%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO007-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:19:30 PM UTC 2026
% Result : Unsatisfiable 8.04s 1.76s
% Output : CNFRefutation 8.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 51 ( 24 unt; 0 def)
% Number of atoms : 104 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 104 ( 51 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 99 ( 0 sgn 99 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',identity_for_betweeness) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( between(X0,X1,X3)
| ~ between(X1,X3,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',transitivity_for_betweeness) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( between(X0,X3,X2)
| between(X0,X2,X3)
| X0 = X1
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',connectivity_for_betweeness) ).
fof(f5,axiom,
! [X2,X0,X1] :
( X0 = X1
| ~ equidistant(X0,X1,X2,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4] :
( between(X0,outer_pasch(X1,X0,X3,X4,X2),X3)
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,X1,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).
fof(f13,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).
fof(f14,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).
fof(f21,axiom,
a != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
fof(f22,axiom,
between(d,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_c) ).
fof(f23,axiom,
between(e,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_e) ).
fof(f24,axiom,
~ between(d,e,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_not_between_d_and_a) ).
fof(f25,negated_conjecture,
~ between(e,d,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_between_e_and_a) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ between(X0,X1,X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X3,X0,X1)
| ~ between(X3,X0,X2)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X0,X3,X2)
| between(X0,X2,X3)
| ( X0 = X1 )
| ~ between(X0,X1,X3)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ equidistant(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between(X0,outer_pasch(X1,X0,X3,X4,X2),X3)
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between(X4,X1,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f14]) ).
tcf(c_94,plain,
a != c,
inference(cnf_transformation,[],[f21]) ).
tcf(c_95,plain,
between(d,a,c),
inference(cnf_transformation,[],[f22]) ).
tcf(c_96,plain,
between(e,a,c),
inference(cnf_transformation,[],[f23]) ).
tcf(c_97,plain,
~ between(d,e,a),
inference(cnf_transformation,[],[f24]) ).
tcf(c_98,negated_conjecture,
~ between(e,d,a),
inference(cnf_transformation,[],[f25]) ).
tcf(c_366,negated_conjecture,
~ between(e,d,a),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_711,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_87,c_78]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(superposition,[status(thm)],[c_711,c_86]) ).
tcf(c_823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( outer_pasch(X1,X0,X0,X3,X2) = X0 )
| ~ between(X0,X2,X3)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_80,c_74]) ).
tcf(c_825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( between(X5,X0,outer_pasch(X1,X0,X3,X4,X2))
| ~ between(X5,X0,X3)
| ~ between(X3,X2,X4)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_80,c_75]) ).
tcf(c_1029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( between(X0,X1,X3)
| ~ between(X4,X6,X5)
| ~ between(X3,X2,X6)
| ~ between(X1,X3,X4)
| ~ between(X0,X1,outer_pasch(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_825,c_75]) ).
tcf(c_2385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( between(X4,X1,X0)
| ~ between(X3,X2,X4)
| ~ between(X1,X0,X3)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_81,c_1029]) ).
tcf(c_2605,plain,
! [X0: $i] :
( ( outer_pasch(a,d,d,X0,c) = d )
| ~ between(d,c,X0) ),
inference(superposition,[status(thm)],[c_95,c_823]) ).
tcf(c_2606,plain,
! [X0: $i] :
( ( outer_pasch(a,e,e,X0,c) = e )
| ~ between(e,c,X0) ),
inference(superposition,[status(thm)],[c_96,c_823]) ).
tcf(c_2678,plain,
outer_pasch(a,d,d,c,c) = d,
inference(superposition,[status(thm)],[c_713,c_2605]) ).
tcf(c_2721,plain,
( between(c,a,d)
| ~ between(d,c,c)
| ~ between(d,a,c) ),
inference(superposition,[status(thm)],[c_2678,c_81]) ).
tcf(c_2725,plain,
between(c,a,d),
inference(forward_subsumption_resolution,[status(thm)],[c_2721,c_713,c_95]) ).
tcf(c_2744,plain,
! [X0: $i] :
( between(c,d,X0)
| between(c,X0,d)
| ( a = c )
| ~ between(c,a,X0) ),
inference(superposition,[status(thm)],[c_2725,c_76]) ).
tcf(c_2748,plain,
! [X0: $i] :
( between(c,d,X0)
| between(c,X0,d)
| ~ between(c,a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2744,c_94]) ).
tcf(c_2851,plain,
outer_pasch(a,e,e,c,c) = e,
inference(superposition,[status(thm)],[c_713,c_2606]) ).
tcf(c_2881,plain,
( between(c,a,e)
| ~ between(e,c,c)
| ~ between(e,a,c) ),
inference(superposition,[status(thm)],[c_2851,c_81]) ).
tcf(c_2885,plain,
between(c,a,e),
inference(forward_subsumption_resolution,[status(thm)],[c_2881,c_713,c_96]) ).
tcf(c_2893,plain,
( between(c,e,d)
| between(c,d,e) ),
inference(superposition,[status(thm)],[c_2885,c_2748]) ).
tcf(c_4346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( between(X3,X0,X1)
| ~ between(X2,X0,X3)
| ~ between(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_713,c_2385]) ).
tcf(c_8643,plain,
! [X0: $i] :
( between(X0,d,a)
| ~ between(c,d,X0) ),
inference(superposition,[status(thm)],[c_95,c_4346]) ).
tcf(c_8644,plain,
! [X0: $i] :
( between(X0,e,a)
| ~ between(c,e,X0) ),
inference(superposition,[status(thm)],[c_96,c_4346]) ).
tcf(c_9676,plain,
( between(d,e,a)
| between(c,d,e) ),
inference(superposition,[status(thm)],[c_2893,c_8644]) ).
tcf(c_9677,plain,
between(c,d,e),
inference(forward_subsumption_resolution,[status(thm)],[c_9676,c_97]) ).
tcf(c_9757,plain,
between(e,d,a),
inference(superposition,[status(thm)],[c_9677,c_8643]) ).
tcf(c_9760,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9757,c_366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO007-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 10:21:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.42
% 0.13/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42
% 0.13/0.42 % Detected problem language: tptp
% 0.13/0.43 % Proving...
% 8.04/1.76 % SZS status Started for theBenchmark.p
% 8.04/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 8.04/1.76
% 8.04/1.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.04/1.76
% 8.04/1.76 % ------ iProver source info
% 8.04/1.76
% 8.04/1.76 % git: date: 2026-07-19 20:42:38 +0200
% 8.04/1.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.04/1.76 % git: non_committed_changes: false
% 8.04/1.76
% 8.04/1.76 % ------ Parsing...% successful
% 8.04/1.76
% 8.04/1.76
% 8.04/1.76 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.04/1.76
% 8.04/1.76 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 8.04/1.76
% 8.04/1.76 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.04/1.76
% 8.04/1.76 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.04/1.76 % ------ Proving...
% 8.04/1.76 % ------ Problem Properties
% 8.04/1.76
% 8.04/1.76 %
% 8.04/1.76 % clauses 25
% 8.04/1.76 % conjectures 1
% 8.04/1.76 % EPR 16
% 8.04/1.76 % Horn 19
% 8.04/1.76 % unary 11
% 8.04/1.76 % binary 2
% 8.04/1.76 % lits 69
% 8.04/1.76 % lits eq 9
% 8.04/1.76 % fd_pure 0
% 8.04/1.76 % fd_pseudo 0
% 8.04/1.76 % fd_cond 0
% 8.04/1.76 % fd_pseudo_cond 8
% 8.04/1.76 % AC symbols 0
% 8.04/1.76
% 8.04/1.76 % ------ Schedule dynamic 5 is on
% 8.04/1.76
% 8.04/1.76 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.04/1.76
% 8.04/1.76
% 8.04/1.76 % ------
% 8.04/1.76 % Current options:
% 8.04/1.76 % ------
% 8.04/1.76
% 8.04/1.76
% 8.04/1.76 %
% 8.04/1.76
% 8.04/1.76 % ------ Proving...
% 8.04/1.76 %
% 8.04/1.76
% 8.04/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 8.04/1.76
% 8.04/1.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.04/1.76
% 8.04/1.76
%------------------------------------------------------------------------------