TSTP Solution File: RNG083+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG083+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 02:57:34 EDT 2024
% Result : Theorem 20.55s 3.69s
% Output : CNFRefutation 20.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 107 ( 34 unt; 0 def)
% Number of atoms : 239 ( 96 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 241 ( 109 ~; 104 |; 19 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% 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 : 112 ( 0 sgn 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f16,axiom,
aElement0(xx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__468) ).
fof(f17,conjecture,
( sz00 = sdtasdt0(sz00,xx)
& sz00 = sdtasdt0(xx,sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f18,negated_conjecture,
~ ( sz00 = sdtasdt0(sz00,xx)
& sz00 = sdtasdt0(xx,sz00) ),
inference(negated_conjecture,[],[f17]) ).
fof(f20,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f24,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f23]) ).
fof(f27,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f28,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0] :
( ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f36]) ).
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(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f44,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f46,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f51,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f52,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f54,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f59,plain,
aElement0(xx),
inference(cnf_transformation,[],[f16]) ).
fof(f60,plain,
( sz00 != sdtasdt0(sz00,xx)
| sz00 != sdtasdt0(xx,sz00) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_49,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f40]) ).
cnf(c_50,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f41]) ).
cnf(c_51,plain,
( ~ aElement0(X0)
| aElement0(smndt0(X0)) ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_53,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_55,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_56,plain,
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_57,plain,
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_58,plain,
( ~ aElement0(X0)
| sdtpldt0(smndt0(X0),X0) = sz00 ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_60,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_61,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_62,plain,
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_64,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) = sdtasdt0(sdtpldt0(X1,X2),X0) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_68,plain,
aElement0(xx),
inference(cnf_transformation,[],[f59]) ).
cnf(c_69,negated_conjecture,
( sdtasdt0(sz00,xx) != sz00
| sdtasdt0(xx,sz00) != sz00 ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_19356,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(superposition,[status(thm)],[c_50,c_56]) ).
cnf(c_19358,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_53,c_56]) ).
cnf(c_19382,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtpldt0(sdtpldt0(smndt0(X0),X1),X2) = sdtpldt0(smndt0(X0),sdtpldt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_51,c_55]) ).
cnf(c_19389,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(superposition,[status(thm)],[c_50,c_57]) ).
cnf(c_19392,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_53,c_57]) ).
cnf(c_19403,plain,
sdtpldt0(smndt0(xx),xx) = sz00,
inference(superposition,[status(thm)],[c_68,c_58]) ).
cnf(c_19419,plain,
( ~ aElement0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_49,c_60]) ).
cnf(c_19429,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(sz00,X0),X1) = sdtasdt0(sz00,sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_49,c_61]) ).
cnf(c_19434,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(xx,X0),X1) = sdtasdt0(xx,sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_68,c_61]) ).
cnf(c_19437,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_62]) ).
cnf(c_19442,plain,
sdtasdt0(sz10,xx) = xx,
inference(superposition,[status(thm)],[c_68,c_62]) ).
cnf(c_19460,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00)) = sdtasdt0(sdtpldt0(X0,X1),sz00) ),
inference(superposition,[status(thm)],[c_49,c_64]) ).
cnf(c_19465,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X1,xx)) = sdtasdt0(sdtpldt0(X0,X1),xx) ),
inference(superposition,[status(thm)],[c_68,c_64]) ).
cnf(c_19515,plain,
( ~ aElement0(X0)
| sdtpldt0(sz00,sdtasdt0(sz00,X0)) = sdtasdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_49,c_19358]) ).
cnf(c_19627,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(smndt0(xx),X0),X1) = sdtpldt0(smndt0(xx),sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_68,c_19382]) ).
cnf(c_19673,plain,
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(sz00,X0),sz00) = sdtasdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_49,c_19392]) ).
cnf(c_19724,plain,
sdtasdt0(sz00,xx) = sdtasdt0(xx,sz00),
inference(superposition,[status(thm)],[c_68,c_19419]) ).
cnf(c_19726,plain,
sdtasdt0(xx,sz00) != sz00,
inference(superposition,[status(thm)],[c_19724,c_69]) ).
cnf(c_19794,plain,
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(sz00,sz00),X0) = sdtasdt0(sz00,sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_49,c_19429]) ).
cnf(c_19799,plain,
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(sz00,xx),X0) = sdtasdt0(sz00,sdtasdt0(xx,X0)) ),
inference(superposition,[status(thm)],[c_68,c_19429]) ).
cnf(c_19800,plain,
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(xx,sz00),X0) = sdtasdt0(sz00,sdtasdt0(xx,X0)) ),
inference(demodulation,[status(thm)],[c_19799,c_19724]) ).
cnf(c_19850,plain,
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(xx,sz00),X0) = sdtasdt0(xx,sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_49,c_19434]) ).
cnf(c_19933,plain,
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(sz00,X0),sz00) ),
inference(superposition,[status(thm)],[c_49,c_19460]) ).
cnf(c_19989,plain,
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(sz10,xx),sdtasdt0(X0,xx)) = sdtasdt0(sdtpldt0(sz10,X0),xx) ),
inference(superposition,[status(thm)],[c_50,c_19465]) ).
cnf(c_19994,plain,
( ~ aElement0(X0)
| sdtpldt0(xx,sdtasdt0(X0,xx)) = sdtasdt0(sdtpldt0(sz10,X0),xx) ),
inference(demodulation,[status(thm)],[c_19989,c_19442]) ).
cnf(c_20106,plain,
sdtpldt0(sz00,sdtasdt0(sz00,xx)) = sdtasdt0(sz00,xx),
inference(superposition,[status(thm)],[c_68,c_19515]) ).
cnf(c_20107,plain,
sdtpldt0(sz00,sdtasdt0(xx,sz00)) = sdtasdt0(xx,sz00),
inference(demodulation,[status(thm)],[c_20106,c_19724]) ).
cnf(c_20747,plain,
sdtpldt0(sdtasdt0(sz00,sz00),sz00) = sdtasdt0(sz00,sz00),
inference(superposition,[status(thm)],[c_49,c_19673]) ).
cnf(c_20860,plain,
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(smndt0(xx),xx),X0) = sdtpldt0(smndt0(xx),sdtpldt0(xx,X0)) ),
inference(superposition,[status(thm)],[c_68,c_19627]) ).
cnf(c_20862,plain,
( ~ aElement0(X0)
| sdtpldt0(smndt0(xx),sdtpldt0(xx,X0)) = sdtpldt0(sz00,X0) ),
inference(demodulation,[status(thm)],[c_20860,c_19403]) ).
cnf(c_23217,plain,
sdtasdt0(sdtasdt0(sz00,sz00),xx) = sdtasdt0(sz00,sdtasdt0(sz00,xx)),
inference(superposition,[status(thm)],[c_68,c_19794]) ).
cnf(c_23224,plain,
sdtasdt0(sdtasdt0(sz00,sz00),xx) = sdtasdt0(sz00,sdtasdt0(xx,sz00)),
inference(demodulation,[status(thm)],[c_23217,c_19724]) ).
cnf(c_23229,plain,
( ~ aElement0(sdtasdt0(sz00,sz00))
| ~ aElement0(xx)
| aElement0(sdtasdt0(sz00,sdtasdt0(xx,sz00))) ),
inference(superposition,[status(thm)],[c_23224,c_53]) ).
cnf(c_23230,plain,
( ~ aElement0(sdtasdt0(sz00,sz00))
| aElement0(sdtasdt0(sz00,sdtasdt0(xx,sz00))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23229,c_68]) ).
cnf(c_23525,plain,
sdtasdt0(sdtasdt0(xx,sz00),sz00) = sdtasdt0(sz00,sdtasdt0(xx,sz00)),
inference(superposition,[status(thm)],[c_49,c_19800]) ).
cnf(c_24311,plain,
sdtasdt0(sdtasdt0(xx,sz00),sz00) = sdtasdt0(xx,sdtasdt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_49,c_19850]) ).
cnf(c_24330,plain,
sdtasdt0(sz00,sdtasdt0(xx,sz00)) = sdtasdt0(xx,sdtasdt0(sz00,sz00)),
inference(superposition,[status(thm)],[c_24311,c_23525]) ).
cnf(c_24336,plain,
( ~ aElement0(sdtasdt0(sz00,sz00))
| aElement0(sdtasdt0(xx,sdtasdt0(sz00,sz00))) ),
inference(superposition,[status(thm)],[c_24330,c_23230]) ).
cnf(c_26175,plain,
sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(sz10,sz00)) = sdtasdt0(sdtpldt0(sz00,sz10),sz00),
inference(superposition,[status(thm)],[c_50,c_19933]) ).
cnf(c_26193,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(demodulation,[status(thm)],[c_26175,c_19356,c_19437,c_20747]) ).
cnf(c_26200,plain,
( ~ aElement0(sdtasdt0(sz00,sz00))
| aElement0(sdtasdt0(xx,sz00)) ),
inference(superposition,[status(thm)],[c_26193,c_24336]) ).
cnf(c_26209,plain,
( ~ aElement0(sz00)
| aElement0(sdtasdt0(xx,sz00)) ),
inference(demodulation,[status(thm)],[c_26200,c_26193]) ).
cnf(c_26210,plain,
aElement0(sdtasdt0(xx,sz00)),
inference(forward_subsumption_resolution,[status(thm)],[c_26209,c_49]) ).
cnf(c_26626,plain,
sdtpldt0(smndt0(xx),sdtpldt0(xx,sdtasdt0(xx,sz00))) = sdtpldt0(sz00,sdtasdt0(xx,sz00)),
inference(superposition,[status(thm)],[c_26210,c_20862]) ).
cnf(c_26896,plain,
sdtpldt0(smndt0(xx),sdtpldt0(xx,sdtasdt0(xx,sz00))) = sdtasdt0(xx,sz00),
inference(demodulation,[status(thm)],[c_26626,c_20107]) ).
cnf(c_33165,plain,
sdtpldt0(xx,sdtasdt0(sz00,xx)) = sdtasdt0(sdtpldt0(sz10,sz00),xx),
inference(superposition,[status(thm)],[c_49,c_19994]) ).
cnf(c_33195,plain,
sdtpldt0(xx,sdtasdt0(xx,sz00)) = xx,
inference(demodulation,[status(thm)],[c_33165,c_19389,c_19442,c_19724]) ).
cnf(c_33215,plain,
sdtpldt0(smndt0(xx),xx) = sdtasdt0(xx,sz00),
inference(superposition,[status(thm)],[c_33195,c_26896]) ).
cnf(c_33223,plain,
sdtasdt0(xx,sz00) = sz00,
inference(demodulation,[status(thm)],[c_33215,c_19403]) ).
cnf(c_33224,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_33223,c_19726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG083+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n016.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 21:58:45 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.55/3.69 % SZS status Started for theBenchmark.p
% 20.55/3.69 % SZS status Theorem for theBenchmark.p
% 20.55/3.69
% 20.55/3.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.55/3.69
% 20.55/3.69 ------ iProver source info
% 20.55/3.69
% 20.55/3.69 git: date: 2024-05-02 19:28:25 +0000
% 20.55/3.69 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 20.55/3.69 git: non_committed_changes: false
% 20.55/3.69
% 20.55/3.69 ------ Parsing...
% 20.55/3.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 20.55/3.69
% 20.55/3.69 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 20.55/3.69
% 20.55/3.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.55/3.69
% 20.55/3.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 20.55/3.69 ------ Proving...
% 20.55/3.69 ------ Problem Properties
% 20.55/3.69
% 20.55/3.69
% 20.55/3.69 clauses 21
% 20.55/3.69 conjectures 1
% 20.55/3.69 EPR 3
% 20.55/3.69 Horn 21
% 20.55/3.69 unary 3
% 20.55/3.69 binary 10
% 20.55/3.69 lits 51
% 20.55/3.69 lits eq 16
% 20.55/3.69 fd_pure 0
% 20.55/3.69 fd_pseudo 0
% 20.55/3.69 fd_cond 0
% 20.55/3.69 fd_pseudo_cond 0
% 20.55/3.69 AC symbols 0
% 20.55/3.69
% 20.55/3.69 ------ Input Options Time Limit: Unbounded
% 20.55/3.69
% 20.55/3.69
% 20.55/3.69 ------
% 20.55/3.69 Current options:
% 20.55/3.69 ------
% 20.55/3.69
% 20.55/3.69
% 20.55/3.69
% 20.55/3.69
% 20.55/3.69 ------ Proving...
% 20.55/3.69
% 20.55/3.69
% 20.55/3.69 % SZS status Theorem for theBenchmark.p
% 20.55/3.69
% 20.55/3.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.55/3.69
% 20.55/3.70
%------------------------------------------------------------------------------