%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SCT088-1 : 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 : n026.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 02:40:44 PM UTC 2026
% Result : Unsatisfiable 4.41s 1.50s
% Output : CNFRefutation 4.41s
% 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(f807,axiom,
v_c____ != v_d____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f809,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f810,negated_conjecture,
! [X0] :
( ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,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_1326,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_1327,plain,
v_c____ != v_d____,
inference(cnf_transformation,[],[f807]) ).
tcf(c_1328,negated_conjecture,
~ v_thesis____,
inference(cnf_transformation,[],[f809]) ).
tcf(c_1329,negated_conjecture,
! [X0: $i] :
( v_thesis____
| ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,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,[],[f810]) ).
tcf(c_1512,negated_conjecture,
! [X0: $i] : ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,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_1329,c_1328,c_1329]) ).
tcf(c_1568,plain,
v_c____ = v_d____,
inference(superposition,[status(thm)],[c_1326,c_1512]) ).
tcf(c_2304,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1327,c_1568]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT088-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.58 % Computer : n026.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Thu Sep 24 08:46:24 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.62 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
% 0.15/0.63
% 0.15/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.63
% 0.15/0.63 % Detected problem language: tptp
% 0.15/0.65 % Proving...
% 4.41/1.50 % SZS status Started for theBenchmark.p
% 4.41/1.50 % SZS status Unsatisfiable for theBenchmark.p
% 4.41/1.50
% 4.41/1.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.41/1.50
% 4.41/1.50 % ------ iProver source info
% 4.41/1.50
% 4.41/1.50 % git: date: 2026-07-19 20:42:38 +0200
% 4.41/1.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.41/1.50 % git: non_committed_changes: false
% 4.41/1.50
% 4.41/1.50 % ------ Parsing...% successful
% 4.41/1.50
% 4.41/1.50
% 4.41/1.50 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.41/1.50 % ------ Proving...
% 4.41/1.50 % ------ Problem Properties
% 4.41/1.50
% 4.41/1.50 %
% 4.41/1.50 % clauses 669
% 4.41/1.50 % conjectures 2
% 4.41/1.50 % EPR 110
% 4.41/1.50 % Horn 578
% 4.41/1.50 % unary 252
% 4.41/1.50 % binary 213
% 4.41/1.50 % lits 1391
% 4.41/1.50 % lits eq 551
% 4.41/1.50 % fd_pure 0
% 4.41/1.50 % fd_pseudo 0
% 4.41/1.50 % fd_cond 22
% 4.41/1.50 % fd_pseudo_cond 99
% 4.41/1.50 % AC symbols 0
% 4.41/1.50
% 4.41/1.50 % ------ Input Options Time Limit: Unbounded
% 4.41/1.50
% 4.41/1.50
% 4.41/1.50 % ------
% 4.41/1.50 % Current options:
% 4.41/1.50 % ------
% 4.41/1.50
% 4.41/1.50
% 4.41/1.50 %
% 4.41/1.50
% 4.41/1.50 % ------ Proving...
% 4.41/1.50 %
% 4.41/1.50
% 4.41/1.50 % ------ Proving...
% 4.41/1.50 %
% 4.41/1.50
% 4.41/1.50 % SZS status Unsatisfiable for theBenchmark.p
% 4.41/1.50
% 4.41/1.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.41/1.50
% 4.41/1.50
%------------------------------------------------------------------------------