TSTP Solution File: RNG047+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 02:57:23 EDT 2024
% Result : Theorem 0.44s 1.13s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( sz00 != aDimensionOf0(X0)
=> ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).
fof(f33,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329) ).
fof(f34,axiom,
( sz00 != aDimensionOf0(xt)
& aDimensionOf0(xs) = aDimensionOf0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329_01) ).
fof(f35,conjecture,
aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f36,negated_conjecture,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(negated_conjecture,[],[f35]) ).
fof(f42,plain,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(flattening,[],[f36]) ).
fof(f47,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f47]) ).
fof(f81,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(flattening,[],[f84]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(nnf_transformation,[],[f85]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(rectify,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
=> ( sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1))
& aNaturalNumber0(sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ( sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1))
& aNaturalNumber0(sK1(X0,X1)) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f90,f91]) ).
fof(f98,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f131,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f133,plain,
! [X0,X1] :
( aVector0(X1)
| sziznziztdt0(X0) != X1
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f134,plain,
! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| sziznziztdt0(X0) != X1
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f138,plain,
aVector0(xs),
inference(cnf_transformation,[],[f33]) ).
fof(f139,plain,
aVector0(xt),
inference(cnf_transformation,[],[f33]) ).
fof(f140,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f34]) ).
fof(f141,plain,
sz00 != aDimensionOf0(xt),
inference(cnf_transformation,[],[f34]) ).
fof(f142,plain,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(cnf_transformation,[],[f42]) ).
fof(f144,plain,
! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f134]) ).
fof(f145,plain,
! [X0] :
( aVector0(sziznziztdt0(X0))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f133]) ).
cnf(c_54,plain,
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_87,plain,
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_92,plain,
( ~ aVector0(X0)
| szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) = aDimensionOf0(X0)
| aDimensionOf0(X0) = sz00 ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_93,plain,
( ~ aVector0(X0)
| aDimensionOf0(X0) = sz00
| aVector0(sziznziztdt0(X0)) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_94,plain,
aVector0(xt),
inference(cnf_transformation,[],[f139]) ).
cnf(c_95,plain,
aVector0(xs),
inference(cnf_transformation,[],[f138]) ).
cnf(c_96,plain,
aDimensionOf0(xt) != sz00,
inference(cnf_transformation,[],[f141]) ).
cnf(c_97,plain,
aDimensionOf0(xt) = aDimensionOf0(xs),
inference(cnf_transformation,[],[f140]) ).
cnf(c_98,negated_conjecture,
aDimensionOf0(sziznziztdt0(xt)) != aDimensionOf0(sziznziztdt0(xs)),
inference(cnf_transformation,[],[f142]) ).
cnf(c_777,plain,
sziznziztdt0(xt) = sP3_iProver_def,
definition ).
cnf(c_778,plain,
aDimensionOf0(sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_779,plain,
sziznziztdt0(xs) = sP5_iProver_def,
definition ).
cnf(c_780,plain,
aDimensionOf0(sP5_iProver_def) = sP6_iProver_def,
definition ).
cnf(c_781,negated_conjecture,
sP4_iProver_def != sP6_iProver_def,
inference(demodulation,[status(thm)],[c_98,c_779,c_780,c_777,c_778]) ).
cnf(c_1625,plain,
( ~ aVector0(sP3_iProver_def)
| aNaturalNumber0(sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_778,c_87]) ).
cnf(c_1626,plain,
( ~ aVector0(sP5_iProver_def)
| aNaturalNumber0(sP6_iProver_def) ),
inference(superposition,[status(thm)],[c_780,c_87]) ).
cnf(c_1940,plain,
( ~ aVector0(xs)
| aDimensionOf0(xs) = sz00
| aVector0(sP5_iProver_def) ),
inference(superposition,[status(thm)],[c_779,c_93]) ).
cnf(c_1941,plain,
( ~ aVector0(xt)
| aDimensionOf0(xt) = sz00
| aVector0(sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_777,c_93]) ).
cnf(c_1942,plain,
aVector0(sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_1941,c_96,c_94]) ).
cnf(c_1943,plain,
( ~ aVector0(xs)
| aDimensionOf0(xt) = sz00
| aVector0(sP5_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_1940,c_97]) ).
cnf(c_1944,plain,
aVector0(sP5_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_1943,c_96,c_95]) ).
cnf(c_1945,plain,
aNaturalNumber0(sP4_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_1625,c_1942]) ).
cnf(c_1946,plain,
aNaturalNumber0(sP6_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_1626,c_1944]) ).
cnf(c_2337,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)
| aDimensionOf0(xt) = sz00 ),
inference(superposition,[status(thm)],[c_94,c_92]) ).
cnf(c_2338,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
| aDimensionOf0(xs) = sz00 ),
inference(superposition,[status(thm)],[c_95,c_92]) ).
cnf(c_2347,plain,
( szszuzczcdt0(sP6_iProver_def) = aDimensionOf0(xt)
| aDimensionOf0(xt) = sz00 ),
inference(light_normalisation,[status(thm)],[c_2338,c_97,c_779,c_780]) ).
cnf(c_2348,plain,
szszuzczcdt0(sP6_iProver_def) = aDimensionOf0(xt),
inference(forward_subsumption_resolution,[status(thm)],[c_2347,c_96]) ).
cnf(c_2349,plain,
( szszuzczcdt0(sP4_iProver_def) = aDimensionOf0(xt)
| aDimensionOf0(xt) = sz00 ),
inference(light_normalisation,[status(thm)],[c_2337,c_777,c_778]) ).
cnf(c_2350,plain,
szszuzczcdt0(sP4_iProver_def) = aDimensionOf0(xt),
inference(forward_subsumption_resolution,[status(thm)],[c_2349,c_96]) ).
cnf(c_2430,plain,
( szszuzczcdt0(X0) != aDimensionOf0(xt)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sP6_iProver_def)
| X0 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_2348,c_54]) ).
cnf(c_2431,plain,
( szszuzczcdt0(X0) != aDimensionOf0(xt)
| ~ aNaturalNumber0(X0)
| X0 = sP6_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_2430,c_1946]) ).
cnf(c_5012,plain,
( ~ aNaturalNumber0(sP4_iProver_def)
| sP4_iProver_def = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_2350,c_2431]) ).
cnf(c_5020,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5012,c_781,c_1945]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 21:37:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 0.44/1.13 % SZS status Started for theBenchmark.p
% 0.44/1.13 % SZS status Theorem for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.13
% 0.44/1.13 ------ iProver source info
% 0.44/1.13
% 0.44/1.13 git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.13 git: non_committed_changes: false
% 0.44/1.13
% 0.44/1.13 ------ Parsing...
% 0.44/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 0.44/1.13 ------ Proving...
% 0.44/1.13 ------ Problem Properties
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 clauses 57
% 0.44/1.13 conjectures 1
% 0.44/1.13 EPR 12
% 0.44/1.13 Horn 47
% 0.44/1.13 unary 12
% 0.44/1.13 binary 16
% 0.44/1.13 lits 169
% 0.44/1.13 lits eq 46
% 0.44/1.13 fd_pure 0
% 0.44/1.13 fd_pseudo 0
% 0.44/1.13 fd_cond 1
% 0.44/1.13 fd_pseudo_cond 5
% 0.44/1.13 AC symbols 0
% 0.44/1.13
% 0.44/1.13 ------ Schedule dynamic 5 is on
% 0.44/1.13
% 0.44/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------
% 0.44/1.13 Current options:
% 0.44/1.13 ------
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------ Proving...
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 % SZS status Theorem for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.13
% 0.44/1.14
%------------------------------------------------------------------------------