%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC378-1 : 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 : n011.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 03:09:32 PM UTC 2026
% Result : Unsatisfiable 4.54s 21.36s
% Output : CNFRefutation 4.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 51 ( 18 unt; 0 def)
% Number of atoms : 138 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 160 ( 73 ~; 87 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause141) ).
fof(f170,axiom,
! [X2,X0,X1] :
( memberP(X0,X2)
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause158) ).
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,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
app(sk5,sk6) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
sk4 = app(sk5,sk6),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
app(sk6,sk5) = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f211,plain,
sk3 = app(sk6,sk5),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
ssItem(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
( memberP(sk1,sk7)
| memberP(sk2,sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
( ~ memberP(sk1,sk7)
| ~ memberP(sk2,sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f217,plain,
( memberP(sk3,sk7)
| memberP(sk4,sk7) ),
inference(definition_unfolding,[],[f213,f204,f205]) ).
fof(f218,plain,
( ~ memberP(sk3,sk7)
| ~ memberP(sk4,sk7) ),
inference(definition_unfolding,[],[f214,f204,f205]) ).
tcf(c_251,negated_conjecture,
ssList(sk5),
inference(cnf_transformation,[],[f206]) ).
tcf(c_252,negated_conjecture,
ssList(sk6),
inference(cnf_transformation,[],[f207]) ).
tcf(c_253,negated_conjecture,
app(sk5,sk6) = sk4,
inference(cnf_transformation,[],[f209]) ).
tcf(c_254,negated_conjecture,
app(sk6,sk5) = sk3,
inference(cnf_transformation,[],[f211]) ).
tcf(c_255,negated_conjecture,
ssItem(sk7),
inference(cnf_transformation,[],[f212]) ).
tcf(c_256,negated_conjecture,
( memberP(sk4,sk7)
| memberP(sk3,sk7) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_257,negated_conjecture,
( ~ memberP(sk4,sk7)
| ~ memberP(sk3,sk7) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_271,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| memberP(X0,X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(app(X0,X1),X2) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_2299,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssItem(X0)
| ~ memberP(sk6,X0) ),
inference(superposition,[status(thm)],[c_253,c_272]) ).
tcf(c_2300,plain,
! [X0: $i] :
( memberP(sk3,X0)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssItem(X0)
| ~ memberP(sk5,X0) ),
inference(superposition,[status(thm)],[c_254,c_272]) ).
tcf(c_2318,plain,
! [X0: $i] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(sk5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2300,c_252,c_251]) ).
tcf(c_2322,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2299,c_252,c_251]) ).
tcf(c_2340,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssItem(X0)
| ~ memberP(sk5,X0) ),
inference(superposition,[status(thm)],[c_253,c_273]) ).
tcf(c_2341,plain,
! [X0: $i] :
( memberP(sk3,X0)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssItem(X0)
| ~ memberP(sk6,X0) ),
inference(superposition,[status(thm)],[c_254,c_273]) ).
tcf(c_2359,plain,
! [X0: $i] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(sk6,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2341,c_252,c_251]) ).
tcf(c_2363,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2340,c_252,c_251]) ).
tcf(c_2624,plain,
! [X0: $i] :
( memberP(sk6,X0)
| memberP(sk5,X0)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(superposition,[status(thm)],[c_253,c_271]) ).
tcf(c_2625,plain,
! [X0: $i] :
( memberP(sk6,X0)
| memberP(sk5,X0)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_254,c_271]) ).
tcf(c_2648,plain,
! [X0: $i] :
( memberP(sk6,X0)
| memberP(sk5,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2625,c_252,c_251]) ).
tcf(c_2653,plain,
! [X0: $i] :
( memberP(sk6,X0)
| memberP(sk5,X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2624,c_252,c_251]) ).
tcf(c_4881,plain,
( memberP(sk6,sk7)
| memberP(sk5,sk7)
| memberP(sk3,sk7)
| ~ ssItem(sk7) ),
inference(superposition,[status(thm)],[c_256,c_2653]) ).
tcf(c_4882,plain,
( memberP(sk6,sk7)
| memberP(sk5,sk7)
| memberP(sk3,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4881,c_255]) ).
tcf(c_4892,plain,
( memberP(sk5,sk7)
| memberP(sk3,sk7)
| ~ ssItem(sk7) ),
inference(superposition,[status(thm)],[c_4882,c_2359]) ).
tcf(c_4894,plain,
( memberP(sk5,sk7)
| memberP(sk3,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4892,c_255]) ).
tcf(c_4902,plain,
( memberP(sk3,sk7)
| ~ ssItem(sk7) ),
inference(superposition,[status(thm)],[c_4894,c_2318]) ).
tcf(c_4903,plain,
memberP(sk3,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_4902,c_255]) ).
tcf(c_4904,plain,
~ memberP(sk4,sk7),
inference(backward_subsumption_resolution,[status(thm)],[c_257,c_4903]) ).
tcf(c_4905,plain,
( memberP(sk6,sk7)
| memberP(sk5,sk7)
| ~ ssItem(sk7) ),
inference(superposition,[status(thm)],[c_4903,c_2648]) ).
tcf(c_4906,plain,
( memberP(sk6,sk7)
| memberP(sk5,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4905,c_255]) ).
tcf(c_4914,plain,
( memberP(sk5,sk7)
| memberP(sk4,sk7)
| ~ ssItem(sk7) ),
inference(superposition,[status(thm)],[c_4906,c_2322]) ).
tcf(c_4915,plain,
memberP(sk5,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_4914,c_4904,c_255]) ).
tcf(c_4916,plain,
( memberP(sk4,sk7)
| ~ ssItem(sk7) ),
inference(superposition,[status(thm)],[c_4915,c_2363]) ).
tcf(c_4918,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4916,c_4904,c_255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC378-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/20.44 % CPULimit : 300
% 0.08/20.44 % WCLimit : 300
% 0.08/20.44 % DateTime : Thu Sep 24 17:56:27 UTC 2026
% 0.08/20.44 % CPUTime :
% 0.08/20.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/20.48 Running first-order theorem proving
% 0.08/20.48 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
% 0.08/20.49
% 0.08/20.49 % ======== iProver multi-core TPTP/SMT =========
% 0.08/20.49
% 0.08/20.49 % Detected problem language: tptp
% 0.35/20.50 % Proving...
% 4.54/21.36 % SZS status Started for theBenchmark.p
% 4.54/21.36 % SZS status Unsatisfiable for theBenchmark.p
% 4.54/21.36
% 4.54/21.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.54/21.36
% 4.54/21.36 % ------ iProver source info
% 4.54/21.36
% 4.54/21.36 % git: date: 2026-07-19 20:42:38 +0200
% 4.54/21.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.54/21.36 % git: non_committed_changes: false
% 4.54/21.36
% 4.54/21.36 % ------ Parsing...% successful
% 4.54/21.36
% 4.54/21.36
% 4.54/21.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.54/21.36
% 4.54/21.36 % ------ 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 %
% 4.54/21.36
% 4.54/21.36 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.54/21.36
% 4.54/21.36 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.54/21.36 % ------ Proving...
% 4.54/21.36 % ------ Problem Properties
% 4.54/21.36
% 4.54/21.36 %
% 4.54/21.36 % clauses 34
% 4.54/21.36 % conjectures 9
% 4.54/21.36 % EPR 9
% 4.54/21.36 % Horn 31
% 4.54/21.36 % unary 9
% 4.54/21.36 % binary 5
% 4.54/21.36 % lits 107
% 4.54/21.36 % lits eq 23
% 4.54/21.36 % fd_pure 0
% 4.54/21.36 % fd_pseudo 0
% 4.54/21.36 % fd_cond 2
% 4.54/21.36 % fd_pseudo_cond 5
% 4.54/21.36 % AC symbols 0
% 4.54/21.36
% 4.54/21.36 % ------ Schedule dynamic 5 is on
% 4.54/21.36
% 4.54/21.36 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.54/21.36
% 4.54/21.36
% 4.54/21.36 % ------
% 4.54/21.36 % Current options:
% 4.54/21.36 % ------
% 4.54/21.36
% 4.54/21.36
% 4.54/21.36 %
% 4.54/21.36
% 4.54/21.36 % ------ Proving...
% 4.54/21.36 %
% 4.54/21.36
% 4.54/21.36 % SZS status Unsatisfiable for theBenchmark.p
% 4.54/21.36
% 4.54/21.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.54/21.36
% 4.54/21.36
%------------------------------------------------------------------------------