%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC258-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.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 03:09:03 PM UTC 2026
% Result : Unsatisfiable 3.71s 1.27s
% Output : CNFRefutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 14 unt; 1 def)
% Number of atoms : 47 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 10 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause4) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause67) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
( nil = sk3
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f213,negated_conjecture,
( nil = sk3
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,plain,
( nil = sk3
| sk3 = cons(sk5,nil) ),
inference(reorient_equations,[],[f213]) ).
fof(f219,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
tcf(c_252,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f4]) ).
tcf(c_315,plain,
! [X0: $i] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_438,negated_conjecture,
~ totalorderedP(sk3),
inference(cnf_transformation,[],[f219]) ).
tcf(c_440,negated_conjecture,
( ssItem(sk5)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_444,negated_conjecture,
( ( sk3 = nil )
| ( cons(sk5,nil) = sk3 ) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_6604,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6605,negated_conjecture,
~ totalorderedP(sk3),
inference(demodulation,[status(thm)],[c_438]) ).
tcf(c_6608,negated_conjecture,
( ( iPr_def_12 = sk3 )
| ( sk3 = nil ) ),
inference(demodulation,[status(thm)],[c_444,c_6604]) ).
tcf(c_6612,negated_conjecture,
( ssItem(sk5)
| ( sk3 = nil ) ),
inference(demodulation,[status(thm)],[c_440]) ).
tcf(c_9206,plain,
( ( sk3 = iPr_def_12 )
| ~ totalorderedP(nil) ),
inference(superposition,[status(thm)],[c_6608,c_6605]) ).
tcf(c_9253,plain,
sk3 = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_9206,c_252,c_9206]) ).
tcf(c_9259,plain,
( ssItem(sk5)
| ( nil = iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_6612,c_9253]) ).
tcf(c_9260,plain,
~ totalorderedP(iPr_def_12),
inference(demodulation,[status(thm)],[c_6605,c_9253]) ).
tcf(c_9440,plain,
( totalorderedP(iPr_def_12)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_6604,c_315]) ).
tcf(c_9441,plain,
~ ssItem(sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_9440,c_9260]) ).
tcf(c_9442,plain,
nil = iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_9259,c_9441]) ).
tcf(c_9463,plain,
totalorderedP(iPr_def_12),
inference(demodulation,[status(thm)],[c_252,c_9442]) ).
tcf(c_9471,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9463,c_9260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC258-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 17:16:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.71/1.27 % SZS status Started for theBenchmark.p
% 3.71/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.71/1.27
% 3.71/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.71/1.27
% 3.71/1.27 % ------ iProver source info
% 3.71/1.27
% 3.71/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.71/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.71/1.27 % git: non_committed_changes: false
% 3.71/1.27
% 3.71/1.27 % ------ Parsing...% successful
% 3.71/1.27
% 3.71/1.27
% 3.71/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.71/1.27
% 3.71/1.27 % ------ 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 %
% 3.71/1.27
% 3.71/1.27 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.71/1.27
% 3.71/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.71/1.27 % ------ Proving...
% 3.71/1.27 % ------ Problem Properties
% 3.71/1.27
% 3.71/1.27 %
% 3.71/1.27 % clauses 189
% 3.71/1.27 % conjectures 11
% 3.71/1.27 % EPR 63
% 3.71/1.27 % Horn 153
% 3.71/1.27 % unary 62
% 3.71/1.27 % binary 27
% 3.71/1.27 % lits 567
% 3.71/1.27 % lits eq 82
% 3.71/1.27 % fd_pure 0
% 3.71/1.27 % fd_pseudo 0
% 3.71/1.27 % fd_cond 17
% 3.71/1.27 % fd_pseudo_cond 14
% 3.71/1.27 % AC symbols 0
% 3.71/1.27
% 3.71/1.27 % ------ Schedule dynamic 5 is on
% 3.71/1.27
% 3.71/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.71/1.27
% 3.71/1.27
% 3.71/1.27 % ------
% 3.71/1.27 % Current options:
% 3.71/1.27 % ------
% 3.71/1.27
% 3.71/1.27
% 3.71/1.27 %
% 3.71/1.27
% 3.71/1.27 % ------ Proving...
% 3.71/1.27 %
% 3.71/1.27
% 3.71/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.71/1.27
% 3.71/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.71/1.27
% 3.71/1.27
%------------------------------------------------------------------------------