%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC127-1 : 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 : n012.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 03:08:00 PM UTC 2026
% Result : Unsatisfiable 0.14s 12.00s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 18 unt; 0 def)
% Number of atoms : 48 ( 10 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 43 ( 23 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 1 ( 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 : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause11) ).
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(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f212,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f213,plain,
( ~ segmentP(sk4,sk3)
| ~ neq(sk3,nil) ),
inference(definition_unfolding,[],[f209,f205,f204,f205]) ).
tcf(c_251,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_254,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f11]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_431,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_433,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f212]) ).
tcf(c_434,negated_conjecture,
segmentP(sk4,sk3),
inference(cnf_transformation,[],[f207]) ).
tcf(c_435,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_436,negated_conjecture,
( ~ segmentP(sk4,sk3)
| ~ neq(sk3,nil) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_544,negated_conjecture,
singletonP(sk3),
inference(global_subsumption_just,[status(thm)],[c_435,c_433,c_435]) ).
tcf(c_552,negated_conjecture,
~ neq(sk3,nil),
inference(global_subsumption_just,[status(thm)],[c_436,c_434,c_436]) ).
tcf(c_2760,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != sk3 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_343,c_552]) ).
tcf(c_2761,plain,
( ( nil = sk3 )
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(unflattening,[status(thm)],[c_2760]) ).
tcf(c_2762,plain,
nil = sk3,
inference(global_subsumption_just,[status(thm)],[c_2761,c_431,c_251,c_2761]) ).
tcf(c_4681,plain,
singletonP(nil),
inference(demodulation,[status(thm)],[c_544,c_2762]) ).
tcf(c_4682,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4681,c_254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC127-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/11.20 % Computer : n012.cluster.edu
% 0.11/11.20 % Model : x86_64 x86_64
% 0.11/11.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/11.20 % Memory : 8046.5625MB
% 0.11/11.20 % OS : Linux 6.8.0-71-generic
% 0.11/11.20 % CPULimit : 300
% 0.11/11.20 % WCLimit : 300
% 0.11/11.20 % DateTime : Thu Sep 24 16:32:37 UTC 2026
% 0.11/11.20 % CPUTime :
% 0.11/11.20 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/11.24 Running first-order theorem proving
% 0.11/11.24 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
% 0.11/11.25
% 0.11/11.25 % ======== iProver multi-core TPTP/SMT =========
% 0.11/11.25
% 0.11/11.25 % Detected problem language: tptp
% 0.11/11.26 % Proving...
% 0.14/12.00 % SZS status Started for theBenchmark.p
% 0.14/12.00 % SZS status Unsatisfiable for theBenchmark.p
% 0.14/12.00
% 0.14/12.00 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.14/12.00
% 0.14/12.00 % ------ iProver source info
% 0.14/12.00
% 0.14/12.00 % git: date: 2026-07-19 20:42:38 +0200
% 0.14/12.00 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.14/12.00 % git: non_committed_changes: false
% 0.14/12.00
% 0.14/12.00 % ------ Parsing...% successful
% 0.14/12.00
% 0.14/12.00
% 0.14/12.00 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.14/12.00
% 0.14/12.00 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e %
% 0.14/12.00
% 0.14/12.00 % SZS status Unsatisfiable for theBenchmark.p
% 0.14/12.00
% 0.14/12.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.14/12.00
% 0.14/12.00
%------------------------------------------------------------------------------