TSTP Solution File: RNG083+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG083+1 : TPTP v8.2.0. 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 : Mon Jun 24 14:03:59 EDT 2024
% Result : Theorem 69.29s 10.27s
% Output : CNFRefutation 69.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
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(f21,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f22,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f21]) ).
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(f25,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f26,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f25]) ).
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(f43,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f44,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f26]) ).
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_52,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_53,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_54,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
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_241,plain,
sdtasdt0(sz00,xx) = sP0_iProver_def,
definition ).
cnf(c_242,plain,
sdtasdt0(xx,sz00) = sP1_iProver_def,
definition ).
cnf(c_243,negated_conjecture,
( sP0_iProver_def != sz00
| sP1_iProver_def != sz00 ),
inference(demodulation,[status(thm)],[c_69,c_242,c_241]) ).
cnf(c_1699,plain,
( ~ aElement0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_49,c_60]) ).
cnf(c_2047,plain,
sdtasdt0(sz00,xx) = sdtasdt0(xx,sz00),
inference(superposition,[status(thm)],[c_68,c_1699]) ).
cnf(c_2050,plain,
sP0_iProver_def = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_2047,c_241,c_242]) ).
cnf(c_17731,plain,
( ~ aElement0(sz00)
| ~ aElement0(xx)
| aElement0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_241,c_53]) ).
cnf(c_17732,plain,
aElement0(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_17731,c_68,c_49]) ).
cnf(c_17733,plain,
sdtasdt0(xx,sz00) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_242,c_2050]) ).
cnf(c_17737,plain,
sz00 != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_243,c_2050]) ).
cnf(c_17753,plain,
( ~ aElement0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(xx,X0) ),
inference(superposition,[status(thm)],[c_68,c_54]) ).
cnf(c_17759,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sz00,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_49,c_55]) ).
cnf(c_17761,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_17764,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(xx,X0),X1) = sdtpldt0(xx,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_68,c_55]) ).
cnf(c_17765,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(sP0_iProver_def,X0),X1) = sdtpldt0(sP0_iProver_def,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_17732,c_55]) ).
cnf(c_17772,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_53,c_56]) ).
cnf(c_17774,plain,
sdtpldt0(sz00,sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_17732,c_56]) ).
cnf(c_17781,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(superposition,[status(thm)],[c_50,c_57]) ).
cnf(c_17797,plain,
sdtpldt0(smndt0(xx),xx) = sz00,
inference(superposition,[status(thm)],[c_68,c_58]) ).
cnf(c_17804,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_62]) ).
cnf(c_17809,plain,
sdtasdt0(sz10,xx) = xx,
inference(superposition,[status(thm)],[c_68,c_62]) ).
cnf(c_17846,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_17864,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_17869,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_17971,plain,
sdtpldt0(xx,sP0_iProver_def) = sdtpldt0(sP0_iProver_def,xx),
inference(superposition,[status(thm)],[c_17732,c_17753]) ).
cnf(c_17991,plain,
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(sz00,sP0_iProver_def),X0) = sdtpldt0(sz00,sdtpldt0(sP0_iProver_def,X0)) ),
inference(superposition,[status(thm)],[c_17732,c_17759]) ).
cnf(c_17992,plain,
( ~ aElement0(X0)
| sdtpldt0(sz00,sdtpldt0(sP0_iProver_def,X0)) = sdtpldt0(sP0_iProver_def,X0) ),
inference(demodulation,[status(thm)],[c_17991,c_17774]) ).
cnf(c_18018,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(smndt0(xx),X0),X1) = sdtpldt0(smndt0(xx),sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_68,c_17761]) ).
cnf(c_18054,plain,
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(xx,sP0_iProver_def),X0) = sdtpldt0(xx,sdtpldt0(sP0_iProver_def,X0)) ),
inference(superposition,[status(thm)],[c_17732,c_17764]) ).
cnf(c_18055,plain,
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(sP0_iProver_def,xx),X0) = sdtpldt0(xx,sdtpldt0(sP0_iProver_def,X0)) ),
inference(demodulation,[status(thm)],[c_18054,c_17971]) ).
cnf(c_18065,plain,
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(sP0_iProver_def,xx),X0) = sdtpldt0(sP0_iProver_def,sdtpldt0(xx,X0)) ),
inference(superposition,[status(thm)],[c_68,c_17765]) ).
cnf(c_18105,plain,
( ~ aElement0(X0)
| sdtpldt0(sz00,sdtasdt0(sz00,X0)) = sdtasdt0(sz00,X0) ),
inference(superposition,[status(thm)],[c_49,c_17772]) ).
cnf(c_18364,plain,
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(xx,sz00),X0) = sdtasdt0(xx,sdtasdt0(sz00,X0)) ),
inference(superposition,[status(thm)],[c_49,c_17846]) ).
cnf(c_18373,plain,
( ~ aElement0(X0)
| sdtasdt0(xx,sdtasdt0(sz00,X0)) = sdtasdt0(sP0_iProver_def,X0) ),
inference(demodulation,[status(thm)],[c_18364,c_17733]) ).
cnf(c_18432,plain,
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(sz10,sz00),sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(sz10,X0),sz00) ),
inference(superposition,[status(thm)],[c_50,c_17864]) ).
cnf(c_18436,plain,
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(xx,X0),sz00) ),
inference(superposition,[status(thm)],[c_68,c_17864]) ).
cnf(c_18438,plain,
( ~ aElement0(X0)
| sdtpldt0(sP0_iProver_def,sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(xx,X0),sz00) ),
inference(demodulation,[status(thm)],[c_18436,c_17733]) ).
cnf(c_18439,plain,
( ~ aElement0(X0)
| sdtpldt0(sz00,sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(sz10,X0),sz00) ),
inference(demodulation,[status(thm)],[c_18432,c_17804]) ).
cnf(c_18494,plain,
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(sz10,xx),sdtasdt0(X0,xx)) = sdtasdt0(sdtpldt0(sz10,X0),xx) ),
inference(superposition,[status(thm)],[c_50,c_17869]) ).
cnf(c_18500,plain,
( ~ aElement0(X0)
| sdtpldt0(xx,sdtasdt0(X0,xx)) = sdtasdt0(sdtpldt0(sz10,X0),xx) ),
inference(demodulation,[status(thm)],[c_18494,c_17809]) ).
cnf(c_18803,plain,
sdtpldt0(sz00,sdtpldt0(sP0_iProver_def,sP0_iProver_def)) = sdtpldt0(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_17732,c_17992]) ).
cnf(c_19766,plain,
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(smndt0(xx),xx),X0) = sdtpldt0(smndt0(xx),sdtpldt0(xx,X0)) ),
inference(superposition,[status(thm)],[c_68,c_18018]) ).
cnf(c_19773,plain,
( ~ aElement0(X0)
| sdtpldt0(smndt0(xx),sdtpldt0(xx,X0)) = sdtpldt0(sz00,X0) ),
inference(demodulation,[status(thm)],[c_19766,c_17797]) ).
cnf(c_21452,plain,
sdtpldt0(sdtpldt0(sP0_iProver_def,xx),sP0_iProver_def) = sdtpldt0(xx,sdtpldt0(sP0_iProver_def,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_17732,c_18055]) ).
cnf(c_22438,plain,
sdtpldt0(sdtpldt0(sP0_iProver_def,xx),sP0_iProver_def) = sdtpldt0(sP0_iProver_def,sdtpldt0(xx,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_17732,c_18065]) ).
cnf(c_22456,plain,
sdtpldt0(sdtpldt0(sP0_iProver_def,xx),sP0_iProver_def) = sdtpldt0(sP0_iProver_def,sdtpldt0(sP0_iProver_def,xx)),
inference(demodulation,[status(thm)],[c_22438,c_17971]) ).
cnf(c_22475,plain,
sdtpldt0(xx,sdtpldt0(sP0_iProver_def,sP0_iProver_def)) = sdtpldt0(sP0_iProver_def,sdtpldt0(sP0_iProver_def,xx)),
inference(superposition,[status(thm)],[c_22456,c_21452]) ).
cnf(c_24031,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sz00)) = sdtasdt0(sz00,sz00),
inference(superposition,[status(thm)],[c_49,c_18105]) ).
cnf(c_36626,plain,
sdtasdt0(xx,sdtasdt0(sz00,sz00)) = sdtasdt0(sP0_iProver_def,sz00),
inference(superposition,[status(thm)],[c_49,c_18373]) ).
cnf(c_99376,plain,
sdtpldt0(sP0_iProver_def,sdtasdt0(xx,sz00)) = sdtasdt0(sdtpldt0(xx,xx),sz00),
inference(superposition,[status(thm)],[c_68,c_18438]) ).
cnf(c_99377,plain,
sdtpldt0(sP0_iProver_def,sdtasdt0(sP0_iProver_def,sz00)) = sdtasdt0(sdtpldt0(xx,sP0_iProver_def),sz00),
inference(superposition,[status(thm)],[c_17732,c_18438]) ).
cnf(c_99482,plain,
sdtpldt0(sP0_iProver_def,sdtasdt0(sP0_iProver_def,sz00)) = sdtasdt0(sdtpldt0(sP0_iProver_def,xx),sz00),
inference(demodulation,[status(thm)],[c_99377,c_17971]) ).
cnf(c_99483,plain,
sdtasdt0(sdtpldt0(xx,xx),sz00) = sdtpldt0(sP0_iProver_def,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_99376,c_17733]) ).
cnf(c_99706,plain,
( ~ aElement0(sdtpldt0(xx,xx))
| ~ aElement0(sz00)
| aElement0(sdtpldt0(sP0_iProver_def,sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_99483,c_53]) ).
cnf(c_99707,plain,
( ~ aElement0(sdtpldt0(xx,xx))
| aElement0(sdtpldt0(sP0_iProver_def,sP0_iProver_def)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99706,c_49]) ).
cnf(c_99710,plain,
( ~ aElement0(xx)
| aElement0(sdtpldt0(sP0_iProver_def,sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_52,c_99707]) ).
cnf(c_99711,plain,
aElement0(sdtpldt0(sP0_iProver_def,sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_99710,c_68]) ).
cnf(c_99786,plain,
sdtpldt0(smndt0(xx),sdtpldt0(xx,sdtpldt0(sP0_iProver_def,sP0_iProver_def))) = sdtpldt0(sz00,sdtpldt0(sP0_iProver_def,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_99711,c_19773]) ).
cnf(c_100071,plain,
sdtpldt0(smndt0(xx),sdtpldt0(sP0_iProver_def,sdtpldt0(sP0_iProver_def,xx))) = sdtpldt0(sP0_iProver_def,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_99786,c_18803,c_22475]) ).
cnf(c_118879,plain,
sdtpldt0(sz00,sdtasdt0(sz00,sz00)) = sdtasdt0(sdtpldt0(sz10,sz00),sz00),
inference(superposition,[status(thm)],[c_49,c_18439]) ).
cnf(c_119023,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(demodulation,[status(thm)],[c_118879,c_17781,c_17804,c_24031]) ).
cnf(c_119227,plain,
sdtasdt0(xx,sz00) = sdtasdt0(sP0_iProver_def,sz00),
inference(superposition,[status(thm)],[c_119023,c_36626]) ).
cnf(c_119233,plain,
sdtasdt0(sP0_iProver_def,sz00) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_119227,c_17733]) ).
cnf(c_126362,plain,
sdtpldt0(xx,sdtasdt0(sz00,xx)) = sdtasdt0(sdtpldt0(sz10,sz00),xx),
inference(superposition,[status(thm)],[c_49,c_18500]) ).
cnf(c_126516,plain,
sdtpldt0(sP0_iProver_def,xx) = xx,
inference(demodulation,[status(thm)],[c_126362,c_241,c_17781,c_17809,c_17971]) ).
cnf(c_126659,plain,
sdtpldt0(smndt0(xx),xx) = sdtpldt0(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_126516,c_100071]) ).
cnf(c_126661,plain,
sdtpldt0(sP0_iProver_def,sdtasdt0(sP0_iProver_def,sz00)) = sdtasdt0(xx,sz00),
inference(superposition,[status(thm)],[c_126516,c_99482]) ).
cnf(c_126692,plain,
sdtpldt0(sP0_iProver_def,sP0_iProver_def) = sz00,
inference(demodulation,[status(thm)],[c_126659,c_17797]) ).
cnf(c_126696,plain,
sdtpldt0(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_126661,c_17733,c_119233]) ).
cnf(c_126722,plain,
sz00 = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_126692,c_126696]) ).
cnf(c_127256,plain,
$false,
inference(superposition,[status(thm)],[c_126722,c_17737]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG083+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jun 18 14:53:09 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 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
% 69.29/10.27 % SZS status Started for theBenchmark.p
% 69.29/10.27 % SZS status Theorem for theBenchmark.p
% 69.29/10.27
% 69.29/10.27 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 69.29/10.27
% 69.29/10.27 ------ iProver source info
% 69.29/10.27
% 69.29/10.27 git: date: 2024-06-12 09:56:46 +0000
% 69.29/10.27 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 69.29/10.27 git: non_committed_changes: false
% 69.29/10.27
% 69.29/10.27 ------ Parsing...
% 69.29/10.27 ------ Clausification by vclausify_rel & Parsing by iProver...
% 69.29/10.27
% 69.29/10.27 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 69.29/10.27
% 69.29/10.27 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 69.29/10.27
% 69.29/10.27 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 69.29/10.27 ------ Proving...
% 69.29/10.27 ------ Problem Properties
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27 clauses 23
% 69.29/10.27 conjectures 1
% 69.29/10.27 EPR 4
% 69.29/10.27 Horn 23
% 69.29/10.27 unary 5
% 69.29/10.27 binary 10
% 69.29/10.27 lits 53
% 69.29/10.27 lits eq 18
% 69.29/10.27 fd_pure 0
% 69.29/10.27 fd_pseudo 0
% 69.29/10.27 fd_cond 0
% 69.29/10.27 fd_pseudo_cond 0
% 69.29/10.27 AC symbols 0
% 69.29/10.27
% 69.29/10.27 ------ Input Options Time Limit: Unbounded
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27 ------
% 69.29/10.27 Current options:
% 69.29/10.27 ------
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27 ------ Proving...
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27 % SZS status Theorem for theBenchmark.p
% 69.29/10.27
% 69.29/10.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 69.29/10.28
% 69.29/10.28
%------------------------------------------------------------------------------