%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SCT007-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 02:40:36 PM UTC 2026
% Result : Unsatisfiable 4.42s 6.62s
% Output : CNFRefutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f667,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_Order__Relation_Olinear__order__on(X0,X2,X1))
| hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(X0,X1),c_HOL_Ominus__class_Ominus(X2,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_strict__linear__order__on__diff__Id_0) ).
fof(f668,negated_conjecture,
hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),v_r,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f670,negated_conjecture,
! [X0] : ~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_1192,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(X0,X2),c_HOL_Ominus__class_Ominus(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool))))
| ~ hBOOL(c_Order__Relation_Olinear__order__on(X0,X1,X2)) ),
inference(cnf_transformation,[],[f667]) ).
tcf(c_1193,negated_conjecture,
hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),v_r,tc_Arrow__Order__Mirabelle_Oalt)),
inference(cnf_transformation,[],[f668]) ).
tcf(c_1195,negated_conjecture,
! [X0: $i] : ~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),X0)),
inference(cnf_transformation,[],[f670]) ).
tcf(c_1616,plain,
! [X0: $i] : ~ hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),X0,tc_Arrow__Order__Mirabelle_Oalt)),
inference(superposition,[status(thm)],[c_1192,c_1195]) ).
tcf(c_1617,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1193,c_1616]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT007-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.68 % Computer : n007.cluster.edu
% 0.09/5.68 % Model : x86_64 x86_64
% 0.09/5.68 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.68 % Memory : 8046.5625MB
% 0.09/5.68 % OS : Linux 6.8.0-71-generic
% 0.09/5.68 % CPULimit : 300
% 0.09/5.68 % WCLimit : 300
% 0.09/5.68 % DateTime : Thu Sep 24 08:29:43 UTC 2026
% 0.09/5.68 % CPUTime :
% 0.09/5.68 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.72 Running first-order theorem proving
% 0.14/5.72 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
% 0.14/5.73
% 0.14/5.73 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.73
% 0.14/5.73 % Detected problem language: tptp
% 0.14/5.74 % Proving...
% 4.42/6.62 % SZS status Started for theBenchmark.p
% 4.42/6.62 % SZS status Unsatisfiable for theBenchmark.p
% 4.42/6.62
% 4.42/6.62 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.42/6.62
% 4.42/6.62 % ------ iProver source info
% 4.42/6.62
% 4.42/6.62 % git: date: 2026-07-19 20:42:38 +0200
% 4.42/6.62 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.42/6.62 % git: non_committed_changes: false
% 4.42/6.62
% 4.42/6.62 % ------ Parsing...% successful
% 4.42/6.62
% 4.42/6.62
% 4.42/6.62 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.42/6.62 % ------ Proving...
% 4.42/6.62 % ------ Problem Properties
% 4.42/6.62
% 4.42/6.62 %
% 4.42/6.62 % clauses 575
% 4.42/6.62 % conjectures 3
% 4.42/6.62 % EPR 25
% 4.42/6.62 % Horn 567
% 4.42/6.62 % unary 206
% 4.42/6.62 % binary 229
% 4.42/6.62 % lits 1111
% 4.42/6.62 % lits eq 293
% 4.42/6.62 % fd_pure 0
% 4.42/6.62 % fd_pseudo 0
% 4.42/6.62 % fd_cond 0
% 4.42/6.62 % fd_pseudo_cond 30
% 4.42/6.62 % AC symbols 0
% 4.42/6.62
% 4.42/6.62 % ------ Input Options Time Limit: Unbounded
% 4.42/6.62
% 4.42/6.62
% 4.42/6.62 % ------
% 4.42/6.62 % Current options:
% 4.42/6.62 % ------
% 4.42/6.62
% 4.42/6.62
% 4.42/6.62 %
% 4.42/6.62
% 4.42/6.62 % ------ Proving...
% 4.42/6.62 %
% 4.42/6.62
% 4.42/6.62 % SZS status Unsatisfiable for theBenchmark.p
% 4.42/6.62
% 4.42/6.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.42/6.62
% 4.42/6.62
%------------------------------------------------------------------------------