TSTP Solution File: GEO026-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO026-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 02:16:06 EDT 2024
% Result : Unsatisfiable 0.47s 1.16s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 11 unt; 11 nHn; 19 RR)
% Number of literals : 78 ( 15 equ; 43 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 65 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(c_50,plain,
between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).
cnf(c_51,plain,
equidistant(v,w,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v_to_x) ).
cnf(c_52,plain,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
cnf(c_53,negated_conjecture,
w != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_is_x) ).
cnf(c_54,plain,
equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).
cnf(c_55,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
cnf(c_56,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(c_59,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/sandbox/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(c_650,plain,
( ~ equidistant(v,w,X0,X1)
| equidistant(v,x,X0,X1) ),
inference(superposition,[status(thm)],[c_51,c_55]) ).
cnf(c_651,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X2,X3) ),
inference(superposition,[status(thm)],[c_54,c_55]) ).
cnf(c_693,plain,
equidistant(X0,X1,X0,X1),
inference(superposition,[status(thm)],[c_54,c_651]) ).
cnf(c_763,plain,
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X3,X4,X3,X5)
| ~ between(X0,X3,X4)
| ~ between(X0,X3,X5)
| X0 = X3
| equidistant(X4,X1,X5,X2) ),
inference(superposition,[status(thm)],[c_693,c_59]) ).
cnf(c_767,plain,
equidistant(v,x,v,w),
inference(superposition,[status(thm)],[c_693,c_650]) ).
cnf(c_923,plain,
( ~ equidistant(X0,X1,X0,X1)
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X1,X0,X2)
| ~ between(X1,X0,X3)
| X0 = X1
| equidistant(X2,X1,X3,X1) ),
inference(superposition,[status(thm)],[c_54,c_763]) ).
cnf(c_924,plain,
( ~ equidistant(X0,X1,X0,X1)
| ~ equidistant(X0,X2,X0,X3)
| ~ between(X4,X0,X2)
| ~ between(X4,X0,X3)
| X0 = X4
| equidistant(X2,X1,X3,X1) ),
inference(superposition,[status(thm)],[c_693,c_763]) ).
cnf(c_1141,plain,
( ~ equidistant(X0,X2,X0,X3)
| ~ between(X4,X0,X2)
| ~ between(X4,X0,X3)
| X0 = X4
| equidistant(X2,X1,X3,X1) ),
inference(global_subsumption_just,[status(thm)],[c_924,c_693,c_924]) ).
cnf(c_1142,plain,
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X3,X0,X1)
| ~ between(X3,X0,X2)
| X0 = X3
| equidistant(X1,X4,X2,X4) ),
inference(renaming,[status(thm)],[c_1141]) ).
cnf(c_1156,plain,
( ~ between(X0,v,w)
| ~ between(X0,v,x)
| X0 = v
| equidistant(x,X1,w,X1) ),
inference(superposition,[status(thm)],[c_767,c_1142]) ).
cnf(c_1212,plain,
( ~ equidistant(X0,X2,X0,X3)
| ~ between(X1,X0,X2)
| ~ between(X1,X0,X3)
| X0 = X1
| equidistant(X2,X1,X3,X1) ),
inference(global_subsumption_just,[status(thm)],[c_923,c_693,c_923]) ).
cnf(c_1213,plain,
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X3,X0,X1)
| ~ between(X3,X0,X2)
| X0 = X3
| equidistant(X1,X3,X2,X3) ),
inference(renaming,[status(thm)],[c_1212]) ).
cnf(c_1227,plain,
( ~ between(X0,v,w)
| ~ between(X0,v,x)
| X0 = v
| equidistant(x,X0,w,X0) ),
inference(superposition,[status(thm)],[c_767,c_1213]) ).
cnf(c_1570,plain,
( ~ between(u,v,w)
| u = v
| equidistant(x,X0,w,X0) ),
inference(superposition,[status(thm)],[c_50,c_1156]) ).
cnf(c_1586,plain,
equidistant(x,X0,w,X0),
inference(global_subsumption_just,[status(thm)],[c_1227,c_49,c_52,c_1570]) ).
cnf(c_1592,plain,
w = x,
inference(superposition,[status(thm)],[c_1586,c_56]) ).
cnf(c_1598,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_1592]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO026-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n003.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 01:28:50 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 0.47/1.16 % SZS status Started for theBenchmark.p
% 0.47/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.16
% 0.47/1.16 ------ iProver source info
% 0.47/1.16
% 0.47/1.16 git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.16 git: non_committed_changes: false
% 0.47/1.16
% 0.47/1.16 ------ Parsing...successful
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.47/1.16 ------ Proving...
% 0.47/1.16 ------ Problem Properties
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 clauses 23
% 0.47/1.16 conjectures 1
% 0.47/1.16 EPR 14
% 0.47/1.16 Horn 18
% 0.47/1.16 unary 11
% 0.47/1.16 binary 2
% 0.47/1.16 lits 61
% 0.47/1.16 lits eq 9
% 0.47/1.16 fd_pure 0
% 0.47/1.16 fd_pseudo 0
% 0.47/1.16 fd_cond 0
% 0.47/1.16 fd_pseudo_cond 7
% 0.47/1.16 AC symbols 0
% 0.47/1.16
% 0.47/1.16 ------ Input Options Time Limit: Unbounded
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------
% 0.47/1.16 Current options:
% 0.47/1.16 ------
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ Proving...
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ Proving...
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ Proving...
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.16
% 0.47/1.16
%------------------------------------------------------------------------------