%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC025+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 03:07:34 PM UTC 2026
% Result : Theorem 3.56s 1.20s
% Output : CNFRefutation 3.56s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f209ERROR: Could not build tree for root c_3969ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ( nil = X0
| nil != X1 ) )
| ? [X4] :
( ( ( memberP(X3,X4)
& ~ memberP(X2,X4) )
| ( memberP(X2,X4)
& ~ memberP(X3,X4) ) )
& ssItem(X4) )
| ~ duplicatefreeP(X2)
| 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)
=> ( ( ( nil = X1
| nil != X0 )
& ( nil = X0
| nil != X1 ) )
| ? [X4] :
( ( ( memberP(X3,X4)
& ~ memberP(X2,X4) )
| ( memberP(X2,X4)
& ~ memberP(X3,X4) ) )
& ssItem(X4) )
| ~ duplicatefreeP(X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( nil != X1
& nil = X0 )
| ( nil != X0
& nil = X1 ) )
& ! [X4] :
( ( ( ~ memberP(X3,X4)
| memberP(X2,X4) )
& ( ~ memberP(X2,X4)
| memberP(X3,X4) ) )
| ~ ssItem(X4) )
& duplicatefreeP(X2)
& X0 = X2
& X1 = X3 ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( nil != X1
& nil = X0 )
| ( nil != X0
& nil = X1 ) )
& ! [X4] :
( ( ( ~ memberP(X3,X4)
| memberP(X2,X4) )
& ( ~ memberP(X2,X4)
| memberP(X3,X4) ) )
| ~ ssItem(X4) )
& duplicatefreeP(X2)
& X0 = X2
& X1 = X3 ) ) ) ),
inference(flattening,[],[f98]) ).
fof(f101,plain,
! [X0] :
( ~ ssList(X0)
| ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ),
inference(ennf_transformation,[],[f20]) ).
fof(f102,plain,
! [X0] :
( ~ ssList(X0)
| ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f125,plain,
( ssList(sK0)
& ssList(sK1)
& ssList(sK2)
& ssList(sK3)
& ( ( nil != sK1
& nil = sK0 )
| ( nil != sK0
& nil = sK1 ) )
& ! [X4] :
( ( ( ~ memberP(sK3,X4)
| memberP(sK2,X4) )
& ( ~ memberP(sK2,X4)
| memberP(sK3,X4) ) )
| ~ ssItem(X4) )
& duplicatefreeP(sK2)
& sK0 = sK2
& sK1 = sK3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f99]) ).
fof(f127,plain,
! [X0] :
( ~ ssList(X0)
| ( cons(sK7(X0),sK6(X0)) = X0
& ssItem(sK7(X0))
& ssList(sK6(X0)) )
| nil = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0))],[f102]) ).
fof(f140,plain,
ssList(sK0),
inference(cnf_transformation,[],[f125]) ).
fof(f141,plain,
ssList(sK1),
inference(cnf_transformation,[],[f125]) ).
fof(f144,plain,
( nil != sK1
| nil != sK0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f147,plain,
( nil = sK0
| nil = sK1 ),
inference(cnf_transformation,[],[f125]) ).
fof(f148,plain,
! [X4] :
( ~ memberP(sK3,X4)
| memberP(sK2,X4)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f125]) ).
fof(f149,plain,
! [X4] :
( ~ memberP(sK2,X4)
| memberP(sK3,X4)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f125]) ).
fof(f151,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f125]) ).
fof(f152,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f125]) ).
fof(f157,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK7(X0),sK6(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f127]) ).
fof(f158,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(sK7(X0))
| nil = X0 ),
inference(cnf_transformation,[],[f127]) ).
fof(f159,plain,
! [X0] :
( ~ ssList(X0)
| ssList(sK6(X0))
| nil = X0 ),
inference(cnf_transformation,[],[f127]) ).
fof(f161,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f197,plain,
( nil = sK2
| nil = sK3 ),
inference(definition_unfolding,[],[f147,f152,f151]) ).
fof(f200,plain,
( nil != sK3
| nil != sK2 ),
inference(definition_unfolding,[],[f144,f151,f152]) ).
fof(f201,plain,
ssList(sK3),
inference(definition_unfolding,[],[f141,f152]) ).
fof(f202,plain,
ssList(sK2),
inference(definition_unfolding,[],[f140,f151]) ).
tcf(c_50,negated_conjecture,
! [X0: $i] :
( memberP(sK3,X0)
| ~ ssItem(X0)
| ~ memberP(sK2,X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( memberP(sK2,X0)
| ~ ssItem(X0)
| ~ memberP(sK3,X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_52,negated_conjecture,
( ( sK3 = nil )
| ( sK2 = nil ) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_53,negated_conjecture,
( ( sK3 != nil )
| ( sK2 != nil ) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_56,negated_conjecture,
ssList(sK3),
inference(cnf_transformation,[],[f201]) ).
tcf(c_57,negated_conjecture,
ssList(sK2),
inference(cnf_transformation,[],[f202]) ).
tcf(c_62,plain,
! [X0: $i] :
( ssList(sK6(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_63,plain,
! [X0: $i] :
( ssItem(sK7(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_64,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(sK7(X0),sK6(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_66,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X0,X1),X0)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_3601,plain,
( ssList(sK6(sK3))
| ( sK3 = nil )
| ~ ssList(sK3) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_3602,plain,
( ssItem(sK7(sK3))
| ( sK3 = nil )
| ~ ssList(sK3) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_3609,plain,
( ( sK3 = nil )
| ( cons(sK7(sK3),sK6(sK3)) = sK3 ) ),
inference(superposition,[status(thm)],[c_56,c_64]) ).
tcf(c_3610,plain,
( ( sK2 = nil )
| ( cons(sK7(sK2),sK6(sK2)) = sK2 ) ),
inference(superposition,[status(thm)],[c_57,c_64]) ).
tcf(c_3715,plain,
( memberP(sK3,sK7(sK3))
| ( sK3 = nil )
| ~ ssList(sK6(sK3))
| ~ ssItem(sK7(sK3)) ),
inference(superposition,[status(thm)],[c_3609,c_67]) ).
tcf(c_3733,plain,
( memberP(sK2,sK7(sK2))
| ( sK2 = nil )
| ~ ssList(sK6(sK2))
| ~ ssItem(sK7(sK2)) ),
inference(superposition,[status(thm)],[c_3610,c_67]) ).
tcf(c_3817,plain,
( memberP(sK3,sK7(sK3))
| ( sK3 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_3715,c_56,c_3601,c_3602,c_3715]) ).
tcf(c_3825,plain,
( memberP(sK2,sK7(sK3))
| ( sK3 = nil )
| ~ ssItem(sK7(sK3)) ),
inference(superposition,[status(thm)],[c_3817,c_51]) ).
tcf(c_3829,plain,
( memberP(sK2,sK7(sK3))
| ( sK3 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_3825,c_56,c_3602,c_3825]) ).
tcf(c_3845,plain,
( memberP(sK3,sK7(sK2))
| ( sK2 = nil )
| ~ ssList(sK6(sK2))
| ~ ssItem(sK7(sK2)) ),
inference(superposition,[status(thm)],[c_3733,c_50]) ).
tcf(c_3858,plain,
( memberP(nil,sK7(sK2))
| ( sK2 = nil )
| ~ ssList(sK6(sK2))
| ~ ssItem(sK7(sK2)) ),
inference(superposition,[status(thm)],[c_52,c_3845]) ).
tcf(c_3872,plain,
( ( sK2 = nil )
| ~ ssList(sK6(sK2))
| ~ ssItem(sK7(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3858,c_66]) ).
tcf(c_3882,plain,
( ( sK2 = nil )
| ~ ssList(sK2)
| ~ ssList(sK6(sK2)) ),
inference(superposition,[status(thm)],[c_63,c_3872]) ).
tcf(c_3883,plain,
( ( sK2 = nil )
| ~ ssList(sK6(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3882,c_57]) ).
tcf(c_3892,plain,
( ( sK2 = nil )
| ~ ssList(sK2) ),
inference(superposition,[status(thm)],[c_62,c_3883]) ).
tcf(c_3893,plain,
sK2 = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_3892,c_57]) ).
tcf(c_3894,plain,
sK3 != nil,
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_3893]) ).
tcf(c_3895,plain,
( memberP(nil,sK7(sK3))
| ( sK3 = nil ) ),
inference(demodulation,[status(thm)],[c_3829,c_3893]) ).
tcf(c_3907,plain,
memberP(nil,sK7(sK3)),
inference(forward_subsumption_resolution,[status(thm)],[c_3895,c_3894]) ).
tcf(c_3968,plain,
~ ssItem(sK7(sK3)),
inference(superposition,[status(thm)],[c_3907,c_66]) ).
tcf(c_3969,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3968,c_3893,c_3602,c_53,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC025+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 15:58:58 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 3.56/1.20 % SZS status Started for theBenchmark.p
% 3.56/1.20 % SZS status Theorem for theBenchmark.p
% 3.56/1.20
% 3.56/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.56/1.20
% 3.56/1.20 % ------ iProver source info
% 3.56/1.20
% 3.56/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 3.56/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.56/1.20 % git: non_committed_changes: false
% 3.56/1.20
% 3.56/1.20 % ------ Parsing...
% 3.56/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.56/1.20
% 3.56/1.20 % ------ 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 %
% 3.56/1.20
% 3.56/1.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.56/1.20
% 3.56/1.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.56/1.20 % ------ Proving...
% 3.56/1.20 % ------ Problem Properties
% 3.56/1.20
% 3.56/1.20 %
% 3.56/1.20 % clauses 51
% 3.56/1.20 % conjectures 7
% 3.56/1.20 % EPR 13
% 3.56/1.20 % Horn 38
% 3.56/1.20 % unary 9
% 3.56/1.20 % binary 6
% 3.56/1.20 % lits 163
% 3.56/1.20 % lits eq 33
% 3.56/1.20 % fd_pure 0
% 3.56/1.20 % fd_pseudo 0
% 3.56/1.20 % fd_cond 4
% 3.56/1.20 % fd_pseudo_cond 5
% 3.56/1.20 % AC symbols 0
% 3.56/1.20
% 3.56/1.20 % ------ Schedule dynamic 5 is on
% 3.56/1.20
% 3.56/1.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.56/1.20
% 3.56/1.20
% 3.56/1.20 % ------
% 3.56/1.20 % Current options:
% 3.56/1.20 % ------
% 3.56/1.20
% 3.56/1.20
% 3.56/1.20 %
% 3.56/1.20
% 3.56/1.20 % ------ Proving...
% 3.56/1.20 %
% 3.56/1.20
% 3.56/1.20 % SZS status Theorem for theBenchmark.p
% 3.56/1.20
% 3.56/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.56/1.20
% 3.56/1.20
%------------------------------------------------------------------------------