%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWX206+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.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 03:32:50 PM UTC 2026
% Result : Theorem 1.62s 1.30s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 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 : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 6 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : x2(z,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
fof(f5,conjecture,
? [X0] : x2(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_005) ).
fof(f6,negated_conjecture,
~ ? [X0] : x2(X0,X0) = X0,
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
! [X0] : x2(X0,X0) != X0,
inference(ennf_transformation,[],[f6]) ).
fof(f10,plain,
! [X0] : x2(z,X0) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f12,plain,
! [X0] : x2(X0,X0) != X0,
inference(cnf_transformation,[],[f7]) ).
tcf(c_51,plain,
! [X0: $i] : x2(z,X0) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_53,negated_conjecture,
! [X0: $i] : x2(X0,X0) != X0,
inference(cnf_transformation,[],[f12]) ).
tcf(c_54,plain,
x2(z,z) = z,
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_57,plain,
x2(z,z) != z,
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_58,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_57,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX206+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 23:42:43 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 1.62/1.30 % SZS status Started for theBenchmark.p
% 1.62/1.30 % SZS status Theorem for theBenchmark.p
% 1.62/1.30
% 1.62/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.62/1.30
% 1.62/1.30 % ------ iProver source info
% 1.62/1.30
% 1.62/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.62/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.62/1.30 % git: non_committed_changes: false
% 1.62/1.30
% 1.62/1.30 % ------ Parsing...
% 1.62/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_UEQ
% 1.62/1.30 %
% 1.62/1.30
% 1.62/1.30 % ------ Preprocessing...%
% 1.62/1.30
% 1.62/1.30 % SZS status Theorem for theBenchmark.p
% 1.62/1.30
% 1.62/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.62/1.30
% 1.62/1.30
%------------------------------------------------------------------------------