TSTP Solution File: NUM540+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM540+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 02:49:49 EDT 2024
% Result : Theorem 3.60s 1.12s
% Output : CNFRefutation 3.60s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f52,conjecture,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f53,negated_conjecture,
slcrc0 != slbdtrb0(sz00),
inference(negated_conjecture,[],[f52]) ).
fof(f60,plain,
slcrc0 != slbdtrb0(sz00),
inference(flattening,[],[f53]) ).
fof(f63,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f98,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f134,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f135,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f134]) ).
fof(f136,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f135]) ).
fof(f137,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f136,f137]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f126]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f173]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f174]) ).
fof(f176,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
=> ( ( ~ sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
| ~ aElementOf0(sK12(X0,X1),szNzAzT0)
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
& aElementOf0(sK12(X0,X1),szNzAzT0) )
| aElementOf0(sK12(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
| ~ aElementOf0(sK12(X0,X1),szNzAzT0)
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
& aElementOf0(sK12(X0,X1),szNzAzT0) )
| aElementOf0(sK12(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f175,f176]) ).
fof(f181,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f225,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f233,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f260,plain,
! [X0,X1] :
( aSet0(X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f261,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f262,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f268,plain,
slcrc0 != slbdtrb0(sz00),
inference(cnf_transformation,[],[f60]) ).
fof(f282,plain,
! [X3,X0] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f262]) ).
fof(f283,plain,
! [X3,X0] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f261]) ).
fof(f284,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f260]) ).
cnf(c_50,plain,
( ~ aSet0(X0)
| X0 = slcrc0
| aElementOf0(sK4(X0),X0) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_96,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f225]) ).
cnf(c_104,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f233]) ).
cnf(c_135,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),X1) ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_136,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f283]) ).
cnf(c_137,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(cnf_transformation,[],[f284]) ).
cnf(c_139,negated_conjecture,
slbdtrb0(sz00) != slcrc0,
inference(cnf_transformation,[],[f268]) ).
cnf(c_8078,plain,
slbdtrb0(sz00) = sP0_iProver_def,
definition ).
cnf(c_8079,negated_conjecture,
sP0_iProver_def != slcrc0,
inference(demodulation,[status(thm)],[c_139,c_8078]) ).
cnf(c_9532,plain,
aSet0(slbdtrb0(sz00)),
inference(superposition,[status(thm)],[c_96,c_137]) ).
cnf(c_9533,plain,
aSet0(sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_9532,c_8078]) ).
cnf(c_10000,plain,
( ~ aElementOf0(X0,sP0_iProver_def)
| ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_8078,c_136]) ).
cnf(c_10001,plain,
( ~ aElementOf0(X0,sP0_iProver_def)
| aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10000,c_96]) ).
cnf(c_10311,plain,
( ~ aElementOf0(X0,sP0_iProver_def)
| ~ aElementOf0(sz00,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
inference(superposition,[status(thm)],[c_8078,c_135]) ).
cnf(c_10312,plain,
( ~ aElementOf0(X0,sP0_iProver_def)
| sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10311,c_96]) ).
cnf(c_10485,plain,
~ aElementOf0(X0,sP0_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_10312,c_104,c_10001,c_10312]) ).
cnf(c_10488,plain,
( ~ aSet0(sP0_iProver_def)
| slcrc0 = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_50,c_10485]) ).
cnf(c_10491,plain,
slcrc0 = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_10488,c_9533]) ).
cnf(c_10515,plain,
sP0_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_8079,c_10491]) ).
cnf(c_10516,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_10515]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM540+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n027.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 19:55:05 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 3.60/1.12 % SZS status Started for theBenchmark.p
% 3.60/1.12 % SZS status Theorem for theBenchmark.p
% 3.60/1.12
% 3.60/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.60/1.12
% 3.60/1.12 ------ iProver source info
% 3.60/1.12
% 3.60/1.12 git: date: 2024-05-02 19:28:25 +0000
% 3.60/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.60/1.12 git: non_committed_changes: false
% 3.60/1.12
% 3.60/1.12 ------ Parsing...
% 3.60/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.60/1.12
% 3.60/1.12 ------ 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: 1 0s sf_e pe_s pe_e
% 3.60/1.12
% 3.60/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.60/1.12
% 3.60/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.60/1.12 ------ Proving...
% 3.60/1.12 ------ Problem Properties
% 3.60/1.12
% 3.60/1.12
% 3.60/1.12 clauses 90
% 3.60/1.12 conjectures 1
% 3.60/1.12 EPR 30
% 3.60/1.12 Horn 64
% 3.60/1.12 unary 10
% 3.60/1.12 binary 14
% 3.60/1.12 lits 305
% 3.60/1.12 lits eq 46
% 3.60/1.12 fd_pure 0
% 3.60/1.12 fd_pseudo 0
% 3.60/1.12 fd_cond 8
% 3.60/1.12 fd_pseudo_cond 14
% 3.60/1.12 AC symbols 0
% 3.60/1.12
% 3.60/1.12 ------ Schedule dynamic 5 is on
% 3.60/1.12
% 3.60/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.60/1.12
% 3.60/1.12
% 3.60/1.12 ------
% 3.60/1.12 Current options:
% 3.60/1.12 ------
% 3.60/1.12
% 3.60/1.12
% 3.60/1.12
% 3.60/1.12
% 3.60/1.12 ------ Proving...
% 3.60/1.12
% 3.60/1.12
% 3.60/1.12 % SZS status Theorem for theBenchmark.p
% 3.60/1.12
% 3.60/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.60/1.12
% 3.60/1.12
%------------------------------------------------------------------------------