TSTP Solution File: GEO053-2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 23:09:04 EDT 2023
% Result : Unsatisfiable 50.61s 7.76s
% Output : CNFRefutation 50.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of clauses : 41 ( 19 unt; 3 nHn; 36 RR)
% Number of literals : 89 ( 20 equ; 46 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 2 ( 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 : 83 ( 5 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_1265,plain,
extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_56,c_54]) ).
cnf(c_1369,plain,
between(X0,X1,X1),
inference(superposition,[status(thm)],[c_1265,c_55]) ).
cnf(c_13319,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_13335,plain,
( ~ between(X0,X1,X2)
| inner_pasch(X0,X1,X2,X2,X1) = X1 ),
inference(superposition,[status(thm)],[c_1369,c_13319]) ).
cnf(c_13372,plain,
inner_pasch(u,v,w,w,v) = v,
inference(superposition,[status(thm)],[c_49,c_13335]) ).
cnf(c_13405,plain,
( ~ equidistant(u,v,X0,X1)
| equidistant(u,w,X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_53]) ).
cnf(c_13406,plain,
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X1,X0,X2,X3) ),
inference(superposition,[status(thm)],[c_52,c_53]) ).
cnf(c_13422,plain,
equidistant(u,w,v,u),
inference(superposition,[status(thm)],[c_52,c_13405]) ).
cnf(c_13429,plain,
( ~ between(u,v,w)
| ~ between(v,w,w)
| between(w,v,u) ),
inference(superposition,[status(thm)],[c_13372,c_60]) ).
cnf(c_13435,plain,
between(w,v,u),
inference(forward_subsumption_resolution,[status(thm)],[c_13429,c_1369,c_49]) ).
cnf(c_13562,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X2,X1,X0,X3)
| ~ equidistant(X2,X4,X0,X5)
| ~ between(X0,X2,X4)
| ~ between(X2,X0,X5)
| X0 = X2
| equidistant(X4,X1,X5,X3) ),
inference(superposition,[status(thm)],[c_52,c_57]) ).
cnf(c_13834,plain,
( ~ equidistant(u,w,X0,X1)
| equidistant(v,u,X0,X1) ),
inference(superposition,[status(thm)],[c_13422,c_53]) ).
cnf(c_13906,plain,
equidistant(w,u,v,u),
inference(superposition,[status(thm)],[c_13422,c_13406]) ).
cnf(c_14270,plain,
equidistant(v,u,w,u),
inference(superposition,[status(thm)],[c_52,c_13834]) ).
cnf(c_59499,plain,
( ~ equidistant(w,X0,v,X1)
| ~ equidistant(w,u,v,u)
| ~ between(v,w,X0)
| ~ between(w,v,X1)
| v = w
| equidistant(X0,u,X1,u) ),
inference(superposition,[status(thm)],[c_14270,c_13562]) ).
cnf(c_59554,plain,
( ~ equidistant(w,X0,v,X1)
| ~ between(v,w,X0)
| ~ between(w,v,X1)
| equidistant(X0,u,X1,u) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59499,c_51,c_13906]) ).
cnf(c_64692,plain,
( ~ between(v,w,extension(X0,w,v,X1))
| ~ between(w,v,X1)
| equidistant(extension(X0,w,v,X1),u,X1,u) ),
inference(superposition,[status(thm)],[c_56,c_59554]) ).
cnf(c_67610,plain,
( ~ between(v,w,extension(X0,w,v,u))
| ~ between(w,v,u)
| extension(X0,w,v,u) = u ),
inference(superposition,[status(thm)],[c_64692,c_54]) ).
cnf(c_67611,plain,
( ~ between(v,w,extension(X0,w,v,u))
| extension(X0,w,v,u) = u ),
inference(forward_subsumption_resolution,[status(thm)],[c_67610,c_13435]) ).
cnf(c_71972,plain,
extension(v,w,v,u) = u,
inference(superposition,[status(thm)],[c_55,c_67611]) ).
cnf(c_72035,plain,
between(v,w,u),
inference(superposition,[status(thm)],[c_71972,c_55]) ).
cnf(c_230233,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_230294,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_234462,plain,
( ~ between(X0,v,u)
| inner_pasch(X0,v,u,w,v) = v ),
inference(superposition,[status(thm)],[c_72035,c_230233]) ).
cnf(c_234529,plain,
inner_pasch(w,v,u,w,v) = v,
inference(superposition,[status(thm)],[c_13435,c_234462]) ).
cnf(c_234750,plain,
( ~ between(w,X0,u)
| inner_pasch(w,X0,u,w,v) = w ),
inference(superposition,[status(thm)],[c_72035,c_230294]) ).
cnf(c_235119,plain,
inner_pasch(w,v,u,w,v) = w,
inference(superposition,[status(thm)],[c_13435,c_234750]) ).
cnf(c_235120,plain,
v = w,
inference(light_normalisation,[status(thm)],[c_235119,c_234529]) ).
cnf(c_235121,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_235120,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n025.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 23:20:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 50.61/7.76 % SZS status Started for theBenchmark.p
% 50.61/7.76 % SZS status Unsatisfiable for theBenchmark.p
% 50.61/7.76
% 50.61/7.76 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 50.61/7.76
% 50.61/7.76 ------ iProver source info
% 50.61/7.76
% 50.61/7.76 git: date: 2023-05-31 18:12:56 +0000
% 50.61/7.76 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 50.61/7.76 git: non_committed_changes: false
% 50.61/7.76 git: last_make_outside_of_git: false
% 50.61/7.76
% 50.61/7.76 ------ Parsing...successful
% 50.61/7.76
% 50.61/7.76
% 50.61/7.76
% 50.61/7.76 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 50.61/7.76
% 50.61/7.76 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 50.61/7.76
% 50.61/7.76 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 50.61/7.76 ------ Proving...
% 50.61/7.76 ------ Problem Properties
% 50.61/7.76
% 50.61/7.76
% 50.61/7.76 clauses 21
% 50.61/7.76 conjectures 1
% 50.61/7.76 EPR 12
% 50.61/7.76 Horn 16
% 50.61/7.76 unary 9
% 50.61/7.76 binary 2
% 50.61/7.76 lits 59
% 50.61/7.76 lits eq 8
% 50.61/7.76 fd_pure 0
% 50.61/7.76 fd_pseudo 0
% 50.61/7.76 fd_cond 0
% 50.61/7.76 fd_pseudo_cond 7
% 50.61/7.76 AC symbols 0
% 50.61/7.76
% 50.61/7.76 ------ Schedule dynamic 5 is on
% 50.61/7.76
% 50.61/7.76 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 50.61/7.76
% 50.61/7.76
% 50.61/7.76 ------
% 50.61/7.76 Current options:
% 50.61/7.76 ------
% 50.61/7.76
% 50.61/7.76
% 50.61/7.76
% 50.61/7.76
% 50.61/7.76 ------ Proving...
% 50.61/7.76
% 50.61/7.76
% 50.61/7.76 % SZS status Unsatisfiable for theBenchmark.p
% 50.61/7.76
% 50.61/7.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.61/7.76
% 50.61/7.76
%------------------------------------------------------------------------------