TSTP Solution File: GEO502+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO502+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 23:11:31 EDT 2023
% Result : Theorem 0.46s 1.17s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 16 unt; 0 def)
% Number of atoms : 176 ( 7 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 241 ( 106 ~; 98 |; 36 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-7 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 156 ( 14 sgn; 84 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f114,axiom,
! [X19,X29,X20,X13,X30,X31,X32] :
( ~ le(X13,X19,X13,X32)
| s_t(X29,X13,X31)
| ~ s_kf(X19,X29,X20,X13,X30,X31,X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_22a) ).
fof(f115,axiom,
! [X19,X29,X20,X13,X30,X31,X32] :
( s_t(X29,X13,X31)
| ~ s_kf(X19,X29,X20,X13,X30,X31,X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_22b) ).
fof(f116,conjecture,
! [X19,X13,X32,X20,X30,X29,X31] :
( s_t(X29,X13,X31)
| ~ s_m(X32,X31,X30)
| ~ s_m(X19,X29,X20)
| ~ s_e(X13,X32,X13,X30)
| ~ s_e(X13,X19,X13,X20)
| ~ s_t(X20,X13,X30)
| ~ s_t(X19,X13,X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_22) ).
fof(f117,negated_conjecture,
~ ! [X19,X13,X32,X20,X30,X29,X31] :
( s_t(X29,X13,X31)
| ~ s_m(X32,X31,X30)
| ~ s_m(X19,X29,X20)
| ~ s_e(X13,X32,X13,X30)
| ~ s_e(X13,X19,X13,X20)
| ~ s_t(X20,X13,X30)
| ~ s_t(X19,X13,X32) ),
inference(negated_conjecture,[],[f116]) ).
fof(f127,axiom,
! [X19,X29,X20,X13,X30,X31,X32] :
( ( s_kf(X19,X29,X20,X13,X30,X31,X32)
| ~ s_m(X32,X31,X30)
| ~ s_m(X19,X29,X20)
| ~ s_e(X13,X32,X13,X30)
| ~ s_e(X13,X19,X13,X20)
| ~ s_t(X20,X13,X30)
| ~ s_t(X19,X13,X32) )
& ( s_m(X32,X31,X30)
| ~ s_kf(X19,X29,X20,X13,X30,X31,X32) )
& ( s_m(X19,X29,X20)
| ~ s_kf(X19,X29,X20,X13,X30,X31,X32) )
& ( s_e(X13,X32,X13,X30)
| ~ s_kf(X19,X29,X20,X13,X30,X31,X32) )
& ( s_e(X13,X19,X13,X20)
| ~ s_kf(X19,X29,X20,X13,X30,X31,X32) )
& ( s_t(X20,X13,X30)
| ~ s_kf(X19,X29,X20,X13,X30,X31,X32) )
& ( s_t(X19,X13,X32)
| ~ s_kf(X19,X29,X20,X13,X30,X31,X32) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn7_23) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ le(X3,X0,X3,X6)
| s_t(X1,X3,X5)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(rectify,[],[f114]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( s_t(X1,X3,X5)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(rectify,[],[f115]) ).
fof(f235,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( s_t(X5,X1,X6)
| ~ s_m(X2,X6,X4)
| ~ s_m(X0,X5,X3)
| ~ s_e(X1,X2,X1,X4)
| ~ s_e(X1,X0,X1,X3)
| ~ s_t(X3,X1,X4)
| ~ s_t(X0,X1,X2) ),
inference(rectify,[],[f117]) ).
fof(f245,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( s_kf(X0,X1,X2,X3,X4,X5,X6)
| ~ s_m(X6,X5,X4)
| ~ s_m(X0,X1,X2)
| ~ s_e(X3,X6,X3,X4)
| ~ s_e(X3,X0,X3,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X3,X6) )
& ( s_m(X6,X5,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_m(X0,X1,X2)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_e(X3,X6,X3,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_e(X3,X0,X3,X2)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_t(X2,X3,X4)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) )
& ( s_t(X0,X3,X6)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ) ),
inference(rectify,[],[f127]) ).
fof(f246,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ s_t(X5,X1,X6)
& s_m(X2,X6,X4)
& s_m(X0,X5,X3)
& s_e(X1,X2,X1,X4)
& s_e(X1,X0,X1,X3)
& s_t(X3,X1,X4)
& s_t(X0,X1,X2) ),
inference(ennf_transformation,[],[f235]) ).
fof(f247,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ s_t(X5,X1,X6)
& s_m(X2,X6,X4)
& s_m(X0,X5,X3)
& s_e(X1,X2,X1,X4)
& s_e(X1,X0,X1,X3)
& s_t(X3,X1,X4)
& s_t(X0,X1,X2) )
=> ( ~ s_t(sK5,sK1,sK6)
& s_m(sK2,sK6,sK4)
& s_m(sK0,sK5,sK3)
& s_e(sK1,sK2,sK1,sK4)
& s_e(sK1,sK0,sK1,sK3)
& s_t(sK3,sK1,sK4)
& s_t(sK0,sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
( ~ s_t(sK5,sK1,sK6)
& s_m(sK2,sK6,sK4)
& s_m(sK0,sK5,sK3)
& s_e(sK1,sK2,sK1,sK4)
& s_e(sK1,sK0,sK1,sK3)
& s_t(sK3,sK1,sK4)
& s_t(sK0,sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f246,f247]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ le(X3,X0,X3,X6)
| s_t(X1,X3,X5)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f233]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_t(X1,X3,X5)
| ~ s_kf(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f234]) ).
fof(f378,plain,
s_t(sK0,sK1,sK2),
inference(cnf_transformation,[],[f248]) ).
fof(f379,plain,
s_t(sK3,sK1,sK4),
inference(cnf_transformation,[],[f248]) ).
fof(f380,plain,
s_e(sK1,sK0,sK1,sK3),
inference(cnf_transformation,[],[f248]) ).
fof(f381,plain,
s_e(sK1,sK2,sK1,sK4),
inference(cnf_transformation,[],[f248]) ).
fof(f382,plain,
s_m(sK0,sK5,sK3),
inference(cnf_transformation,[],[f248]) ).
fof(f383,plain,
s_m(sK2,sK6,sK4),
inference(cnf_transformation,[],[f248]) ).
fof(f384,plain,
~ s_t(sK5,sK1,sK6),
inference(cnf_transformation,[],[f248]) ).
fof(f430,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_kf(X0,X1,X2,X3,X4,X5,X6)
| ~ s_m(X6,X5,X4)
| ~ s_m(X0,X1,X2)
| ~ s_e(X3,X6,X3,X4)
| ~ s_e(X3,X0,X3,X2)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X3,X6) ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_176,plain,
( ~ s_kf(X0,X1,X2,X3,X4,X5,X6)
| ~ le(X3,X0,X3,X6)
| s_t(X1,X3,X5) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_177,plain,
( ~ s_kf(X0,X1,X2,X3,X4,X5,X6)
| s_t(X1,X3,X5) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_178,negated_conjecture,
~ s_t(sK5,sK1,sK6),
inference(cnf_transformation,[],[f384]) ).
cnf(c_179,negated_conjecture,
s_m(sK2,sK6,sK4),
inference(cnf_transformation,[],[f383]) ).
cnf(c_180,negated_conjecture,
s_m(sK0,sK5,sK3),
inference(cnf_transformation,[],[f382]) ).
cnf(c_181,negated_conjecture,
s_e(sK1,sK2,sK1,sK4),
inference(cnf_transformation,[],[f381]) ).
cnf(c_182,negated_conjecture,
s_e(sK1,sK0,sK1,sK3),
inference(cnf_transformation,[],[f380]) ).
cnf(c_183,negated_conjecture,
s_t(sK3,sK1,sK4),
inference(cnf_transformation,[],[f379]) ).
cnf(c_184,negated_conjecture,
s_t(sK0,sK1,sK2),
inference(cnf_transformation,[],[f378]) ).
cnf(c_223,plain,
( ~ s_e(X0,X1,X0,X2)
| ~ s_e(X0,X3,X0,X4)
| ~ s_t(X1,X0,X3)
| ~ s_t(X2,X0,X4)
| ~ s_m(X1,X5,X2)
| ~ s_m(X3,X6,X4)
| s_kf(X1,X5,X2,X0,X4,X6,X3) ),
inference(cnf_transformation,[],[f430]) ).
cnf(c_282,plain,
( ~ s_kf(X0,X1,X2,X3,X4,X5,X6)
| s_t(X1,X3,X5) ),
inference(global_subsumption_just,[status(thm)],[c_176,c_177]) ).
cnf(c_2133,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| X6 != X7
| X8 != X9
| X10 != X11
| X12 != X13
| ~ s_e(X7,X1,X7,X5)
| ~ s_e(X7,X13,X7,X9)
| ~ s_t(X1,X7,X13)
| ~ s_t(X5,X7,X9)
| ~ s_m(X1,X3,X5)
| ~ s_m(X13,X11,X9)
| s_t(X2,X6,X10) ),
inference(resolution_lifted,[status(thm)],[c_282,c_223]) ).
cnf(c_2134,plain,
( ~ s_e(X0,X1,X0,X2)
| ~ s_e(X0,X3,X0,X4)
| ~ s_t(X1,X0,X3)
| ~ s_t(X2,X0,X4)
| ~ s_m(X1,X5,X2)
| ~ s_m(X3,X6,X4)
| s_t(X5,X0,X6) ),
inference(unflattening,[status(thm)],[c_2133]) ).
cnf(c_6091,plain,
( ~ s_e(sK1,X0,sK1,X1)
| ~ s_m(X0,X2,X1)
| ~ s_t(X0,sK1,sK2)
| ~ s_t(X1,sK1,sK4)
| ~ s_m(sK2,X3,sK4)
| s_t(X2,sK1,X3) ),
inference(superposition,[status(thm)],[c_181,c_2134]) ).
cnf(c_6167,plain,
( ~ s_m(sK2,X0,sK4)
| ~ s_m(sK0,X1,sK3)
| ~ s_t(sK0,sK1,sK2)
| ~ s_t(sK3,sK1,sK4)
| s_t(X1,sK1,X0) ),
inference(superposition,[status(thm)],[c_182,c_6091]) ).
cnf(c_6168,plain,
( ~ s_m(sK2,X0,sK4)
| ~ s_m(sK0,X1,sK3)
| s_t(X1,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6167,c_183,c_184]) ).
cnf(c_6197,plain,
( ~ s_m(sK0,X0,sK3)
| s_t(X0,sK1,sK6) ),
inference(superposition,[status(thm)],[c_179,c_6168]) ).
cnf(c_6205,plain,
s_t(sK5,sK1,sK6),
inference(superposition,[status(thm)],[c_180,c_6197]) ).
cnf(c_6206,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6205,c_178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO502+1 : TPTP v8.1.2. Released v7.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n017.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 20:46:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.17 % SZS status Started for theBenchmark.p
% 0.46/1.17 % SZS status Theorem for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.17
% 0.46/1.17 ------ iProver source info
% 0.46/1.17
% 0.46/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.17 git: non_committed_changes: false
% 0.46/1.17 git: last_make_outside_of_git: false
% 0.46/1.17
% 0.46/1.17 ------ Parsing...
% 0.46/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.46/1.17 ------ Proving...
% 0.46/1.17 ------ Problem Properties
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 clauses 142
% 0.46/1.17 conjectures 7
% 0.46/1.17 EPR 108
% 0.46/1.17 Horn 113
% 0.46/1.17 unary 32
% 0.46/1.17 binary 47
% 0.46/1.17 lits 394
% 0.46/1.17 lits eq 68
% 0.46/1.17 fd_pure 0
% 0.46/1.17 fd_pseudo 0
% 0.46/1.17 fd_cond 0
% 0.46/1.17 fd_pseudo_cond 38
% 0.46/1.17 AC symbols 0
% 0.46/1.17
% 0.46/1.17 ------ Schedule dynamic 5 is on
% 0.46/1.17
% 0.46/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 ------
% 0.46/1.17 Current options:
% 0.46/1.17 ------
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 ------ Proving...
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 % SZS status Theorem for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.68/1.17
% 0.68/1.17
%------------------------------------------------------------------------------