%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC293-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 03:09:11 PM UTC 2026
% Result : Unsatisfiable 4.35s 1.52s
% Output : CNFRefutation 4.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 28 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 10 |; 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 : 4 ( 2 usr; 1 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(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause3) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause66) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ strictorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
( nil = sk3
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f212,negated_conjecture,
( nil = sk3
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( nil = sk3
| sk3 = cons(sk5,nil) ),
inference(reorient_equations,[],[f212]) ).
fof(f217,plain,
~ strictorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
tcf(c_251,negated_conjecture,
~ strictorderedP(sk3),
inference(cnf_transformation,[],[f217]) ).
tcf(c_253,negated_conjecture,
( ssItem(sk5)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_256,negated_conjecture,
( ( sk3 = nil )
| ( cons(sk5,nil) = sk3 ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_263,plain,
! [X0: $i] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_264,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f3]) ).
tcf(c_3123,plain,
( strictorderedP(sk3)
| ( sk3 = nil )
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_256,c_263]) ).
tcf(c_3124,plain,
( ( sk3 = nil )
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3123,c_251]) ).
tcf(c_3134,plain,
sk3 = nil,
inference(global_subsumption_just,[status(thm)],[c_3124,c_253,c_3124]) ).
tcf(c_3137,plain,
~ strictorderedP(nil),
inference(demodulation,[status(thm)],[c_251,c_3134]) ).
tcf(c_3139,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3137,c_264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC293-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n013.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 17:27:06 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 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
% 0.21/0.52
% 0.21/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.21/0.52
% 0.21/0.52 % Detected problem language: tptp
% 0.21/0.54 % Proving...
% 4.35/1.52 % SZS status Started for theBenchmark.p
% 4.35/1.52 % SZS status Unsatisfiable for theBenchmark.p
% 4.35/1.52
% 4.35/1.52 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.35/1.52
% 4.35/1.52 % ------ iProver source info
% 4.35/1.52
% 4.35/1.52 % git: date: 2026-07-19 20:42:38 +0200
% 4.35/1.52 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.35/1.52 % git: non_committed_changes: false
% 4.35/1.52
% 4.35/1.52 % ------ Parsing...% successful
% 4.35/1.52
% 4.35/1.52
% 4.35/1.52 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.35/1.52
% 4.35/1.52 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.35/1.52
% 4.35/1.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.35/1.52
% 4.35/1.52 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.35/1.52 % ------ Proving...
% 4.35/1.52 % ------ Problem Properties
% 4.35/1.52
% 4.35/1.52 %
% 4.35/1.52 % clauses 58
% 4.35/1.52 % conjectures 9
% 4.35/1.52 % EPR 20
% 4.35/1.52 % Horn 41
% 4.35/1.52 % unary 7
% 4.35/1.52 % binary 13
% 4.35/1.52 % lits 215
% 4.35/1.52 % lits eq 41
% 4.35/1.52 % fd_pure 0
% 4.35/1.52 % fd_pseudo 0
% 4.35/1.52 % fd_cond 10
% 4.35/1.52 % fd_pseudo_cond 7
% 4.35/1.52 % AC symbols 0
% 4.35/1.52
% 4.35/1.52 % ------ Schedule dynamic 5 is on
% 4.35/1.52
% 4.35/1.52 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.35/1.52
% 4.35/1.52
% 4.35/1.52 % ------
% 4.35/1.52 % Current options:
% 4.35/1.52 % ------
% 4.35/1.52
% 4.35/1.52
% 4.35/1.52 %
% 4.35/1.52
% 4.35/1.52 % ------ Proving...
% 4.35/1.52 %
% 4.35/1.52
% 4.35/1.52 % SZS status Unsatisfiable for theBenchmark.p
% 4.35/1.52
% 4.35/1.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.35/1.52
% 4.35/1.52
%------------------------------------------------------------------------------