TSTP Solution File: GEO053-2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 02:16:13 EDT 2024
% Result : Unsatisfiable 76.21s 10.78s
% Output : CNFRefutation 76.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of clauses : 47 ( 22 unt; 9 nHn; 37 RR)
% Number of literals : 103 ( 29 equ; 50 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 95 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(c_50,plain,
equidistant(u,v,u,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u_to_w) ).
cnf(c_51,negated_conjecture,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_w) ).
cnf(c_52,plain,
equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(c_53,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(c_54,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(c_55,plain,
between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
cnf(c_56,plain,
equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
cnf(c_57,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X1,X6,X3,X7)
| ~ between(X0,X1,X6)
| ~ between(X2,X3,X7)
| X0 = X1
| equidistant(X6,X4,X7,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(c_58,plain,
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
cnf(c_59,plain,
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X4,inner_pasch(X3,X4,X2,X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
cnf(c_60,plain,
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X1,inner_pasch(X3,X4,X2,X1,X0),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
cnf(c_300,negated_conjecture,
v != w,
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_613,plain,
extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_56,c_54]) ).
cnf(c_621,plain,
( ~ equidistant(u,v,X0,X1)
| equidistant(u,w,X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_53]) ).
cnf(c_622,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X2,X3) ),
inference(superposition,[status(thm)],[c_52,c_53]) ).
cnf(c_637,plain,
( ~ between(X0,X1,X2)
| ~ between(X3,X0,X2)
| inner_pasch(X3,X0,X2,X1,X0) = X0 ),
inference(superposition,[status(thm)],[c_59,c_58]) ).
cnf(c_642,plain,
between(X0,X1,X1),
inference(superposition,[status(thm)],[c_613,c_55]) ).
cnf(c_666,plain,
equidistant(X0,X1,X0,X1),
inference(superposition,[status(thm)],[c_52,c_622]) ).
cnf(c_680,plain,
equidistant(u,w,u,v),
inference(superposition,[status(thm)],[c_666,c_621]) ).
cnf(c_702,plain,
( ~ between(X0,X1,X2)
| ~ between(X1,X3,X2)
| inner_pasch(X1,X3,X2,X1,X0) = X1 ),
inference(superposition,[status(thm)],[c_60,c_58]) ).
cnf(c_769,plain,
( ~ between(v,w,v)
| v = w ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_1093,plain,
( ~ equidistant(u,X0,u,X1)
| ~ equidistant(w,X0,v,X1)
| ~ equidistant(w,X2,v,X3)
| ~ between(u,v,X3)
| ~ between(u,w,X2)
| u = w
| equidistant(X2,X0,X3,X1) ),
inference(superposition,[status(thm)],[c_680,c_57]) ).
cnf(c_7187,plain,
( ~ between(X0,X1,X2)
| inner_pasch(X0,X1,X2,X2,X1) = X1 ),
inference(superposition,[status(thm)],[c_642,c_637]) ).
cnf(c_7262,plain,
( ~ between(v,X0,w)
| inner_pasch(v,X0,w,v,u) = v ),
inference(superposition,[status(thm)],[c_49,c_702]) ).
cnf(c_8707,plain,
inner_pasch(v,w,w,v,u) = v,
inference(superposition,[status(thm)],[c_642,c_7262]) ).
cnf(c_9213,plain,
( ~ between(u,v,w)
| ~ between(v,w,w)
| between(w,v,u) ),
inference(superposition,[status(thm)],[c_8707,c_59]) ).
cnf(c_9214,plain,
between(w,v,u),
inference(forward_subsumption_resolution,[status(thm)],[c_9213,c_642,c_49]) ).
cnf(c_9216,plain,
( ~ between(X0,w,u)
| inner_pasch(X0,w,u,v,w) = w ),
inference(superposition,[status(thm)],[c_9214,c_637]) ).
cnf(c_20030,plain,
inner_pasch(X0,X1,extension(X0,X1,X2,X3),extension(X0,X1,X2,X3),X1) = X1,
inference(superposition,[status(thm)],[c_55,c_7187]) ).
cnf(c_20255,plain,
( ~ between(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3))
| ~ between(X1,X0,extension(X1,X0,X2,X3))
| between(extension(X1,X0,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_20030,c_60]) ).
cnf(c_20257,plain,
between(extension(X0,X1,X2,X3),X1,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_20255,c_55,c_642]) ).
cnf(c_23085,plain,
( ~ equidistant(w,X0,v,X1)
| ~ equidistant(w,v,v,w)
| ~ between(u,v,X1)
| ~ between(u,w,X0)
| u = w
| equidistant(X0,v,X1,w) ),
inference(superposition,[status(thm)],[c_50,c_1093]) ).
cnf(c_23152,plain,
( ~ equidistant(w,X0,v,X1)
| ~ between(u,v,X1)
| ~ between(u,w,X0)
| u = w
| equidistant(X0,v,X1,w) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23085,c_52]) ).
cnf(c_24317,plain,
inner_pasch(extension(u,w,X0,X1),w,u,v,w) = w,
inference(superposition,[status(thm)],[c_20257,c_9216]) ).
cnf(c_24322,plain,
( ~ between(extension(u,w,X0,X1),w,u)
| ~ between(w,v,u)
| between(v,w,extension(u,w,X0,X1)) ),
inference(superposition,[status(thm)],[c_24317,c_60]) ).
cnf(c_24324,plain,
between(v,w,extension(u,w,X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_24322,c_9214,c_20257]) ).
cnf(c_100850,plain,
( ~ between(u,w,extension(X0,w,v,X1))
| ~ between(u,v,X1)
| u = w
| equidistant(extension(X0,w,v,X1),v,X1,w) ),
inference(superposition,[status(thm)],[c_56,c_23152]) ).
cnf(c_156724,plain,
( ~ between(u,w,extension(X0,w,v,w))
| ~ between(u,v,w)
| extension(X0,w,v,w) = v
| u = w ),
inference(superposition,[status(thm)],[c_100850,c_54]) ).
cnf(c_156725,plain,
( ~ between(u,w,extension(X0,w,v,w))
| extension(X0,w,v,w) = v
| u = w ),
inference(forward_subsumption_resolution,[status(thm)],[c_156724,c_49]) ).
cnf(c_156831,plain,
( extension(u,w,v,w) = v
| u = w ),
inference(superposition,[status(thm)],[c_55,c_156725]) ).
cnf(c_157184,plain,
( u = w
| between(v,w,v) ),
inference(superposition,[status(thm)],[c_156831,c_24324]) ).
cnf(c_159779,plain,
u = w,
inference(global_subsumption_just,[status(thm)],[c_157184,c_51,c_769,c_157184]) ).
cnf(c_160974,plain,
between(u,v,u),
inference(demodulation,[status(thm)],[c_49,c_159779]) ).
cnf(c_160975,plain,
u != v,
inference(demodulation,[status(thm)],[c_300,c_159779]) ).
cnf(c_164276,plain,
u = v,
inference(superposition,[status(thm)],[c_160974,c_58]) ).
cnf(c_164277,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_164276,c_160975]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 01:24:36 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 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
% 76.21/10.78 % SZS status Started for theBenchmark.p
% 76.21/10.78 % SZS status Unsatisfiable for theBenchmark.p
% 76.21/10.78
% 76.21/10.78 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 76.21/10.78
% 76.21/10.78 ------ iProver source info
% 76.21/10.78
% 76.21/10.78 git: date: 2024-05-02 19:28:25 +0000
% 76.21/10.78 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 76.21/10.78 git: non_committed_changes: false
% 76.21/10.78
% 76.21/10.78 ------ Parsing...successful
% 76.21/10.78
% 76.21/10.78
% 76.21/10.78
% 76.21/10.78 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 76.21/10.78
% 76.21/10.78 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 76.21/10.78
% 76.21/10.78 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 76.21/10.78 ------ Proving...
% 76.21/10.78 ------ Problem Properties
% 76.21/10.78
% 76.21/10.78
% 76.21/10.78 clauses 21
% 76.21/10.78 conjectures 1
% 76.21/10.78 EPR 12
% 76.21/10.78 Horn 16
% 76.21/10.78 unary 9
% 76.21/10.78 binary 2
% 76.21/10.78 lits 59
% 76.21/10.78 lits eq 8
% 76.21/10.78 fd_pure 0
% 76.21/10.78 fd_pseudo 0
% 76.21/10.78 fd_cond 0
% 76.21/10.78 fd_pseudo_cond 7
% 76.21/10.78 AC symbols 0
% 76.21/10.78
% 76.21/10.78 ------ Schedule dynamic 5 is on
% 76.21/10.78
% 76.21/10.78 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 76.21/10.78
% 76.21/10.78
% 76.21/10.78 ------
% 76.21/10.78 Current options:
% 76.21/10.78 ------
% 76.21/10.78
% 76.21/10.78
% 76.21/10.78
% 76.21/10.78
% 76.21/10.78 ------ Proving...
% 76.21/10.78
% 76.21/10.78
% 76.21/10.78 % SZS status Unsatisfiable for theBenchmark.p
% 76.21/10.78
% 76.21/10.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 76.21/10.78
% 76.21/10.79
%------------------------------------------------------------------------------