%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC020+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 : n014.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 03:07:32 PM UTC 2026
% Result : Theorem 3.63s 1.28s
% Output : CNFRefutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 38 ( 13 unt; 0 def)
% Number of atoms : 143 ( 48 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 168 ( 63 ~; 56 |; 40 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 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 : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn 19 !; 10 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ frontsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X2
| nil != X3 ) )
| ( nil = X0
& nil = X1 )
| ? [X4] :
( frontsegP(X0,X4)
& frontsegP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ frontsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X2
| nil != X3 ) )
| ( nil = X0
& nil = X1 )
| ? [X4] :
( frontsegP(X0,X4)
& frontsegP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f153,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( nil != X0
| nil != X1 )
& ! [X4] :
( ~ frontsegP(X0,X4)
| ~ frontsegP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( nil != X0
| nil != X1 )
& ! [X4] :
( ~ frontsegP(X0,X4)
| ~ frontsegP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(flattening,[],[f221]) ).
fof(f296,plain,
( ssList(sK53)
& ssList(sK54)
& ssList(sK55)
& ssList(sK56)
& ( ( frontsegP(sK56,sK55)
& neq(sK55,nil) )
| ( nil = sK55
& nil = sK56 ) )
& ( nil != sK53
| nil != sK54 )
& ! [X4] :
( ~ frontsegP(sK53,X4)
| ~ frontsegP(sK54,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& sK53 = sK55
& sK54 = sK56 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f222]) ).
fof(f423,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( frontsegP(sK56,sK55)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( neq(sK55,nil)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( frontsegP(sK56,sK55)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
( neq(sK55,nil)
| nil = sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
( nil != sK53
| nil != sK54 ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
! [X4] :
( ~ frontsegP(sK53,X4)
| ~ frontsegP(sK54,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
! [X4] :
( ~ frontsegP(sK55,X4)
| ~ frontsegP(sK56,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f505,f507,f506]) ).
fof(f509,plain,
( nil != sK55
| nil != sK56 ),
inference(definition_unfolding,[],[f504,f507,f506]) ).
fof(f511,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f506]) ).
tcf(c_175,plain,
! [X0: $i] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_246,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ frontsegP(sK55,X0)
| ~ frontsegP(sK56,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_247,negated_conjecture,
( ( nil != sK55 )
| ( nil != sK56 ) ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_248,negated_conjecture,
( neq(sK55,nil)
| ( nil = sK56 ) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_249,negated_conjecture,
( frontsegP(sK56,sK55)
| ( nil = sK56 ) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_250,negated_conjecture,
( neq(sK55,nil)
| ( nil = sK55 ) ),
inference(cnf_transformation,[],[f501]) ).
tcf(c_251,negated_conjecture,
( frontsegP(sK56,sK55)
| ( nil = sK55 ) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_255,negated_conjecture,
ssList(sK55),
inference(cnf_transformation,[],[f511]) ).
tcf(c_368,negated_conjecture,
frontsegP(sK56,sK55),
inference(global_subsumption_just,[status(thm)],[c_251,c_251,c_249,c_247]) ).
tcf(c_370,negated_conjecture,
neq(sK55,nil),
inference(global_subsumption_just,[status(thm)],[c_250,c_250,c_248,c_247]) ).
tcf(c_374,negated_conjecture,
neq(sK55,nil),
inference(global_subsumption_just,[status(thm)],[c_248,c_370]) ).
tcf(c_3262,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ frontsegP(sK55,X0)
| ~ frontsegP(sK56,X0)
| ( nil != nil )
| ( X0 != sK55 ) ),
inference(resolution_lifted,[status(thm)],[c_246,c_374]) ).
tcf(c_3263,plain,
( ~ ssList(sK55)
| ~ frontsegP(sK55,sK55)
| ~ frontsegP(sK56,sK55) ),
inference(unflattening,[status(thm)],[c_3262]) ).
tcf(c_3264,plain,
~ frontsegP(sK55,sK55),
inference(global_subsumption_just,[status(thm)],[c_3263,c_255,c_368,c_3263]) ).
tcf(c_8872,plain,
~ frontsegP(sK55,sK55),
inference(demodulation,[status(thm)],[c_3264]) ).
tcf(c_8876,negated_conjecture,
ssList(sK55),
inference(demodulation,[status(thm)],[c_255]) ).
tcf(c_11766,plain,
~ ssList(sK55),
inference(superposition,[status(thm)],[c_175,c_8872]) ).
tcf(c_11767,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11766,c_8876]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC020+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 15:56:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 3.63/1.28 % SZS status Started for theBenchmark.p
% 3.63/1.28 % SZS status Theorem for theBenchmark.p
% 3.63/1.28
% 3.63/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.63/1.28
% 3.63/1.28 % ------ iProver source info
% 3.63/1.28
% 3.63/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.63/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.63/1.28 % git: non_committed_changes: false
% 3.63/1.28
% 3.63/1.28 % ------ Parsing...
% 3.63/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.63/1.28
% 3.63/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 3.63/1.28
% 3.63/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.63/1.28
% 3.63/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.63/1.28 % ------ Proving...
% 3.63/1.28 % ------ Problem Properties
% 3.63/1.28
% 3.63/1.28 %
% 3.63/1.28 % clauses 186
% 3.63/1.28 % conjectures 3
% 3.63/1.28 % EPR 55
% 3.63/1.28 % Horn 118
% 3.63/1.28 % unary 21
% 3.63/1.28 % binary 40
% 3.63/1.28 % lits 627
% 3.63/1.28 % lits eq 80
% 3.63/1.28 % fd_pure 0
% 3.63/1.28 % fd_pseudo 0
% 3.63/1.28 % fd_cond 22
% 3.63/1.28 % fd_pseudo_cond 14
% 3.63/1.28 % AC symbols 0
% 3.63/1.28
% 3.63/1.28 % ------ Schedule dynamic 5 is on
% 3.63/1.28
% 3.63/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.63/1.28
% 3.63/1.28
% 3.63/1.28 % ------
% 3.63/1.28 % Current options:
% 3.63/1.28 % ------
% 3.63/1.28
% 3.63/1.28
% 3.63/1.28 %
% 3.63/1.28
% 3.63/1.28 % ------ Proving...
% 3.63/1.28 %
% 3.63/1.28
% 3.63/1.28 % SZS status Theorem for theBenchmark.p
% 3.63/1.28
% 3.63/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.63/1.28
% 3.63/1.28
%------------------------------------------------------------------------------