%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC287+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 : 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 03:09:09 PM UTC 2026
% Result : Theorem 0.84s 1.29s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 105 ( 38 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 121 ( 42 ~; 42 |; 30 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 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; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 18 !; 7 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax68) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax69) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ? [X5] :
( leq(X5,X4)
& memberP(X3,X5)
& X4 != X5
& ssItem(X5) )
| ~ memberP(X3,X4)
| cons(X4,nil) != X2
| ~ ssItem(X4) ) )
| strictorderedP(X0)
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ? [X5] :
( leq(X5,X4)
& memberP(X3,X5)
& X4 != X5
& ssItem(X5) )
| ~ memberP(X3,X4)
| cons(X4,nil) != X2
| ~ ssItem(X4) ) )
| strictorderedP(X0)
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ~ strictorderedP(X0)
& X0 = X2
& X1 = X3
& ssList(X3) ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f123,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f68]) ).
fof(f158,plain,
( ssList(sK0)
& ssList(sK1)
& ssList(sK2)
& ( ( nil = sK2
& nil = sK3 )
| ( ! [X5] :
( ~ leq(X5,sK4)
| ~ memberP(sK3,X5)
| sK4 = X5
| ~ ssItem(X5) )
& memberP(sK3,sK4)
& sK2 = cons(sK4,nil)
& ssItem(sK4) ) )
& ~ strictorderedP(sK0)
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f98]) ).
fof(f182,plain,
! [X5] :
( nil = sK2
| ~ leq(X5,sK4)
| ~ memberP(sK3,X5)
| sK4 = X5
| ~ ssItem(X5) ),
inference(cnf_transformation,[],[f158]) ).
fof(f186,plain,
( nil = sK2
| sK2 = cons(sK4,nil) ),
inference(cnf_transformation,[],[f158]) ).
fof(f188,plain,
( nil = sK2
| ssItem(sK4) ),
inference(cnf_transformation,[],[f158]) ).
fof(f190,plain,
~ strictorderedP(sK0),
inference(cnf_transformation,[],[f158]) ).
fof(f191,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f158]) ).
fof(f232,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f233,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f266,plain,
~ strictorderedP(sK2),
inference(definition_unfolding,[],[f190,f191]) ).
tcf(c_50,negated_conjecture,
~ strictorderedP(sK2),
inference(cnf_transformation,[],[f266]) ).
tcf(c_52,negated_conjecture,
( ssItem(sK4)
| ( sK2 = nil ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_54,negated_conjecture,
( ( sK2 = nil )
| ( cons(sK4,nil) = sK2 ) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_58,negated_conjecture,
! [X0: $i] :
( ( sK2 = nil )
| ( X0 = sK4 )
| ~ ssItem(X0)
| ~ leq(X0,sK4)
| ~ memberP(sK3,X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_99,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f232]) ).
tcf(c_100,plain,
! [X0: $i] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_3657,plain,
( strictorderedP(sK2)
| ( sK2 = nil )
| ~ ssItem(sK4) ),
inference(superposition,[status(thm)],[c_54,c_100]) ).
tcf(c_3658,plain,
( ( sK2 = nil )
| ~ ssItem(sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3657,c_50]) ).
tcf(c_3668,negated_conjecture,
sK2 = nil,
inference(global_subsumption_just,[status(thm)],[c_58,c_52,c_3658]) ).
tcf(c_3671,plain,
~ strictorderedP(nil),
inference(demodulation,[status(thm)],[c_50,c_3668]) ).
tcf(c_3673,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3671,c_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC287+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 17:25:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.44 % Proving...
% 0.84/1.29 % SZS status Started for theBenchmark.p
% 0.84/1.29 % SZS status Theorem for theBenchmark.p
% 0.84/1.29
% 0.84/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.84/1.29
% 0.84/1.29 % ------ iProver source info
% 0.84/1.29
% 0.84/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.84/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.84/1.29 % git: non_committed_changes: false
% 0.84/1.29
% 0.84/1.29 % ------ Parsing...
% 0.84/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.84/1.29
% 0.84/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.84/1.29
% 0.84/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.84/1.29
% 0.84/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.84/1.29 % ------ Proving...
% 0.84/1.29 % ------ Problem Properties
% 0.84/1.29
% 0.84/1.29 %
% 0.84/1.29 % clauses 79
% 0.84/1.29 % conjectures 11
% 0.84/1.29 % EPR 24
% 0.84/1.29 % Horn 46
% 0.84/1.29 % unary 9
% 0.84/1.29 % binary 12
% 0.84/1.29 % lits 275
% 0.84/1.29 % lits eq 66
% 0.84/1.29 % fd_pure 0
% 0.84/1.29 % fd_pseudo 0
% 0.84/1.29 % fd_cond 17
% 0.84/1.29 % fd_pseudo_cond 8
% 0.84/1.29 % AC symbols 0
% 0.84/1.29
% 0.84/1.29 % ------ Schedule dynamic 5 is on
% 0.84/1.29
% 0.84/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.84/1.29
% 0.84/1.29
% 0.84/1.29 % ------
% 0.84/1.29 % Current options:
% 0.84/1.29 % ------
% 0.84/1.29
% 0.84/1.29
% 0.84/1.29 %
% 0.84/1.29
% 0.84/1.29 % ------ Proving...
% 0.84/1.29 %
% 0.84/1.29
% 0.84/1.29 % SZS status Theorem for theBenchmark.p
% 0.84/1.29
% 0.84/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.84/1.29
% 0.84/1.29
%------------------------------------------------------------------------------