%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC292-1 : 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 : 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 03:09:11 PM UTC 2026
% Result : Unsatisfiable 1.42s 1.28s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 16 unt; 1 def)
% Number of atoms : 89 ( 36 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 79 ( 36 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause3) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause66) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f101]) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
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(f207,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
( ~ neq(sk4,nil)
| sk3 = cons(sk5,nil) ),
inference(reorient_equations,[],[f209]) ).
fof(f214,plain,
~ strictorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
tcf(c_247,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f3]) ).
tcf(c_252,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_310,plain,
! [X0: $i] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_433,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_434,negated_conjecture,
~ strictorderedP(sk3),
inference(cnf_transformation,[],[f214]) ).
tcf(c_435,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_436,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_437,negated_conjecture,
( ( cons(sk5,nil) = sk3 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_3004,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( cons(sk5,nil) = sk3 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_437,c_344]) ).
tcf(c_3005,plain,
( ( sk4 = nil )
| ( cons(sk5,nil) = sk3 )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_3004]) ).
tcf(c_3006,plain,
( ( sk4 = nil )
| ( cons(sk5,nil) = sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_3005,c_433,c_252,c_3005]) ).
tcf(c_3028,plain,
! [X0: $i,X1: $i] :
( ssItem(sk5)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_436,c_344]) ).
tcf(c_3029,plain,
( ssItem(sk5)
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_3028]) ).
tcf(c_3030,plain,
( ssItem(sk5)
| ( sk4 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_3029,c_433,c_252,c_3029]) ).
tcf(c_6561,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6562,plain,
( ssItem(sk5)
| ( sk4 = nil ) ),
inference(demodulation,[status(thm)],[c_3030]) ).
tcf(c_6563,plain,
( ( iPr_def_12 = sk3 )
| ( sk4 = nil ) ),
inference(demodulation,[status(thm)],[c_3006,c_6561]) ).
tcf(c_6565,negated_conjecture,
~ strictorderedP(sk3),
inference(demodulation,[status(thm)],[c_434]) ).
tcf(c_6566,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(demodulation,[status(thm)],[c_435]) ).
tcf(c_9099,plain,
( ( sk4 = nil )
| ~ strictorderedP(iPr_def_12) ),
inference(superposition,[status(thm)],[c_6563,c_6565]) ).
tcf(c_9276,plain,
( strictorderedP(iPr_def_12)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_6561,c_310]) ).
tcf(c_9283,plain,
( strictorderedP(iPr_def_12)
| ( sk4 = nil ) ),
inference(superposition,[status(thm)],[c_6562,c_9276]) ).
tcf(c_9289,plain,
sk4 = nil,
inference(global_subsumption_just,[status(thm)],[c_9283,c_9099,c_9283]) ).
tcf(c_9294,plain,
( ( sk3 = nil )
| ( nil != nil ) ),
inference(demodulation,[status(thm)],[c_6566,c_9289]) ).
tcf(c_9296,plain,
sk3 = nil,
inference(equality_resolution_simp,[status(thm)],[c_9294]) ).
tcf(c_9298,plain,
~ strictorderedP(nil),
inference(demodulation,[status(thm)],[c_6565,c_9296]) ).
tcf(c_9300,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9298,c_247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC292-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 17:30:10 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.42/1.28 % SZS status Started for theBenchmark.p
% 1.42/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.42/1.28
% 1.42/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.42/1.28
% 1.42/1.28 % ------ iProver source info
% 1.42/1.28
% 1.42/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.42/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.42/1.28 % git: non_committed_changes: false
% 1.42/1.28
% 1.42/1.28 % ------ Parsing...% successful
% 1.42/1.28
% 1.42/1.28
% 1.42/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.42/1.28
% 1.42/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 1.42/1.28
% 1.42/1.28 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.42/1.28
% 1.42/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.42/1.28 % ------ Proving...
% 1.42/1.28 % ------ Problem Properties
% 1.42/1.28
% 1.42/1.28 %
% 1.42/1.28 % clauses 185
% 1.42/1.28 % conjectures 4
% 1.42/1.28 % EPR 59
% 1.42/1.28 % Horn 154
% 1.42/1.28 % unary 62
% 1.42/1.28 % binary 25
% 1.42/1.28 % lits 553
% 1.42/1.28 % lits eq 76
% 1.42/1.28 % fd_pure 0
% 1.42/1.28 % fd_pseudo 0
% 1.42/1.28 % fd_cond 15
% 1.42/1.28 % fd_pseudo_cond 14
% 1.42/1.28 % AC symbols 0
% 1.42/1.28
% 1.42/1.28 % ------ Schedule dynamic 5 is on
% 1.42/1.28
% 1.42/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.42/1.28
% 1.42/1.28
% 1.42/1.28 % ------
% 1.42/1.28 % Current options:
% 1.42/1.28 % ------
% 1.42/1.28
% 1.42/1.28
% 1.42/1.28 %
% 1.42/1.28
% 1.42/1.28 % ------ Proving...
% 1.42/1.28 %
% 1.42/1.28
% 1.42/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.42/1.28
% 1.42/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.42/1.28
% 1.42/1.28
%------------------------------------------------------------------------------