%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SCT002-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.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 02:40:35 PM UTC 2026
% Result : Unsatisfiable 7.15s 1.78s
% Output : CNFRefutation 7.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f724,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_Relation_Otrans(X3,X2)
| ~ hBOOL(c_in(c_Pair(X0,X4,X2,X2),X3,tc_prod(X2,X2)))
| ~ hBOOL(c_in(c_Pair(X4,X1,X2,X2),X3,tc_prod(X2,X2)))
| hBOOL(c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_transD_0) ).
fof(f728,negated_conjecture,
c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f729,negated_conjecture,
! [X0] : ~ hBOOL(c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f730,negated_conjecture,
hBOOL(c_in(c_Pair(v_y,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f731,negated_conjecture,
hBOOL(c_in(c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
tcf(c_1357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( hBOOL(c_in(c_Pair(X0,X4,X2,X2),X3,tc_prod(X2,X2)))
| ~ c_Relation_Otrans(X3,X2)
| ~ hBOOL(c_in(c_Pair(X1,X4,X2,X2),X3,tc_prod(X2,X2)))
| ~ hBOOL(c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))) ),
inference(cnf_transformation,[],[f724]) ).
tcf(c_1361,negated_conjecture,
c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt),
inference(cnf_transformation,[],[f728]) ).
tcf(c_1362,negated_conjecture,
! [X0: $i] : ~ hBOOL(c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(cnf_transformation,[],[f729]) ).
tcf(c_1363,negated_conjecture,
hBOOL(c_in(c_Pair(v_y,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(cnf_transformation,[],[f730]) ).
tcf(c_1364,negated_conjecture,
hBOOL(c_in(c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(cnf_transformation,[],[f731]) ).
tcf(c_1545,plain,
! [X0: $i] :
( hBOOL(c_in(c_Pair(v_x,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)
| ~ hBOOL(c_in(c_Pair(v_y,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(superposition,[status(thm)],[c_1364,c_1357]) ).
tcf(c_1618,plain,
! [X0: $i] :
( hBOOL(c_in(c_Pair(v_x,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ hBOOL(c_in(c_Pair(v_y,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
inference(global_subsumption_just,[status(thm)],[c_1545,c_1361,c_1545]) ).
tcf(c_1625,plain,
hBOOL(c_in(c_Pair(v_x,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(superposition,[status(thm)],[c_1363,c_1618]) ).
tcf(c_2040,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1625,c_1362]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT002-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n015.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Thu Sep 24 08:34:10 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.49 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
% 0.26/0.51
% 0.26/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.51
% 0.26/0.51 % Detected problem language: tptp
% 0.26/0.53 % Proving...
% 7.15/1.78 % SZS status Started for theBenchmark.p
% 7.15/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 7.15/1.78
% 7.15/1.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.15/1.78
% 7.15/1.78 % ------ iProver source info
% 7.15/1.78
% 7.15/1.78 % git: date: 2026-07-19 20:42:38 +0200
% 7.15/1.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.15/1.78 % git: non_committed_changes: false
% 7.15/1.78
% 7.15/1.78 % ------ Parsing...% successful
% 7.15/1.78
% 7.15/1.78
% 7.15/1.78 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.15/1.78 % ------ Proving...
% 7.15/1.78 % ------ Problem Properties
% 7.15/1.78
% 7.15/1.78 %
% 7.15/1.78 % clauses 662
% 7.15/1.78 % conjectures 6
% 7.15/1.78 % EPR 29
% 7.15/1.78 % Horn 592
% 7.15/1.78 % unary 198
% 7.15/1.78 % binary 260
% 7.15/1.78 % lits 1387
% 7.15/1.78 % lits eq 296
% 7.15/1.78 % fd_pure 0
% 7.15/1.78 % fd_pseudo 0
% 7.15/1.78 % fd_cond 0
% 7.15/1.78 % fd_pseudo_cond 49
% 7.15/1.78 % AC symbols 0
% 7.15/1.78
% 7.15/1.78 % ------ Input Options Time Limit: Unbounded
% 7.15/1.78
% 7.15/1.78
% 7.15/1.78 % ------
% 7.15/1.78 % Current options:
% 7.15/1.78 % ------
% 7.15/1.78
% 7.15/1.78
% 7.15/1.78 %
% 7.15/1.78
% 7.15/1.78 % ------ Proving...
% 7.15/1.78 %
% 7.15/1.78
% 7.15/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 7.15/1.78
% 7.15/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.15/1.78
% 7.15/1.78
%------------------------------------------------------------------------------