%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO003-1 : 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 : n003.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 01:19:29 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.87s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 10 unt; 0 def)
% Number of atoms : 14 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
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(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,negated_conjecture,
~ between(a,b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_between_a_and_b) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ equidistant(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f14]) ).
tcf(c_90,negated_conjecture,
~ between(a,b,b),
inference(cnf_transformation,[],[f21]) ).
tcf(c_350,negated_conjecture,
~ between(a,b,b),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_83,c_74]) ).
tcf(c_730,plain,
! [X0: $i,X1: $i] : between(X0,X1,X1),
inference(superposition,[status(thm)],[c_689,c_82]) ).
tcf(c_732,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_350,c_730]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO003-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.92 % Computer : n003.cluster.edu
% 0.09/0.92 % Model : x86_64 x86_64
% 0.09/0.92 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.92 % Memory : 8046.5625MB
% 0.09/0.92 % OS : Linux 6.8.0-71-generic
% 0.09/0.92 % CPULimit : 300
% 0.09/0.92 % WCLimit : 300
% 0.09/0.92 % DateTime : Wed Sep 23 10:19:20 UTC 2026
% 0.09/0.92 % CPUTime :
% 0.09/0.92 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.96 Running first-order theorem proving
% 0.09/0.96 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
% 0.09/0.99
% 0.09/0.99 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.99
% 0.09/0.99 % Detected problem language: tptp
% 0.09/1.00 % Proving...
% 1.25/1.87 % SZS status Started for theBenchmark.p
% 1.25/1.87 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.87
% 1.25/1.87 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.25/1.87
% 1.25/1.87 % ------ iProver source info
% 1.25/1.87
% 1.25/1.87 % git: date: 2026-07-19 20:42:38 +0200
% 1.25/1.87 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.25/1.87 % git: non_committed_changes: false
% 1.25/1.87
% 1.25/1.87 % ------ Parsing...% successful
% 1.25/1.87
% 1.25/1.87
% 1.25/1.87 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.25/1.87
% 1.25/1.87 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.25/1.87
% 1.25/1.87 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.25/1.87
% 1.25/1.87 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.25/1.87 % ------ Proving...
% 1.25/1.87 % ------ Problem Properties
% 1.25/1.87
% 1.25/1.87 %
% 1.25/1.87 % clauses 21
% 1.25/1.87 % conjectures 1
% 1.25/1.87 % EPR 12
% 1.25/1.87 % Horn 15
% 1.25/1.87 % unary 7
% 1.25/1.87 % binary 2
% 1.25/1.87 % lits 65
% 1.25/1.87 % lits eq 8
% 1.25/1.87 % fd_pure 0
% 1.25/1.87 % fd_pseudo 0
% 1.25/1.87 % fd_cond 0
% 1.25/1.87 % fd_pseudo_cond 8
% 1.25/1.87 % AC symbols 0
% 1.25/1.87
% 1.25/1.87 % ------ Schedule dynamic 5 is on
% 1.25/1.87
% 1.25/1.87 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.25/1.87
% 1.25/1.87
% 1.25/1.87 % ------
% 1.25/1.87 % Current options:
% 1.25/1.87 % ------
% 1.25/1.87
% 1.25/1.87
% 1.25/1.87 %
% 1.25/1.87
% 1.25/1.87 % ------ Proving...
% 1.25/1.87 %
% 1.25/1.87
% 1.25/1.87 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.87
% 1.25/1.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.25/1.87
% 1.25/1.87
%------------------------------------------------------------------------------