%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC276-1 : 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 : n004.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 03:09:07 PM UTC 2026
% Result : Unsatisfiable 2.31s 11.95s
% Output : CNFRefutation 2.31s
% 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(f212,negated_conjecture,
( nil = sk3
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( nil = sk3
| sk3 = cons(sk5,nil) ),
inference(reorient_equations,[],[f212]) ).
fof(f217,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
tcf(c_250,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f4]) ).
tcf(c_313,plain,
! [X0: $i] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_436,negated_conjecture,
~ totalorderedP(sk3),
inference(cnf_transformation,[],[f217]) ).
tcf(c_438,negated_conjecture,
( ssItem(sk5)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_441,negated_conjecture,
( ( sk3 = nil )
| ( cons(sk5,nil) = sk3 ) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_6518,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6519,negated_conjecture,
~ totalorderedP(sk3),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_6521,negated_conjecture,
( ( iPr_def_12 = sk3 )
| ( sk3 = nil ) ),
inference(demodulation,[status(thm)],[c_441,c_6518]) ).
tcf(c_6524,negated_conjecture,
( ssItem(sk5)
| ( sk3 = nil ) ),
inference(demodulation,[status(thm)],[c_438]) ).
tcf(c_9078,plain,
( ( sk3 = iPr_def_12 )
| ~ totalorderedP(nil) ),
inference(superposition,[status(thm)],[c_6521,c_6519]) ).
tcf(c_9095,plain,
sk3 = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_9078,c_250,c_9078]) ).
tcf(c_9100,plain,
( ssItem(sk5)
| ( nil = iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_6524,c_9095]) ).
tcf(c_9101,plain,
~ totalorderedP(iPr_def_12),
inference(demodulation,[status(thm)],[c_6519,c_9095]) ).
tcf(c_9285,plain,
( totalorderedP(iPr_def_12)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_6518,c_313]) ).
tcf(c_9286,plain,
~ ssItem(sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_9285,c_9101]) ).
tcf(c_9287,plain,
nil = iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_9100,c_9286]) ).
tcf(c_9308,plain,
totalorderedP(iPr_def_12),
inference(demodulation,[status(thm)],[c_250,c_9287]) ).
tcf(c_9316,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9308,c_9101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC276-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/11.03 % Computer : n004.cluster.edu
% 0.14/11.03 % Model : x86_64 x86_64
% 0.14/11.03 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/11.03 % Memory : 8046.5625MB
% 0.14/11.03 % OS : Linux 6.8.0-71-generic
% 0.14/11.03 % CPULimit : 300
% 0.14/11.03 % WCLimit : 300
% 0.14/11.03 % DateTime : Thu Sep 24 17:22:26 UTC 2026
% 0.14/11.03 % CPUTime :
% 0.14/11.03 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/11.07 Running first-order theorem proving
% 0.14/11.07 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
% 0.14/11.08
% 0.14/11.08 % ======== iProver multi-core TPTP/SMT =========
% 0.14/11.08
% 0.14/11.08 % Detected problem language: tptp
% 0.14/11.10 % Proving...
% 2.31/11.95 % SZS status Started for theBenchmark.p
% 2.31/11.95 % SZS status Unsatisfiable for theBenchmark.p
% 2.31/11.95
% 2.31/11.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.31/11.95
% 2.31/11.95 % ------ iProver source info
% 2.31/11.95
% 2.31/11.95 % git: date: 2026-07-19 20:42:38 +0200
% 2.31/11.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.31/11.95 % git: non_committed_changes: false
% 2.31/11.95
% 2.31/11.95 % ------ Parsing...% successful
% 2.31/11.95
% 2.31/11.95
% 2.31/11.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.31/11.95
% 2.31/11.95 % ------ 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 %
% 2.31/11.95
% 2.31/11.95 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.31/11.95
% 2.31/11.95 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.31/11.95 % ------ Proving...
% 2.31/11.95 % ------ Problem Properties
% 2.31/11.95
% 2.31/11.95 %
% 2.31/11.95 % clauses 187
% 2.31/11.95 % conjectures 9
% 2.31/11.95 % EPR 61
% 2.31/11.95 % Horn 153
% 2.31/11.95 % unary 62
% 2.31/11.95 % binary 27
% 2.31/11.95 % lits 557
% 2.31/11.95 % lits eq 78
% 2.31/11.95 % fd_pure 0
% 2.31/11.95 % fd_pseudo 0
% 2.31/11.95 % fd_cond 15
% 2.31/11.95 % fd_pseudo_cond 14
% 2.31/11.95 % AC symbols 0
% 2.31/11.95
% 2.31/11.95 % ------ Schedule dynamic 5 is on
% 2.31/11.95
% 2.31/11.95 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.31/11.95
% 2.31/11.95
% 2.31/11.95 % ------
% 2.31/11.95 % Current options:
% 2.31/11.95 % ------
% 2.31/11.95
% 2.31/11.95
% 2.31/11.95 %
% 2.31/11.95
% 2.31/11.95 % ------ Proving...
% 2.31/11.95 %
% 2.31/11.95
% 2.31/11.95 % SZS status Unsatisfiable for theBenchmark.p
% 2.31/11.95
% 2.31/11.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.31/11.95
% 2.31/11.95
%------------------------------------------------------------------------------