TSTP Solution File: RNG088+2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG088+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 14:04:00 EDT 2024
% Result : Theorem 3.58s 1.14s
% Output : CNFRefutation 3.58s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f25,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/sandbox2/benchmark/theBenchmark.p',m__870) ).
fof(f27,axiom,
( xx = sdtpldt0(xk,xl)
& aElementOf0(xl,xJ)
& aElementOf0(xk,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).
fof(f28,axiom,
( xy = sdtpldt0(xm,xn)
& aElementOf0(xn,xJ)
& aElementOf0(xm,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__967) ).
fof(f29,conjecture,
( aElementOf0(sdtpldt0(xl,xn),xJ)
& aElementOf0(sdtpldt0(xk,xm),xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f30,negated_conjecture,
~ ( aElementOf0(sdtpldt0(xl,xn),xJ)
& aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(negated_conjecture,[],[f29]) ).
fof(f35,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,[],[f25]) ).
fof(f68,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,[],[f35]) ).
fof(f69,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(ennf_transformation,[],[f30]) ).
fof(f143,plain,
! [X3,X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X5,xI)
| ~ aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f68]) ).
fof(f147,plain,
! [X2,X0] :
( aElementOf0(sdtpldt0(X0,X2),xJ)
| ~ aElementOf0(X2,xJ)
| ~ aElementOf0(X0,xJ) ),
inference(cnf_transformation,[],[f68]) ).
fof(f159,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f27]) ).
fof(f160,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f27]) ).
fof(f162,plain,
aElementOf0(xm,xI),
inference(cnf_transformation,[],[f28]) ).
fof(f163,plain,
aElementOf0(xn,xJ),
inference(cnf_transformation,[],[f28]) ).
fof(f165,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_101,plain,
( ~ aElementOf0(X0,xJ)
| ~ aElementOf0(X1,xJ)
| aElementOf0(sdtpldt0(X0,X1),xJ) ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_105,plain,
( ~ aElementOf0(X0,xI)
| ~ aElementOf0(X1,xI)
| aElementOf0(sdtpldt0(X1,X0),xI) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_117,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_118,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f159]) ).
cnf(c_120,plain,
aElementOf0(xn,xJ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_121,plain,
aElementOf0(xm,xI),
inference(cnf_transformation,[],[f162]) ).
cnf(c_122,negated_conjecture,
( ~ aElementOf0(sdtpldt0(xk,xm),xI)
| ~ aElementOf0(sdtpldt0(xl,xn),xJ) ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_2941,plain,
sdtpldt0(xk,xm) = sP0_iProver_def,
definition ).
cnf(c_2942,plain,
sdtpldt0(xl,xn) = sP1_iProver_def,
definition ).
cnf(c_2943,negated_conjecture,
( ~ aElementOf0(sP0_iProver_def,xI)
| ~ aElementOf0(sP1_iProver_def,xJ) ),
inference(demodulation,[status(thm)],[c_122,c_2942,c_2941]) ).
cnf(c_4579,plain,
( ~ aElementOf0(xl,xJ)
| ~ aElementOf0(xn,xJ)
| aElementOf0(sP1_iProver_def,xJ) ),
inference(superposition,[status(thm)],[c_2942,c_101]) ).
cnf(c_4594,plain,
aElementOf0(sP1_iProver_def,xJ),
inference(forward_subsumption_resolution,[status(thm)],[c_4579,c_120,c_117]) ).
cnf(c_4611,plain,
~ aElementOf0(sP0_iProver_def,xI),
inference(backward_subsumption_resolution,[status(thm)],[c_2943,c_4594]) ).
cnf(c_4694,plain,
( ~ aElementOf0(xk,xI)
| ~ aElementOf0(xm,xI)
| aElementOf0(sP0_iProver_def,xI) ),
inference(superposition,[status(thm)],[c_2941,c_105]) ).
cnf(c_4707,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4694,c_4611,c_121,c_118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG088+2 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jun 18 13:32:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.58/1.14 % SZS status Started for theBenchmark.p
% 3.58/1.14 % SZS status Theorem for theBenchmark.p
% 3.58/1.14
% 3.58/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.58/1.14
% 3.58/1.14 ------ iProver source info
% 3.58/1.14
% 3.58/1.14 git: date: 2024-06-12 09:56:46 +0000
% 3.58/1.14 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 3.58/1.14 git: non_committed_changes: false
% 3.58/1.14
% 3.58/1.14 ------ Parsing...
% 3.58/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.58/1.14
% 3.58/1.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 3.58/1.14
% 3.58/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.58/1.14
% 3.58/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.58/1.14 ------ Proving...
% 3.58/1.14 ------ Problem Properties
% 3.58/1.14
% 3.58/1.14
% 3.58/1.14 clauses 70
% 3.58/1.14 conjectures 1
% 3.58/1.14 EPR 17
% 3.58/1.14 Horn 61
% 3.58/1.14 unary 22
% 3.58/1.14 binary 13
% 3.58/1.14 lits 189
% 3.58/1.14 lits eq 37
% 3.58/1.14 fd_pure 0
% 3.58/1.14 fd_pseudo 0
% 3.58/1.14 fd_cond 1
% 3.58/1.14 fd_pseudo_cond 8
% 3.58/1.14 AC symbols 0
% 3.58/1.14
% 3.58/1.14 ------ Schedule dynamic 5 is on
% 3.58/1.14
% 3.58/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.58/1.14
% 3.58/1.14
% 3.58/1.14 ------
% 3.58/1.14 Current options:
% 3.58/1.14 ------
% 3.58/1.14
% 3.58/1.14
% 3.58/1.14
% 3.58/1.14
% 3.58/1.14 ------ Proving...
% 3.58/1.14
% 3.58/1.14
% 3.58/1.14 % SZS status Theorem for theBenchmark.p
% 3.58/1.14
% 3.58/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.58/1.14
% 3.58/1.14
%------------------------------------------------------------------------------