%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO056-3 : 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 : n006.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 01:19:43 PM UTC 2026
% Result : Unsatisfiable 1.20s 16.31s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).
fof(f29,axiom,
! [X2,X0,X1] : X0 = extension(X1,X0,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e1) ).
fof(f30,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(reorient_equations,[],[f29]) ).
fof(f35,axiom,
u = v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_equals_v) ).
fof(f36,negated_conjecture,
v != reflection(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_reflection) ).
fof(f39,plain,
v != extension(v,v,v,v),
inference(definition_unfolding,[],[f36,f19,f35]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] : extension(X0,X1,X2,X2) = X1,
inference(cnf_transformation,[],[f30]) ).
tcf(c_114,negated_conjecture,
extension(v,v,v,v) != v,
inference(cnf_transformation,[],[f39]) ).
tcf(c_117,plain,
extension(v,v,v,v) = v,
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_118,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_114,c_117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO056-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/15.40 % Computer : n006.cluster.edu
% 0.11/15.40 % Model : x86_64 x86_64
% 0.11/15.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.40 % Memory : 8046.5625MB
% 0.11/15.40 % OS : Linux 6.8.0-71-generic
% 0.11/15.40 % CPULimit : 300
% 0.11/15.40 % WCLimit : 300
% 0.11/15.40 % DateTime : Wed Sep 23 10:37:31 UTC 2026
% 0.11/15.40 % CPUTime :
% 0.11/15.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/15.44 Running first-order theorem proving
% 0.11/15.44 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
% 0.11/15.45
% 0.11/15.45 % ======== iProver multi-core TPTP/SMT =========
% 0.11/15.45
% 0.11/15.45 % Detected problem language: tptp
% 0.11/15.47 % Proving...
% 1.20/16.31 % SZS status Started for theBenchmark.p
% 1.20/16.31 % SZS status Unsatisfiable for theBenchmark.p
% 1.20/16.31
% 1.20/16.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.20/16.31
% 1.20/16.31 % ------ iProver source info
% 1.20/16.31
% 1.20/16.31 % git: date: 2026-07-19 20:42:38 +0200
% 1.20/16.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.20/16.31 % git: non_committed_changes: false
% 1.20/16.31
% 1.20/16.31 % ------ Parsing...% successful
% 1.20/16.31
% 1.20/16.31
% 1.20/16.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.20/16.31
% 1.20/16.31 % ------ Preprocessing...%
% 1.20/16.31
% 1.20/16.31 % SZS status Unsatisfiable for theBenchmark.p
% 1.20/16.31
% 1.20/16.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.20/16.31
% 1.20/16.31
%------------------------------------------------------------------------------