TSTP Solution File: GEO273+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO273+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 : Wed Aug 30 23:10:48 EDT 2023
% Result : Theorem 111.62s 15.85s
% Output : CNFRefutation 111.62s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f936)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
( rpoint(X0)
& vf(vd1069,vd1070) = vf(vd1074,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(222)') ).
fof(f2,negated_conjecture,
~ ? [X0] :
( rpoint(X0)
& vf(vd1069,vd1070) = vf(vd1074,X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f8,axiom,
? [X1] :
( rpoint(X1)
& vd1070 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(220)))') ).
fof(f9,axiom,
? [X2] :
( rpoint(X2)
& vd1069 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(220)))') ).
fof(f138,plain,
? [X0] :
( rpoint(X0)
& vd1070 = X0 ),
inference(rectify,[],[f8]) ).
fof(f139,plain,
? [X0] :
( rpoint(X0)
& vd1069 = X0 ),
inference(rectify,[],[f9]) ).
fof(f269,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1069,vd1070) != vf(vd1074,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f512,plain,
( ? [X0] :
( rpoint(X0)
& vd1070 = X0 )
=> ( rpoint(sK1)
& vd1070 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f513,plain,
( rpoint(sK1)
& vd1070 = sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f138,f512]) ).
fof(f514,plain,
( ? [X0] :
( rpoint(X0)
& vd1069 = X0 )
=> ( rpoint(sK2)
& vd1069 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f515,plain,
( rpoint(sK2)
& vd1069 = sK2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f139,f514]) ).
fof(f648,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1069,vd1070) != vf(vd1074,X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f654,plain,
vd1070 = sK1,
inference(cnf_transformation,[],[f513]) ).
fof(f655,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f513]) ).
fof(f656,plain,
vd1069 = sK2,
inference(cnf_transformation,[],[f515]) ).
cnf(c_49,negated_conjecture,
( vf(vd1075,X0) != vf(sK2,sK1)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f917]) ).
cnf(c_50,plain,
sK1 != vd1075,
inference(cnf_transformation,[],[f918]) ).
cnf(c_51,plain,
sK2 != vd1075,
inference(cnf_transformation,[],[f919]) ).
cnf(c_52,plain,
rpoint(vd1075),
inference(cnf_transformation,[],[f652]) ).
cnf(c_54,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f655]) ).
cnf(c_55,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f657]) ).
cnf(c_56,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vf(X2,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1099(vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1)) = vf(X0,X1)
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(cnf_transformation,[],[f936]) ).
cnf(c_63,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X0 = X1
| X0 = X2
| X1 = X2
| rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1099(vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1095(vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1),vskolem1092(X2,X2,X0,X1),X2,X2,X0,X1)) ),
inference(cnf_transformation,[],[f985]) ).
cnf(c_10144,plain,
( ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| ~ rpoint(X2_13)
| X0_13 = X1_13
| X0_13 = X2_13
| X1_13 = X2_13
| rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1095(vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1099(vskolem1095(vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1095(vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_63]) ).
cnf(c_10151,plain,
( ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| ~ rpoint(X2_13)
| vf(X2_13,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1095(vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1099(vskolem1095(vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1095(vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13),vskolem1092(X2_13,X2_13,X0_13,X1_13),X2_13,X2_13,X0_13,X1_13)) = vf(X0_13,X1_13)
| X0_13 = X1_13
| X0_13 = X2_13
| X1_13 = X2_13 ),
inference(subtyping,[status(esa)],[c_56]) ).
cnf(c_10156,plain,
sK2 != vd1075,
inference(subtyping,[status(esa)],[c_51]) ).
cnf(c_10157,plain,
sK1 != vd1075,
inference(subtyping,[status(esa)],[c_50]) ).
cnf(c_10158,negated_conjecture,
( vf(vd1075,X0_13) != vf(sK2,sK1)
| ~ rpoint(X0_13) ),
inference(subtyping,[status(esa)],[c_49]) ).
cnf(c_17815,plain,
( ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| ~ rpoint(sK2)
| vf(X1_13,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1095(vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1099(vskolem1095(vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1095(vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13)) = vf(sK2,X0_13)
| X0_13 = X1_13
| sK2 = X0_13
| sK2 = X1_13 ),
inference(instantiation,[status(thm)],[c_10151]) ).
cnf(c_17816,plain,
( ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| ~ rpoint(sK2)
| X0_13 = X1_13
| sK2 = X0_13
| sK2 = X1_13
| rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1095(vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1099(vskolem1095(vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1095(vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13),vskolem1092(X1_13,X1_13,sK2,X0_13),X1_13,X1_13,sK2,X0_13)) ),
inference(instantiation,[status(thm)],[c_10144]) ).
cnf(c_42107,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(vd1075)
| sK2 = sK1
| sK2 = vd1075
| sK1 = vd1075
| rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1099(vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1)) ),
inference(instantiation,[status(thm)],[c_17816]) ).
cnf(c_42273,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(vd1075)
| vf(vd1075,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1099(vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1)) = vf(sK2,sK1)
| sK2 = sK1
| sK2 = vd1075
| sK1 = vd1075 ),
inference(instantiation,[status(thm)],[c_17815]) ).
cnf(c_63755,plain,
( vf(vd1075,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1099(vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1)) != vf(sK2,sK1)
| ~ rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1099(vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1095(vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1),vskolem1092(vd1075,vd1075,sK2,sK1),vd1075,vd1075,sK2,sK1)) ),
inference(instantiation,[status(thm)],[c_10158]) ).
fof(f3,axiom,
vd1074 = vd1075,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(221, 4)') ).
fof(f651,plain,
vd1069 != vd1074,
inference(cnf_transformation,[],[f5]) ).
fof(f4,axiom,
vd1070 != vd1074,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(221), 1077, 0)') ).
fof(f917,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK2,sK1) != vf(vd1075,X0) ),
inference(definition_unfolding,[],[f648,f656,f654,f649]) ).
fof(f649,plain,
vd1074 = vd1075,
inference(cnf_transformation,[],[f3]) ).
fof(f6,axiom,
rpoint(vd1075),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(221, 1)') ).
fof(f919,plain,
vd1075 != sK2,
inference(definition_unfolding,[],[f651,f656,f649]) ).
fof(f7,axiom,
vd1069 != vd1070,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(220, 5)') ).
fof(f652,plain,
rpoint(vd1075),
inference(cnf_transformation,[],[f6]) ).
fof(f650,plain,
vd1070 != vd1074,
inference(cnf_transformation,[],[f4]) ).
fof(f5,axiom,
vd1069 != vd1074,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(221), 1076, 0)') ).
fof(f918,plain,
vd1075 != sK1,
inference(definition_unfolding,[],[f650,f654,f649]) ).
fof(f653,plain,
vd1069 != vd1070,
inference(cnf_transformation,[],[f7]) ).
fof(f920,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f653,f656,f654]) ).
cnf(c_53,plain,
sK2 != sK1,
inference(cnf_transformation,[],[f920]) ).
cnf(c_10154,plain,
sK2 != sK1,
inference(subtyping,[status(esa)],[c_53]) ).
cnf(c_63756,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_63755,c_42273,c_42107,c_10157,c_10156,c_10154,c_52,c_54,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO273+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 18:58:00 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 111.62/15.85 % SZS status Started for theBenchmark.p
% 111.62/15.85 % SZS status Theorem for theBenchmark.p
% 111.62/15.85
% 111.62/15.85 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 111.62/15.85
% 111.62/15.85 ------ iProver source info
% 111.62/15.85
% 111.62/15.85 git: date: 2023-05-31 18:12:56 +0000
% 111.62/15.85 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 111.62/15.85 git: non_committed_changes: false
% 111.62/15.85 git: last_make_outside_of_git: false
% 111.62/15.85
% 111.62/15.85 ------ Parsing...
% 111.62/15.85 ------ Clausification by vclausify_rel & Parsing by iProver...
% 111.62/15.85
% 111.62/15.85 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 111.62/15.85
% 111.62/15.85 ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 111.62/15.85
% 111.62/15.85 ------ Preprocessing... sf_s rm: 8 0s sf_e sf_s rm: 0 0s sf_e
% 111.62/15.85 ------ Proving...
% 111.62/15.85 ------ Problem Properties
% 111.62/15.85
% 111.62/15.85
% 111.62/15.85 clauses 271
% 111.62/15.85 conjectures 1
% 111.62/15.85 EPR 59
% 111.62/15.85 Horn 164
% 111.62/15.85 unary 8
% 111.62/15.85 binary 43
% 111.62/15.85 lits 1680
% 111.62/15.85 lits eq 270
% 111.62/15.85 fd_pure 0
% 111.62/15.85 fd_pseudo 0
% 111.62/15.85 fd_cond 0
% 111.62/15.85 fd_pseudo_cond 76
% 111.62/15.85 AC symbols 0
% 111.62/15.85
% 111.62/15.85 ------ Input Options Time Limit: Unbounded
% 111.62/15.85
% 111.62/15.85
% 111.62/15.85 ------
% 111.62/15.85 Current options:
% 111.62/15.85 ------
% 111.62/15.85
% 111.62/15.85
% 111.62/15.85
% 111.62/15.85
% 111.62/15.85 ------ Proving...
% 111.62/15.85
% 111.62/15.85
% 111.62/15.85 % SZS status Theorem for theBenchmark.p
% 111.62/15.85
% 111.62/15.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 111.62/15.85
% 111.62/15.85
%------------------------------------------------------------------------------