TSTP Solution File: RNG099+2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG099+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 02:57:38 EDT 2024
% Result : Theorem 3.75s 1.11s
% Output : CNFRefutation 3.75s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
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(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f28,axiom,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).
fof(f30,axiom,
( aElement0(xy)
& aElement0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217) ).
fof(f31,axiom,
( sz10 = sdtpldt0(xa,xb)
& aElementOf0(xb,xJ)
& aElementOf0(xa,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).
fof(f32,axiom,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1319) ).
fof(f33,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1332) ).
fof(f34,axiom,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1409) ).
fof(f35,conjecture,
? [X0] :
( ( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) )
& ( sdteqdtlpzmzozddtrp0(X0,xx,xI)
| aElementOf0(sdtpldt0(X0,smndt0(xx)),xI) )
& aElement0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f36,negated_conjecture,
~ ? [X0] :
( ( sdteqdtlpzmzozddtrp0(X0,xy,xJ)
| aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) )
& ( sdteqdtlpzmzozddtrp0(X0,xx,xI)
| aElementOf0(sdtpldt0(X0,smndt0(xx)),xI) )
& aElement0(X0) ),
inference(negated_conjecture,[],[f35]) ).
fof(f41,plain,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X0,X2),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( aElementOf0(X3,xI)
=> ( ! [X4] :
( aElement0(X4)
=> aElementOf0(sdtasdt0(X4,X3),xI) )
& ! [X5] :
( aElementOf0(X5,xI)
=> aElementOf0(sdtpldt0(X3,X5),xI) ) ) )
& aSet0(xI) ),
inference(rectify,[],[f28]) ).
fof(f43,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f44,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f46,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f45]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f78,plain,
( aIdeal0(xJ)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1) )
& ! [X2] :
( aElementOf0(sdtpldt0(X0,X2),xJ)
| ~ aElementOf0(X2,xJ) ) )
| ~ aElementOf0(X0,xJ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X3),xI)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X5,xI) ) )
| ~ aElementOf0(X3,xI) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f41]) ).
fof(f80,plain,
! [X0] :
( ( ~ sdteqdtlpzmzozddtrp0(X0,xy,xJ)
& ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) )
| ( ~ sdteqdtlpzmzozddtrp0(X0,xx,xI)
& ~ aElementOf0(sdtpldt0(X0,smndt0(xx)),xI) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f113,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f114,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f133,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f169,plain,
aSet0(xI),
inference(cnf_transformation,[],[f78]) ).
fof(f173,plain,
aSet0(xJ),
inference(cnf_transformation,[],[f78]) ).
fof(f181,plain,
aElement0(xx),
inference(cnf_transformation,[],[f30]) ).
fof(f182,plain,
aElement0(xy),
inference(cnf_transformation,[],[f30]) ).
fof(f183,plain,
aElementOf0(xa,xI),
inference(cnf_transformation,[],[f31]) ).
fof(f184,plain,
aElementOf0(xb,xJ),
inference(cnf_transformation,[],[f31]) ).
fof(f186,plain,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
inference(cnf_transformation,[],[f32]) ).
fof(f187,plain,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(cnf_transformation,[],[f33]) ).
fof(f188,plain,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
inference(cnf_transformation,[],[f34]) ).
fof(f189,plain,
! [X0] :
( ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| ~ aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_52,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_53,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_72,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_111,plain,
aSet0(xJ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_115,plain,
aSet0(xI),
inference(cnf_transformation,[],[f169]) ).
cnf(c_120,plain,
aElement0(xy),
inference(cnf_transformation,[],[f182]) ).
cnf(c_121,plain,
aElement0(xx),
inference(cnf_transformation,[],[f181]) ).
cnf(c_123,plain,
aElementOf0(xb,xJ),
inference(cnf_transformation,[],[f184]) ).
cnf(c_124,plain,
aElementOf0(xa,xI),
inference(cnf_transformation,[],[f183]) ).
cnf(c_125,plain,
sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) = xw,
inference(cnf_transformation,[],[f186]) ).
cnf(c_126,plain,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(cnf_transformation,[],[f187]) ).
cnf(c_127,plain,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_131,negated_conjecture,
( ~ aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ)
| ~ aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f189]) ).
cnf(c_3393,plain,
smndt0(xy) = sP0_iProver_def,
definition ).
cnf(c_3394,plain,
smndt0(xx) = sP1_iProver_def,
definition ).
cnf(c_3395,negated_conjecture,
( ~ aElementOf0(sdtpldt0(X0,sP0_iProver_def),xJ)
| ~ aElementOf0(sdtpldt0(X0,sP1_iProver_def),xI)
| ~ aElement0(X0) ),
inference(demodulation,[status(thm)],[c_131,c_3394,c_3393]) ).
cnf(c_4586,plain,
aElementOf0(sdtpldt0(xw,sP1_iProver_def),xI),
inference(light_normalisation,[status(thm)],[c_126,c_3394]) ).
cnf(c_4594,plain,
aElementOf0(sdtpldt0(xw,sP0_iProver_def),xJ),
inference(light_normalisation,[status(thm)],[c_127,c_3393]) ).
cnf(c_4595,plain,
( ~ aElementOf0(sdtpldt0(xw,sP1_iProver_def),xI)
| ~ aElement0(xw) ),
inference(superposition,[status(thm)],[c_4594,c_3395]) ).
cnf(c_4599,plain,
~ aElement0(xw),
inference(forward_subsumption_resolution,[status(thm)],[c_4595,c_4586]) ).
cnf(c_4734,plain,
( ~ aSet0(xJ)
| aElement0(xb) ),
inference(superposition,[status(thm)],[c_123,c_72]) ).
cnf(c_4735,plain,
( ~ aSet0(xI)
| aElement0(xa) ),
inference(superposition,[status(thm)],[c_124,c_72]) ).
cnf(c_4738,plain,
aElement0(xa),
inference(forward_subsumption_resolution,[status(thm)],[c_4735,c_115]) ).
cnf(c_4739,plain,
aElement0(xb),
inference(forward_subsumption_resolution,[status(thm)],[c_4734,c_111]) ).
cnf(c_4767,plain,
( ~ aElement0(sdtasdt0(xy,xa))
| ~ aElement0(sdtasdt0(xx,xb))
| aElement0(xw) ),
inference(superposition,[status(thm)],[c_125,c_52]) ).
cnf(c_4785,plain,
( ~ aElement0(sdtasdt0(xy,xa))
| ~ aElement0(sdtasdt0(xx,xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4767,c_4599]) ).
cnf(c_4893,plain,
( ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(xy)
| ~ aElement0(xa) ),
inference(superposition,[status(thm)],[c_53,c_4785]) ).
cnf(c_4894,plain,
~ aElement0(sdtasdt0(xx,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_4893,c_4738,c_120]) ).
cnf(c_4895,plain,
( ~ aElement0(xx)
| ~ aElement0(xb) ),
inference(superposition,[status(thm)],[c_53,c_4894]) ).
cnf(c_4896,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4895,c_4739,c_121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : RNG099+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 21:35:31 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 3.75/1.11 % SZS status Started for theBenchmark.p
% 3.75/1.11 % SZS status Theorem for theBenchmark.p
% 3.75/1.11
% 3.75/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.75/1.11
% 3.75/1.11 ------ iProver source info
% 3.75/1.11
% 3.75/1.11 git: date: 2024-05-02 19:28:25 +0000
% 3.75/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.75/1.11 git: non_committed_changes: false
% 3.75/1.11
% 3.75/1.11 ------ Parsing...
% 3.75/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.75/1.11
% 3.75/1.11 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.75/1.11
% 3.75/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.75/1.11
% 3.75/1.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.75/1.11 ------ Proving...
% 3.75/1.11 ------ Problem Properties
% 3.75/1.11
% 3.75/1.11
% 3.75/1.11 clauses 84
% 3.75/1.11 conjectures 4
% 3.75/1.11 EPR 15
% 3.75/1.11 Horn 71
% 3.75/1.11 unary 17
% 3.75/1.11 binary 17
% 3.75/1.11 lits 247
% 3.75/1.11 lits eq 36
% 3.75/1.11 fd_pure 0
% 3.75/1.11 fd_pseudo 0
% 3.75/1.11 fd_cond 1
% 3.75/1.11 fd_pseudo_cond 8
% 3.75/1.11 AC symbols 0
% 3.75/1.11
% 3.75/1.11 ------ Schedule dynamic 5 is on
% 3.75/1.11
% 3.75/1.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.75/1.11
% 3.75/1.11
% 3.75/1.11 ------
% 3.75/1.11 Current options:
% 3.75/1.11 ------
% 3.75/1.11
% 3.75/1.11
% 3.75/1.11
% 3.75/1.11
% 3.75/1.11 ------ Proving...
% 3.75/1.11
% 3.75/1.11
% 3.75/1.11 % SZS status Theorem for theBenchmark.p
% 3.75/1.11
% 3.75/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.75/1.11
% 3.75/1.12
%------------------------------------------------------------------------------