%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC404-1 : 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 : 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 03:09:39 PM UTC 2026
% Result : Unsatisfiable 1.29s 1.19s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 20 unt; 0 def)
% Number of atoms : 75 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 87 ( 45 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 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 : 22 ( 0 sgn 22 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001-0.ax',clause141) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
sk4 = app(app(sk5,sk3),sk6),
inference(reorient_equations,[],[f208]) ).
fof(f215,negated_conjecture,
ssItem(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f216,negated_conjecture,
memberP(sk1,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,negated_conjecture,
~ memberP(sk2,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f221,plain,
memberP(sk3,sk7),
inference(definition_unfolding,[],[f216,f205]) ).
fof(f222,plain,
~ memberP(sk4,sk7),
inference(definition_unfolding,[],[f217,f204]) ).
tcf(c_252,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_254,negated_conjecture,
ssList(sk5),
inference(cnf_transformation,[],[f206]) ).
tcf(c_255,negated_conjecture,
ssList(sk6),
inference(cnf_transformation,[],[f207]) ).
tcf(c_256,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
inference(cnf_transformation,[],[f209]) ).
tcf(c_260,negated_conjecture,
ssItem(sk7),
inference(cnf_transformation,[],[f215]) ).
tcf(c_261,negated_conjecture,
memberP(sk3,sk7),
inference(cnf_transformation,[],[f221]) ).
tcf(c_262,negated_conjecture,
~ memberP(sk4,sk7),
inference(cnf_transformation,[],[f222]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_299,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_300,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_3853,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssList(sk6)
| ~ ssItem(X0)
| ~ ssList(app(sk5,sk3))
| ~ memberP(app(sk5,sk3),X0) ),
inference(superposition,[status(thm)],[c_256,c_300]) ).
tcf(c_3871,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk5,sk3))
| ~ memberP(app(sk5,sk3),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3853,c_255]) ).
tcf(c_7942,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssList(sk5)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssList(app(sk5,sk3)) ),
inference(superposition,[status(thm)],[c_299,c_3871]) ).
tcf(c_7943,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssList(app(sk5,sk3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7942,c_254,c_252]) ).
tcf(c_7965,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssList(sk5)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_272,c_7943]) ).
tcf(c_7966,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7965,c_254,c_252]) ).
tcf(c_7980,plain,
( memberP(sk4,sk7)
| ~ ssItem(sk7) ),
inference(superposition,[status(thm)],[c_261,c_7966]) ).
tcf(c_7981,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7980,c_262,c_260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC404-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 18:04:38 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.29/1.19 % SZS status Started for theBenchmark.p
% 1.29/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.19
% 1.29/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.29/1.19
% 1.29/1.19 % ------ iProver source info
% 1.29/1.19
% 1.29/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 1.29/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.29/1.19 % git: non_committed_changes: false
% 1.29/1.19
% 1.29/1.19 % ------ Parsing...% successful
% 1.29/1.19
% 1.29/1.19
% 1.29/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.29/1.19
% 1.29/1.19 % ------ 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 %
% 1.29/1.19
% 1.29/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.29/1.19
% 1.29/1.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.29/1.19 % ------ Proving...
% 1.29/1.19 % ------ Problem Properties
% 1.29/1.19
% 1.29/1.19 %
% 1.29/1.19 % clauses 61
% 1.29/1.19 % conjectures 12
% 1.29/1.19 % EPR 22
% 1.29/1.19 % Horn 50
% 1.29/1.19 % unary 13
% 1.29/1.19 % binary 8
% 1.29/1.19 % lits 225
% 1.29/1.19 % lits eq 40
% 1.29/1.19 % fd_pure 0
% 1.29/1.19 % fd_pseudo 0
% 1.29/1.19 % fd_cond 10
% 1.29/1.19 % fd_pseudo_cond 7
% 1.29/1.19 % AC symbols 0
% 1.29/1.19
% 1.29/1.19 % ------ Schedule dynamic 5 is on
% 1.29/1.19
% 1.29/1.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.29/1.19
% 1.29/1.19
% 1.29/1.19 % ------
% 1.29/1.19 % Current options:
% 1.29/1.19 % ------
% 1.29/1.19
% 1.29/1.19
% 1.29/1.19 %
% 1.29/1.19
% 1.29/1.19 % ------ Proving...
% 1.29/1.19 %
% 1.29/1.19
% 1.29/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.19
% 1.29/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.29/1.19
% 1.29/1.19
%------------------------------------------------------------------------------