%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT053+1 : TPTP v9.3.1. Released v2.4.0.
% 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 02:12:56 PM UTC 2026
% Result : Theorem 1.62s 1.18s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 38 ( 1 unt; 0 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 163 ( 66 ~; 78 |; 12 &)
% ( 5 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 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 : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 58 ( 0 sgn 52 !; 6 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) )
& organization(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(f8,conjecture,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> dissimilar(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_7) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> dissimilar(X0,X2,X1) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f15,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f16,plain,
? [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<~> dissimilar(X0,X2,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( ~ dissimilar(X0,X1,X2)
| ( ( is_aligned(X0,X1)
| is_aligned(X0,X2) )
& ( ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& organization(X0) ) )
& ( ( ( ~ is_aligned(X0,X1)
| is_aligned(X0,X2) )
& ( ~ is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ organization(X0)
| dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( ~ dissimilar(X0,X1,X2)
| ( ( is_aligned(X0,X1)
| is_aligned(X0,X2) )
& ( ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& organization(X0) ) )
& ( ( ( ~ is_aligned(X0,X1)
| is_aligned(X0,X2) )
& ( ~ is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ organization(X0)
| dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| dissimilar(X0,X2,X1) )
& ( ~ dissimilar(X0,X1,X2)
| ~ dissimilar(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f20,plain,
( ( dissimilar(sK0,sK1,sK2)
| dissimilar(sK0,sK2,sK1) )
& ( ~ dissimilar(sK0,sK1,sK2)
| ~ dissimilar(sK0,sK2,sK1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f30,plain,
( dissimilar(sK0,sK1,sK2)
| dissimilar(sK0,sK2,sK1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f31,plain,
( ~ dissimilar(sK0,sK1,sK2)
| ~ dissimilar(sK0,sK2,sK1) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| dissimilar(X0,X2,X1)
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| dissimilar(X0,X1,X2)
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_56,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_57,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_58,negated_conjecture,
( ~ dissimilar(sK0,sK1,sK2)
| ~ dissimilar(sK0,sK2,sK1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_59,negated_conjecture,
( dissimilar(sK0,sK1,sK2)
| dissimilar(sK0,sK2,sK1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_281,plain,
( organization(sK0)
| ~ dissimilar(sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_282,plain,
( ~ is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK2)
| ~ dissimilar(sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_283,plain,
( is_aligned(sK0,sK1)
| is_aligned(sK0,sK2)
| ~ dissimilar(sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_286,plain,
( is_aligned(sK0,sK1)
| is_aligned(sK0,sK2)
| ~ dissimilar(sK0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_287,plain,
( ~ is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK2)
| ~ dissimilar(sK0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_288,plain,
( organization(sK0)
| ~ dissimilar(sK0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_295,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| dissimilar(sK0,X0,sK2)
| ~ organization(sK0)
| ~ is_aligned(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_297,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| dissimilar(sK0,sK2,X0)
| ~ organization(sK0)
| ~ is_aligned(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_312,plain,
( is_aligned(sK0,sK1)
| dissimilar(sK0,sK1,sK2)
| ~ organization(sK0)
| ~ is_aligned(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_295]) ).
tcf(c_315,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| dissimilar(sK0,sK1,X0)
| ~ organization(sK0)
| ~ is_aligned(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_316,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| dissimilar(sK0,X0,sK1)
| ~ organization(sK0)
| ~ is_aligned(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_341,plain,
( is_aligned(sK0,sK2)
| dissimilar(sK0,sK1,sK2)
| ~ organization(sK0)
| ~ is_aligned(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_315]) ).
tcf(c_345,plain,
( is_aligned(sK0,sK2)
| dissimilar(sK0,sK2,sK1)
| ~ organization(sK0)
| ~ is_aligned(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_316]) ).
tcf(c_416,plain,
( is_aligned(sK0,sK1)
| dissimilar(sK0,sK2,sK1)
| ~ organization(sK0)
| ~ is_aligned(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_297]) ).
tcf(c_441,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_416,c_345,c_341,c_312,c_286,c_287,c_288,c_283,c_282,c_281,c_58,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT053+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 01:14:03 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.62/1.18 % SZS status Started for theBenchmark.p
% 1.62/1.18 % SZS status Theorem for theBenchmark.p
% 1.62/1.18
% 1.62/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.62/1.18
% 1.62/1.18 % ------ iProver source info
% 1.62/1.18
% 1.62/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 1.62/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.62/1.18 % git: non_committed_changes: false
% 1.62/1.18
% 1.62/1.18 % ------ Parsing...
% 1.62/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_eq
% 1.62/1.18 %
% 1.62/1.18
% 1.62/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.62/1.18
% 1.62/1.18 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_eq
% 1.62/1.18 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e % ------ preprocesses with Option_epr_non_horn_eq
% 1.62/1.18 %
% 1.62/1.18
% 1.62/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.62/1.18 % ------ Proving...
% 1.62/1.18 % ------ Problem Properties
% 1.62/1.18
% 1.62/1.18 %
% 1.62/1.18 % clauses 10
% 1.62/1.18 % conjectures 2
% 1.62/1.18 % EPR 10
% 1.62/1.18 % Horn 5
% 1.62/1.18 % unary 0
% 1.62/1.18 % binary 4
% 1.62/1.18 % lits 28
% 1.62/1.18 % lits eq 1
% 1.62/1.18 % fd_pure 0
% 1.62/1.18 % fd_pseudo 0
% 1.62/1.18 % fd_cond 0
% 1.62/1.18 % fd_pseudo_cond 1
% 1.62/1.18 % AC symbols 0
% 1.62/1.18
% 1.62/1.18 % ------ Schedule EPR non Horn eq is on
% 1.62/1.18
% 1.62/1.18 % ------ Option_epr_non_horn_eq Time Limit: Unbounded
% 1.62/1.18
% 1.62/1.18
% 1.62/1.18 % ------
% 1.62/1.18 % Current options:
% 1.62/1.18 % ------
% 1.62/1.18
% 1.62/1.18
% 1.62/1.18 %
% 1.62/1.18
% 1.62/1.18 % ------ Proving...
% 1.62/1.18 %
% 1.62/1.18
% 1.62/1.18 % SZS status Theorem for theBenchmark.p
% 1.62/1.18
% 1.62/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.62/1.18
% 1.62/1.18
%------------------------------------------------------------------------------