%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT052+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.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 02:12:56 PM UTC 2026
% Result : Theorem 1.15s 1.27s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 50 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 57 ( 27 ~; 20 |; 3 &)
% ( 4 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 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 : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 39 ( 0 sgn 37 !; 2 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) )
& organization(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
fof(f8,conjecture,
! [X0,X1] : ~ dissimilar(X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',background_assumption_1) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] : ~ dissimilar(X0,X1,X1),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
=> ( ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f12,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
=> ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) ) ),
inference(pure_predicate_removal,[],[f10]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ dissimilar(X0,X1,X2)
| ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f18,plain,
? [X0,X1] : dissimilar(X0,X1,X1),
inference(ennf_transformation,[],[f9]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ dissimilar(X0,X1,X2)
| ( ( is_aligned(X0,X1)
| is_aligned(X0,X2) )
& ( ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f20,plain,
dissimilar(sK0,sK1,sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f18]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f27,plain,
dissimilar(sK0,sK1,sK1),
inference(cnf_transformation,[],[f20]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_55,negated_conjecture,
dissimilar(sK0,sK1,sK1),
inference(cnf_transformation,[],[f27]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| is_aligned(X0,X1)
| ( X2 != sK1 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_55]) ).
tcf(c_111,plain,
is_aligned(sK0,sK1),
inference(unflattening,[status(thm)],[c_110]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ( X2 != sK1 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_55]) ).
tcf(c_116,plain,
~ is_aligned(sK0,sK1),
inference(unflattening,[status(thm)],[c_115]) ).
tcf(c_117,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_116,c_111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT052+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n019.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 01:13:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 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...
% 1.15/1.27 % SZS status Started for theBenchmark.p
% 1.15/1.27 % SZS status Theorem for theBenchmark.p
% 1.15/1.27
% 1.15/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.15/1.27
% 1.15/1.27 % ------ iProver source info
% 1.15/1.27
% 1.15/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.15/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.15/1.27 % git: non_committed_changes: false
% 1.15/1.27
% 1.15/1.27 % ------ Parsing...
% 1.15/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_eq
% 1.15/1.27 %
% 1.15/1.27
% 1.15/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s%
% 1.15/1.27
% 1.15/1.27 % SZS status Theorem for theBenchmark.p
% 1.15/1.27
% 1.15/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.15/1.27
% 1.15/1.27
%------------------------------------------------------------------------------