%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC275-1 : 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 03:09:07 PM UTC 2026
% Result : Unsatisfiable 3.16s 1.37s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 75 ( 30 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 34 ~; 40 |; 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 : 6 ( 4 usr; 1 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(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause4) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause67) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',co1_4) ).
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(f207,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
( ~ neq(sk4,nil)
| sk3 = cons(sk5,nil) ),
inference(reorient_equations,[],[f209]) ).
fof(f214,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
tcf(c_248,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_249,negated_conjecture,
~ totalorderedP(sk3),
inference(cnf_transformation,[],[f214]) ).
tcf(c_250,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_251,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_252,negated_conjecture,
( ( cons(sk5,nil) = sk3 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_259,plain,
! [X0: $i] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_260,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f4]) ).
tcf(c_268,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_1277,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_252,c_272]) ).
tcf(c_1278,plain,
( ( sk4 = nil )
| ( cons(sk5,nil) = sk3 )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_1277]) ).
tcf(c_1279,plain,
( ( sk4 = nil )
| ( cons(sk5,nil) = sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_1278,c_248,c_268,c_1278]) ).
tcf(c_1301,plain,
! [X0: $i,X1: $i] :
( ssItem(sk5)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_251,c_272]) ).
tcf(c_1302,plain,
( ssItem(sk5)
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_1301]) ).
tcf(c_1303,plain,
( ssItem(sk5)
| ( sk4 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_1302,c_248,c_268,c_1302]) ).
tcf(c_3188,plain,
( totalorderedP(sk3)
| ( sk4 = nil )
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_1279,c_259]) ).
tcf(c_3189,plain,
( ( sk4 = nil )
| ~ ssItem(sk5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3188,c_249]) ).
tcf(c_3205,plain,
sk4 = nil,
inference(global_subsumption_just,[status(thm)],[c_3189,c_1303,c_3189]) ).
tcf(c_3208,plain,
( ( sk3 = nil )
| ( nil != nil ) ),
inference(demodulation,[status(thm)],[c_250,c_3205]) ).
tcf(c_3210,plain,
sk3 = nil,
inference(equality_resolution_simp,[status(thm)],[c_3208]) ).
tcf(c_3211,plain,
~ totalorderedP(nil),
inference(demodulation,[status(thm)],[c_249,c_3210]) ).
tcf(c_3213,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3211,c_260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC275-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.42 % Computer : n009.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Thu Sep 24 17:21:28 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 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
% 0.16/0.48
% 0.16/0.48 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.48
% 0.16/0.48 % Detected problem language: tptp
% 0.16/0.50 % Proving...
% 3.16/1.37 % SZS status Started for theBenchmark.p
% 3.16/1.37 % SZS status Unsatisfiable for theBenchmark.p
% 3.16/1.37
% 3.16/1.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.16/1.37
% 3.16/1.37 % ------ iProver source info
% 3.16/1.37
% 3.16/1.37 % git: date: 2026-07-19 20:42:38 +0200
% 3.16/1.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.16/1.37 % git: non_committed_changes: false
% 3.16/1.37
% 3.16/1.37 % ------ Parsing...% successful
% 3.16/1.37
% 3.16/1.37
% 3.16/1.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.16/1.37
% 3.16/1.37 % ------ 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 %
% 3.16/1.37
% 3.16/1.37 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.16/1.37
% 3.16/1.37 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.16/1.37 % ------ Proving...
% 3.16/1.37 % ------ Problem Properties
% 3.16/1.37
% 3.16/1.37 %
% 3.16/1.37 % clauses 56
% 3.16/1.37 % conjectures 4
% 3.16/1.37 % EPR 19
% 3.16/1.37 % Horn 42
% 3.16/1.37 % unary 7
% 3.16/1.37 % binary 11
% 3.16/1.37 % lits 211
% 3.16/1.37 % lits eq 39
% 3.16/1.37 % fd_pure 0
% 3.16/1.37 % fd_pseudo 0
% 3.16/1.37 % fd_cond 10
% 3.16/1.37 % fd_pseudo_cond 7
% 3.16/1.37 % AC symbols 0
% 3.16/1.37
% 3.16/1.37 % ------ Schedule dynamic 5 is on
% 3.16/1.37
% 3.16/1.37 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.16/1.37
% 3.16/1.37
% 3.16/1.37 % ------
% 3.16/1.37 % Current options:
% 3.16/1.37 % ------
% 3.16/1.37
% 3.16/1.37
% 3.16/1.37 %
% 3.16/1.37
% 3.16/1.37 % ------ Proving...
% 3.16/1.37 %
% 3.16/1.37
% 3.16/1.37 % SZS status Unsatisfiable for theBenchmark.p
% 3.16/1.37
% 3.16/1.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.16/1.37
% 3.16/1.37
%------------------------------------------------------------------------------