TSTP Solution File: GEO030-3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO030-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 02:16:08 EDT 2024
% Result : Unsatisfiable 10.36s 2.15s
% Output : CNFRefutation 10.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of clauses : 51 ( 17 unt; 18 nHn; 49 RR)
% Number of literals : 162 ( 27 equ; 96 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 : 95 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
equidistant(X0,X1,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
cnf(c_50,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
cnf(c_53,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_2) ).
cnf(c_54,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_3) ).
cnf(c_55,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_4) ).
cnf(c_56,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X3,X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_5) ).
cnf(c_66,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X1,X4,X3,X5)
| ~ between(X0,X1,X4)
| ~ between(X2,X3,X5)
| equidistant(X0,X4,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8) ).
cnf(c_73,plain,
between(X0,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).
cnf(c_82,plain,
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
cnf(c_84,plain,
( ~ between(X0,X1,X2)
| ~ between(X1,X2,X3)
| X1 = X2
| between(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b7) ).
cnf(c_94,plain,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
cnf(c_95,plain,
equidistant(u,w,u,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_w_equals_u_to_w1) ).
cnf(c_96,plain,
equidistant(v,w,v,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v_to_w1) ).
cnf(c_97,plain,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
cnf(c_98,negated_conjecture,
w != w1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_is_w1) ).
cnf(c_102,plain,
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
cnf(c_105,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X4,X2,X5)
| ~ equidistant(X4,X1,X5,X3)
| ~ equidistant(X4,X6,X5,X7)
| ~ between(X0,X4,X6)
| ~ between(X2,X5,X7)
| X0 = X4
| equidistant(X6,X1,X7,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',outer_five_segment) ).
cnf(c_1930,plain,
( ~ between(v,w,X0)
| v = w
| between(u,v,X0) ),
inference(superposition,[status(thm)],[c_94,c_84]) ).
cnf(c_2009,plain,
( ~ between(u,w,X0)
| between(v,w,X0) ),
inference(superposition,[status(thm)],[c_94,c_82]) ).
cnf(c_2098,plain,
between(v,w,w),
inference(superposition,[status(thm)],[c_73,c_2009]) ).
cnf(c_2206,plain,
equidistant(w1,u,w,u),
inference(superposition,[status(thm)],[c_95,c_56]) ).
cnf(c_2225,plain,
equidistant(v,w1,w,v),
inference(superposition,[status(thm)],[c_96,c_54]) ).
cnf(c_2260,plain,
equidistant(u,w1,u,w),
inference(superposition,[status(thm)],[c_95,c_50]) ).
cnf(c_2261,plain,
equidistant(v,w1,v,w),
inference(superposition,[status(thm)],[c_96,c_50]) ).
cnf(c_2383,plain,
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X3,X0,X1)
| ~ between(X3,X0,X2)
| equidistant(X3,X1,X3,X2) ),
inference(superposition,[status(thm)],[c_49,c_66]) ).
cnf(c_2460,plain,
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X1,X3,X2,X3)
| ~ equidistant(X1,X4,X2,X5)
| ~ between(X0,X1,X4)
| ~ between(X0,X2,X5)
| X0 = X1
| equidistant(X4,X3,X5,X3) ),
inference(superposition,[status(thm)],[c_49,c_105]) ).
cnf(c_2463,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,w,X2,w1)
| ~ equidistant(v,X0,v,X2)
| ~ between(v,X0,X1)
| ~ between(v,X2,X3)
| X0 = v
| equidistant(X1,w,X3,w1) ),
inference(superposition,[status(thm)],[c_96,c_105]) ).
cnf(c_2592,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,w1,X2,v)
| ~ equidistant(v,X0,w,X2)
| ~ between(v,X0,X1)
| ~ between(w,X2,X3)
| X0 = v
| equidistant(X1,w1,X3,v) ),
inference(superposition,[status(thm)],[c_2225,c_105]) ).
cnf(c_2750,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,w1,X2,w)
| ~ equidistant(v,X0,v,X2)
| ~ between(v,X0,X1)
| ~ between(v,X2,X3)
| X0 = v
| equidistant(X1,w1,X3,w) ),
inference(superposition,[status(thm)],[c_2261,c_105]) ).
cnf(c_2776,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,w1,X2,w)
| ~ equidistant(u,X0,u,X2)
| ~ between(u,X0,X1)
| ~ between(u,X2,X3)
| X0 = u
| equidistant(X1,w1,X3,w) ),
inference(superposition,[status(thm)],[c_2260,c_105]) ).
cnf(c_3039,plain,
( ~ between(X0,v,w)
| ~ between(X0,v,w1)
| equidistant(X0,w1,X0,w) ),
inference(superposition,[status(thm)],[c_2261,c_2383]) ).
cnf(c_3336,plain,
( ~ equidistant(w1,X0,w,X0)
| ~ equidistant(w1,X1,w,X2)
| ~ between(v,w,X2)
| ~ between(v,w1,X1)
| v = w1
| equidistant(X1,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_2261,c_2460]) ).
cnf(c_3884,plain,
( ~ equidistant(v,w1,w,w)
| ~ equidistant(w1,w1,w,v)
| ~ between(v,w1,u)
| ~ between(w,w,u)
| v = w1
| equidistant(u,w1,u,v) ),
inference(superposition,[status(thm)],[c_2206,c_2592]) ).
cnf(c_4532,plain,
( ~ equidistant(X0,w1,X0,w)
| ~ equidistant(u,X0,u,X0)
| ~ between(u,X0,X1)
| X0 = u
| equidistant(X1,w1,X1,w) ),
inference(superposition,[status(thm)],[c_49,c_2776]) ).
cnf(c_5043,plain,
( ~ between(X0,v,w)
| ~ between(X0,v,w1)
| equidistant(w1,X0,w,X0) ),
inference(superposition,[status(thm)],[c_3039,c_53]) ).
cnf(c_5045,plain,
( ~ between(X0,v,w)
| ~ between(X0,v,w1)
| equidistant(w,X0,X0,w1) ),
inference(superposition,[status(thm)],[c_3039,c_55]) ).
cnf(c_5046,plain,
( ~ between(X0,v,w)
| ~ between(X0,v,w1)
| equidistant(w,X0,w1,X0) ),
inference(superposition,[status(thm)],[c_3039,c_56]) ).
cnf(c_7727,plain,
( ~ equidistant(v,w1,w,w)
| v = w1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3884,c_102,c_102,c_102,c_102]) ).
cnf(c_9049,plain,
( ~ equidistant(X0,w1,X0,w)
| ~ between(u,X0,X1)
| X0 = u
| equidistant(X1,w1,X1,w) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4532,c_49]) ).
cnf(c_9059,plain,
( ~ between(u,v,X0)
| u = v
| equidistant(X0,w1,X0,w) ),
inference(superposition,[status(thm)],[c_2261,c_9049]) ).
cnf(c_9343,plain,
( ~ equidistant(v,w,v,w1)
| ~ equidistant(w,w1,w1,w)
| ~ between(X0,v,w)
| ~ between(X0,v,w1)
| ~ between(v,w,X0)
| ~ between(v,w1,X0)
| v = w
| equidistant(X0,w1,X0,w) ),
inference(superposition,[status(thm)],[c_5046,c_2750]) ).
cnf(c_9423,plain,
( ~ equidistant(v,w,v,X0)
| ~ equidistant(w,w,X0,w1)
| ~ between(X0,v,w)
| ~ between(X0,v,w1)
| ~ between(v,X0,w1)
| ~ between(v,w,X0)
| v = w
| equidistant(X0,w,w1,w1) ),
inference(superposition,[status(thm)],[c_5045,c_2463]) ).
cnf(c_9845,plain,
( ~ equidistant(w1,X0,w,X1)
| ~ between(X2,v,w)
| ~ between(X2,v,w1)
| ~ between(v,w,X1)
| ~ between(v,w1,X0)
| v = w1
| equidistant(X0,X2,X1,X2) ),
inference(superposition,[status(thm)],[c_5043,c_3336]) ).
cnf(c_19496,plain,
( ~ between(v,w,X0)
| v = w
| equidistant(X0,w1,X0,w) ),
inference(global_subsumption_just,[status(thm)],[c_9343,c_97,c_1930,c_9059]) ).
cnf(c_19560,plain,
( ~ between(v,w,w)
| v = w
| w = w1 ),
inference(superposition,[status(thm)],[c_19496,c_102]) ).
cnf(c_20134,plain,
v = w,
inference(global_subsumption_just,[status(thm)],[c_9423,c_98,c_2098,c_19560]) ).
cnf(c_20293,plain,
( ~ equidistant(v,w1,v,v)
| v = w1 ),
inference(superposition,[status(thm)],[c_20134,c_7727]) ).
cnf(c_20392,plain,
equidistant(v,w1,v,v),
inference(superposition,[status(thm)],[c_20134,c_2225]) ).
cnf(c_22729,plain,
v = w1,
inference(global_subsumption_just,[status(thm)],[c_9845,c_20392,c_20293]) ).
cnf(c_22979,plain,
v != w,
inference(superposition,[status(thm)],[c_22729,c_98]) ).
cnf(c_22980,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_20134,c_22979]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO030-3 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n020.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 : Fri May 3 01:21:16 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 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
% 10.36/2.15 % SZS status Started for theBenchmark.p
% 10.36/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 10.36/2.15
% 10.36/2.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.36/2.15
% 10.36/2.15 ------ iProver source info
% 10.36/2.15
% 10.36/2.15 git: date: 2024-05-02 19:28:25 +0000
% 10.36/2.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.36/2.15 git: non_committed_changes: false
% 10.36/2.15
% 10.36/2.15 ------ Parsing...successful
% 10.36/2.15
% 10.36/2.15
% 10.36/2.15
% 10.36/2.15 ------ Preprocessing... sup_sim: 2 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
% 10.36/2.15
% 10.36/2.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.36/2.15
% 10.36/2.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.36/2.15 ------ Proving...
% 10.36/2.15 ------ Problem Properties
% 10.36/2.15
% 10.36/2.15
% 10.36/2.15 clauses 62
% 10.36/2.15 conjectures 1
% 10.36/2.15 EPR 40
% 10.36/2.15 Horn 50
% 10.36/2.15 unary 26
% 10.36/2.15 binary 13
% 10.36/2.15 lits 145
% 10.36/2.15 lits eq 31
% 10.36/2.15 fd_pure 0
% 10.36/2.15 fd_pseudo 0
% 10.36/2.15 fd_cond 0
% 10.36/2.15 fd_pseudo_cond 15
% 10.36/2.15 AC symbols 0
% 10.36/2.15
% 10.36/2.15 ------ Input Options Time Limit: Unbounded
% 10.36/2.15
% 10.36/2.15
% 10.36/2.15 ------
% 10.36/2.15 Current options:
% 10.36/2.15 ------
% 10.36/2.15
% 10.36/2.15
% 10.36/2.15
% 10.36/2.15
% 10.36/2.15 ------ Proving...
% 10.36/2.15
% 10.36/2.15
% 10.36/2.15 ------ Proving...
% 10.36/2.15
% 10.36/2.15
% 10.36/2.15 ------ Proving...
% 10.36/2.15
% 10.36/2.15
% 10.36/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 10.36/2.15
% 10.36/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.36/2.15
% 10.44/2.15
%------------------------------------------------------------------------------