%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO054-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 01:19:42 PM UTC 2026
% Result : Unsatisfiable 1.20s 1.26s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
fof(f19,axiom,
! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
fof(f33,negated_conjecture,
~ between(u,v,reflection(u,v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_u_and_reflection) ).
fof(f34,plain,
~ between(u,v,extension(u,v,u,v)),
inference(definition_unfolding,[],[f33,f19]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : between(X0,X1,extension(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_109,negated_conjecture,
~ between(u,v,extension(u,v,u,v)),
inference(cnf_transformation,[],[f34]) ).
tcf(c_132,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_109,c_83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO054-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 10:37:04 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.39 Running first-order theorem proving
% 0.08/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.40
% 0.08/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.40
% 0.08/0.40 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 1.20/1.26 % SZS status Started for theBenchmark.p
% 1.20/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.20/1.26
% 1.20/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.20/1.26
% 1.20/1.26 % ------ iProver source info
% 1.20/1.26
% 1.20/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.20/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.20/1.26 % git: non_committed_changes: false
% 1.20/1.26
% 1.20/1.26 % ------ Parsing...% successful
% 1.20/1.26
% 1.20/1.26
% 1.20/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.20/1.26
% 1.20/1.26 % ------ Preprocessing...%
% 1.20/1.26
% 1.20/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.20/1.26
% 1.20/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.20/1.26
% 1.20/1.26
%------------------------------------------------------------------------------