%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC259-1 : 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 : n009.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 3.92s 1.33s
% Output : CNFRefutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 34 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 8 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 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(f219,negated_conjecture,
( nil = sk3
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( nil = sk3
| sk3 = cons(sk5,nil) ),
inference(reorient_equations,[],[f219]) ).
fof(f221,negated_conjecture,
( nil = sk3
| app(app(sk6,sk3),sk7) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f222,plain,
( nil = sk3
| sk4 = app(app(sk6,sk3),sk7) ),
inference(reorient_equations,[],[f221]) ).
fof(f227,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
tcf(c_259,negated_conjecture,
~ totalorderedP(sk3),
inference(cnf_transformation,[],[f227]) ).
tcf(c_261,negated_conjecture,
( ssItem(sk5)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_270,negated_conjecture,
( ( sk3 = nil )
| ( cons(sk5,nil) = sk3 ) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_271,negated_conjecture,
( ( sk3 = nil )
| ( app(app(sk6,sk3),sk7) = sk4 ) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_279,plain,
! [X0: $i] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_280,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f4]) ).
tcf(c_3433,plain,
( totalorderedP(sk3)
| ( sk3 = nil )
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_270,c_279]) ).
tcf(c_3434,plain,
( ( sk3 = nil )
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3433,c_259]) ).
tcf(c_3441,negated_conjecture,
sk3 = nil,
inference(global_subsumption_just,[status(thm)],[c_271,c_261,c_3434]) ).
tcf(c_3444,plain,
~ totalorderedP(nil),
inference(demodulation,[status(thm)],[c_259,c_3441]) ).
tcf(c_3446,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3444,c_280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC259-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.39 % Computer : n009.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Thu Sep 24 17:16:30 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.45 % Detected problem language: tptp
% 0.11/0.46 % Proving...
% 3.92/1.33 % SZS status Started for theBenchmark.p
% 3.92/1.33 % SZS status Unsatisfiable for theBenchmark.p
% 3.92/1.33
% 3.92/1.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.92/1.33
% 3.92/1.33 % ------ iProver source info
% 3.92/1.33
% 3.92/1.33 % git: date: 2026-07-19 20:42:38 +0200
% 3.92/1.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.92/1.33 % git: non_committed_changes: false
% 3.92/1.33
% 3.92/1.33 % ------ Parsing...% successful
% 3.92/1.33
% 3.92/1.33
% 3.92/1.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.92/1.33
% 3.92/1.33 % ------ 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 %
% 3.92/1.33
% 3.92/1.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.92/1.33
% 3.92/1.33 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.92/1.33 % ------ Proving...
% 3.92/1.33 % ------ Problem Properties
% 3.92/1.33
% 3.92/1.33 %
% 3.92/1.33 % clauses 66
% 3.92/1.33 % conjectures 17
% 3.92/1.33 % EPR 26
% 3.92/1.33 % Horn 45
% 3.92/1.33 % unary 7
% 3.92/1.33 % binary 17
% 3.92/1.33 % lits 239
% 3.92/1.33 % lits eq 51
% 3.92/1.33 % fd_pure 0
% 3.92/1.33 % fd_pseudo 0
% 3.92/1.33 % fd_cond 10
% 3.92/1.33 % fd_pseudo_cond 7
% 3.92/1.33 % AC symbols 0
% 3.92/1.33
% 3.92/1.33 % ------ Schedule dynamic 5 is on
% 3.92/1.33
% 3.92/1.33 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.92/1.33
% 3.92/1.33
% 3.92/1.33 % ------
% 3.92/1.33 % Current options:
% 3.92/1.33 % ------
% 3.92/1.33
% 3.92/1.33
% 3.92/1.33 %
% 3.92/1.33
% 3.92/1.33 % ------ Proving...
% 3.92/1.33 %
% 3.92/1.33
% 3.92/1.33 % SZS status Unsatisfiable for theBenchmark.p
% 3.92/1.33
% 3.92/1.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.92/1.33
% 3.92/1.33
%------------------------------------------------------------------------------