%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN014-2 : 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 : n011.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 03:38:53 PM UTC 2026
% Result : Unsatisfiable 1.73s 1.27s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetryish) ).
fof(f3,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivityish) ).
fof(f22,negated_conjecture,
~ equalish(m,n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_19) ).
fof(f23,negated_conjecture,
equalish(n,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_20) ).
fof(f26,negated_conjecture,
equalish(m,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_23) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_96,negated_conjecture,
~ equalish(m,n),
inference(cnf_transformation,[],[f22]) ).
tcf(c_97,negated_conjecture,
equalish(n,k),
inference(cnf_transformation,[],[f23]) ).
tcf(c_100,negated_conjecture,
equalish(m,k),
inference(cnf_transformation,[],[f26]) ).
tcf(c_276,plain,
! [X0: $i] :
( equalish(m,n)
| ~ equalish(m,X0)
| ~ equalish(X0,n) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_322,plain,
! [X0: $i] :
( equalish(X0,n)
| ~ equalish(n,X0) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_400,plain,
( equalish(k,n)
| ~ equalish(n,k) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_579,plain,
( equalish(m,n)
| ~ equalish(m,k)
| ~ equalish(k,n) ),
inference(instantiation,[status(thm)],[c_276]) ).
tcf(c_580,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_579,c_400,c_96,c_97,c_100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN014-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 23:51:13 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 1.73/1.27 % SZS status Started for theBenchmark.p
% 1.73/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.73/1.27
% 1.73/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.73/1.27
% 1.73/1.27 % ------ iProver source info
% 1.73/1.27
% 1.73/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.73/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.73/1.27 % git: non_committed_changes: false
% 1.73/1.27
% 1.73/1.27 % ------ Parsing...% successful
% 1.73/1.27
% 1.73/1.27
% 1.73/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.73/1.27
% 1.73/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.73/1.27
% 1.73/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.73/1.27 % ------ Proving...
% 1.73/1.27 % ------ Problem Properties
% 1.73/1.27
% 1.73/1.27 %
% 1.73/1.27 % clauses 26
% 1.73/1.27 % conjectures 20
% 1.73/1.27 % EPR 18
% 1.73/1.27 % Horn 13
% 1.73/1.27 % unary 7
% 1.73/1.27 % binary 1
% 1.73/1.27 % lits 69
% 1.73/1.27 % lits eq 0
% 1.73/1.27 % fd_pure 0
% 1.73/1.27 % fd_pseudo 0
% 1.73/1.27 % fd_cond 0
% 1.73/1.27 % fd_pseudo_cond 0
% 1.73/1.27 % AC symbols 0
% 1.73/1.27
% 1.73/1.27 % ------ Schedule dynamic 5 is on
% 1.73/1.27
% 1.73/1.27 % ------ no equalities: superposition off
% 1.73/1.27
% 1.73/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.73/1.27
% 1.73/1.27
% 1.73/1.27 % ------
% 1.73/1.27 % Current options:
% 1.73/1.27 % ------
% 1.73/1.27
% 1.73/1.27
% 1.73/1.27 %
% 1.73/1.27
% 1.73/1.27 % ------ Proving...
% 1.73/1.27 %
% 1.73/1.27
% 1.73/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.73/1.27
% 1.73/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.73/1.27
% 1.73/1.27
%------------------------------------------------------------------------------