%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SCT042-1 : 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 : n018.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 02:40:39 PM UTC 2026
% Result : Unsatisfiable 4.58s 1.30s
% Output : CNFRefutation 4.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f805,axiom,
! [X0,X1] :
( X0 = X1
| c_List_Odistinct(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,c_List_Olist_OCons(v_sko__CHAINED__1(X0,X1),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f806,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f807,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f808,negated_conjecture,
! [X0] :
( ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
tcf(c_1318,plain,
! [X0: $i,X1: $i] :
( c_List_Odistinct(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,c_List_Olist_OCons(v_sko__CHAINED__1(X0,X1),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f805]) ).
tcf(c_1319,plain,
v_a____ != v_b____,
inference(cnf_transformation,[],[f806]) ).
tcf(c_1320,negated_conjecture,
~ v_thesis____,
inference(cnf_transformation,[],[f807]) ).
tcf(c_1321,negated_conjecture,
! [X0: $i] :
( v_thesis____
| ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(cnf_transformation,[],[f808]) ).
tcf(c_1498,negated_conjecture,
! [X0: $i] : ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(global_subsumption_just,[status(thm)],[c_1321,c_1320,c_1321]) ).
tcf(c_1554,plain,
v_a____ = v_b____,
inference(superposition,[status(thm)],[c_1318,c_1498]) ).
tcf(c_2290,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1319,c_1554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT042-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 08:39:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 4.58/1.30 % SZS status Started for theBenchmark.p
% 4.58/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.58/1.30
% 4.58/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.58/1.30
% 4.58/1.30 % ------ iProver source info
% 4.58/1.30
% 4.58/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.58/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.58/1.30 % git: non_committed_changes: false
% 4.58/1.30
% 4.58/1.30 % ------ Parsing...% successful
% 4.58/1.30
% 4.58/1.30
% 4.58/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.58/1.30 % ------ Proving...
% 4.58/1.30 % ------ Problem Properties
% 4.58/1.30
% 4.58/1.30 %
% 4.58/1.30 % clauses 663
% 4.58/1.30 % conjectures 2
% 4.58/1.30 % EPR 107
% 4.58/1.30 % Horn 572
% 4.58/1.30 % unary 249
% 4.58/1.30 % binary 210
% 4.58/1.30 % lits 1382
% 4.58/1.30 % lits eq 551
% 4.58/1.30 % fd_pure 0
% 4.58/1.30 % fd_pseudo 0
% 4.58/1.30 % fd_cond 22
% 4.58/1.30 % fd_pseudo_cond 99
% 4.58/1.30 % AC symbols 0
% 4.58/1.30
% 4.58/1.30 % ------ Input Options Time Limit: Unbounded
% 4.58/1.30
% 4.58/1.30
% 4.58/1.30 % ------
% 4.58/1.30 % Current options:
% 4.58/1.30 % ------
% 4.58/1.30
% 4.58/1.30
% 4.58/1.30 %
% 4.58/1.30
% 4.58/1.30 % ------ Proving...
% 4.58/1.30 %
% 4.58/1.30
% 4.58/1.30 % ------ Proving...
% 4.58/1.30 %
% 4.58/1.30
% 4.58/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.58/1.30
% 4.58/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.58/1.30
% 4.58/1.30
%------------------------------------------------------------------------------