt0(sz00,xx)) = sz00,
inference(superposition,[status(thm)],[c_68,c_19763]) ).
tcf(c_22400,plain,
sdtasdt0(sdtasdt0(sz00,sz00),xx) = sdtasdt0(sz00,sdtasdt0(sz00,xx)),
inference(superposition,[status(thm)],[c_68,c_19802]) ).
tcf(c_22405,plain,
( aElement0(sdtasdt0(sz00,sdtasdt0(sz00,xx)))
| ~ aElement0(xx)
| ~ aElement0(sdtasdt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_22400,c_53]) ).
tcf(c_22406,plain,
( aElement0(sdtasdt0(sz00,sdtasdt0(sz00,xx)))
| ~ aElement0(sdtasdt0(sz00,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22405,c_68]) ).
tcf(c_23021,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(sz10),sz00),X0) = sdtasdt0(smndt0(sz10),sdtasdt0(sz00,X0)) )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_49,c_19826]) ).
tcf(c_23034,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz10),sdtasdt0(sz00,X0)) = sdtasdt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(demodulation,[status(thm)],[c_23021,c_19493]) ).
tcf(c_24099,plain,
sdtasdt0(smndt0(sz10),sdtasdt0(sz00,xx)) = sdtasdt0(sz00,xx),
inference(superposition,[status(thm)],[c_68,c_23034]) ).
tcf(c_24310,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sz00)) = sdtasdt0(sz00,sdtpldt0(sz10,sz00)),
inference(superposition,[status(thm)],[c_49,c_19957]) ).
tcf(c_24325,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(demodulation,[status(thm)],[c_24310,c_19365,c_19446,c_20752]) ).
tcf(c_24329,plain,
sdtasdt0(sz00,sdtasdt0(sz00,xx)) = sdtasdt0(sz00,xx),
inference(superposition,[status(thm)],[c_24325,c_22400]) ).
tcf(c_24341,plain,
( aElement0(sdtasdt0(sz00,xx))
| ~ aElement0(sdtasdt0(sz00,sz00)) ),
inference(superposition,[status(thm)],[c_24329,c_22406]) ).
tcf(c_24342,plain,
( aElement0(sdtasdt0(sz00,xx))
| ~ aElement0(sz00) ),
inference(demodulation,[status(thm)],[c_24341,c_24325]) ).
tcf(c_24343,plain,
aElement0(sdtasdt0(sz00,xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_24342,c_49]) ).
tcf(c_24879,plain,
sdtasdt0(smndt0(sz10),sdtasdt0(sz00,xx)) = smndt0(sdtasdt0(sz00,xx)),
inference(superposition,[status(thm)],[c_24343,c_66]) ).
tcf(c_24892,plain,
smndt0(sdtasdt0(sz00,xx)) = sdtasdt0(sz00,xx),
inference(demodulation,[status(thm)],[c_24879,c_24099]) ).
tcf(c_24936,plain,
sdtpldt0(sdtasdt0(sz00,xx),sdtasdt0(sz00,xx)) = sz00,
inference(superposition,[status(thm)],[c_24892,c_22081]) ).
tcf(c_25899,plain,
sdtpldt0(sdtasdt0(sz00,xx),sdtasdt0(sz00,sdtasdt0(sz00,xx))) = sdtasdt0(sz00,sdtpldt0(xx,sdtasdt0(sz00,xx))),
inference(superposition,[status(thm)],[c_24343,c_19956]) ).
tcf(c_25911,plain,
sdtasdt0(sz00,sdtpldt0(xx,sdtasdt0(sz00,xx))) = sz00,
inference(demodulation,[status(thm)],[c_25899,c_24329,c_24936]) ).
tcf(c_26600,plain,
sdtpldt0(xx,sdtasdt0(xx,sz00)) = sdtasdt0(xx,sdtpldt0(sz10,sz00)),
inference(superposition,[status(thm)],[c_49,c_20012]) ).
tcf(c_26620,plain,
sdtpldt0(xx,sdtasdt0(sz00,xx)) = xx,
inference(demodulation,[status(thm)],[c_26600,c_19365,c_19451,c_19733]) ).
tcf(c_26627,plain,
sdtasdt0(sz00,xx) = sz00,
inference(superposition,[status(thm)],[c_26620,c_25911]) ).
tcf(c_26704,plain,
sdtasdt0(xx,sz00) != sz00,
inference(superposition,[status(thm)],[c_26627,c_69]) ).
tcf(c_26705,plain,
sz00 != sz00,
inference(demodulation,[status(thm)],[c_26704,c_19733,c_26627]) ).
tcf(c_26706,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_26705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG083+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 % Computer : n009.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Thu Sep 24 08:08:28 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 0.13/0.45
% 0.13/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.45
% 0.13/0.45 % Detected problem language: tptp
% 0.19/0.46 % Proving...
% 30.07/8.39 % SZS status Started for theBenchmark.p
% 30.07/8.39 % SZS status Theorem for theBenchmark.p
% 30.07/8.39
% 30.07/8.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 30.07/8.39
% 30.07/8.39 % ------ iProver source info
% 30.07/8.39
% 30.07/8.39 % git: date: 2026-07-19 20:42:38 +0200
% 30.07/8.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 30.07/8.39 % git: non_committed_changes: false
% 30.07/8.39
% 30.07/8.39 % ------ Parsing...
% 30.07/8.39 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 30.07/8.39
% 30.07/8.39 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 30.07/8.39
% 30.07/8.39 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 30.07/8.39
% 30.07/8.39 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 30.07/8.39 % ------ Proving...
% 30.07/8.39 % ------ Problem Properties
% 30.07/8.39
% 30.07/8.39 %
% 30.07/8.39 % clauses 21
% 30.07/8.39 % conjectures 1
% 30.07/8.39 % EPR 3
% 30.07/8.39 % Horn 21
% 30.07/8.39 % unary 3
% 30.07/8.39 % binary 10
% 30.07/8.39 % lits 51
% 30.07/8.39 % lits eq 16
% 30.07/8.39 % fd_pure 0
% 30.07/8.39 % fd_pseudo 0
% 30.07/8.39 % fd_cond 0
% 30.07/8.39 % fd_pseudo_cond 0
% 30.07/8.39 % AC symbols 0
% 30.07/8.39
% 30.07/8.39 % ------ Input Options Time Limit: Unbounded
% 30.07/8.39
% 30.07/8.39
% 30.07/8.39 % ------
% 30.07/8.39 % Current options:
% 30.07/8.39 % ------
% 30.07/8.39
% 30.07/8.39
% 30.07/8.39 %
% 30.07/8.39
% 30.07/8.39 % ------ Proving...
% 30.07/8.39 %
% 30.07/8.39
% 30.07/8.39 % SZS status Theorem for theBenchmark.p
% 30.07/8.39
% 30.07/8.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 30.07/8.39
% 30.07/8.39
%------------------------------------------------------------------------------