%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC218-1 : 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 : n003.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 03:08:54 PM UTC 2026
% Result : Unsatisfiable 4.19s 1.20s
% Output : CNFRefutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 66 ( 32 unt; 0 def)
% Number of atoms : 138 ( 52 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 149 ( 77 ~; 72 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 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 : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil != cons(X0,X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f101]) ).
fof(f121,axiom,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f123]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
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,
ssItem(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
app(app(sk5,cons(sk7,nil)),sk6) = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f212,plain,
sk3 = app(app(sk5,cons(sk7,nil)),sk6),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f216,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f213,f205]) ).
tcf(c_248,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_249,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_250,negated_conjecture,
ssList(sk5),
inference(cnf_transformation,[],[f206]) ).
tcf(c_251,negated_conjecture,
ssList(sk6),
inference(cnf_transformation,[],[f207]) ).
tcf(c_252,negated_conjecture,
app(sk5,sk6) = sk4,
inference(cnf_transformation,[],[f209]) ).
tcf(c_253,negated_conjecture,
ssItem(sk7),
inference(cnf_transformation,[],[f210]) ).
tcf(c_254,negated_conjecture,
app(app(sk5,cons(sk7,nil)),sk6) = sk3,
inference(cnf_transformation,[],[f212]) ).
tcf(c_255,negated_conjecture,
~ neq(sk3,nil),
inference(cnf_transformation,[],[f216]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_263,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_266,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_268,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_606,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != sk3 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_276,c_255]) ).
tcf(c_607,plain,
( ( nil = sk3 )
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(unflattening,[status(thm)],[c_606]) ).
tcf(c_608,plain,
nil = sk3,
inference(global_subsumption_just,[status(thm)],[c_607,c_248,c_268,c_607]) ).
tcf(c_775,plain,
app(app(sk5,cons(sk7,nil)),sk6) = nil,
inference(light_normalisation,[status(thm)],[c_254,c_608]) ).
tcf(c_1480,plain,
app(sk5,nil) = sk5,
inference(superposition,[status(thm)],[c_250,c_266]) ).
tcf(c_1626,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(app(sk5,cons(sk7,nil))) ),
inference(superposition,[status(thm)],[c_775,c_262]) ).
tcf(c_1635,plain,
( ( sk6 = nil )
| ~ ssList(app(sk5,cons(sk7,nil))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1626,c_251]) ).
tcf(c_1673,plain,
! [X0: $i] :
( ~ ssItem(sk7)
| ~ ssList(X0)
| ( cons(sk7,X0) != nil ) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_1674,plain,
( ~ ssItem(sk7)
| ~ ssList(nil)
| ( cons(sk7,nil) != nil ) ),
inference(instantiation,[status(thm)],[c_1673]) ).
tcf(c_1675,plain,
! [X0: $i] :
( ssList(cons(sk7,X0))
| ~ ssItem(sk7)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_272]) ).
tcf(c_1676,plain,
( ssList(cons(sk7,nil))
| ~ ssItem(sk7)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_1675]) ).
tcf(c_1829,plain,
( ( sk6 = nil )
| ~ ssList(sk5)
| ~ ssList(cons(sk7,nil)) ),
inference(superposition,[status(thm)],[c_264,c_1635]) ).
tcf(c_1830,plain,
( ( sk6 = nil )
| ~ ssList(cons(sk7,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1829,c_250]) ).
tcf(c_1833,plain,
sk6 = nil,
inference(global_subsumption_just,[status(thm)],[c_1830,c_253,c_268,c_1676,c_1830]) ).
tcf(c_1839,plain,
app(app(sk5,cons(sk7,nil)),nil) = nil,
inference(demodulation,[status(thm)],[c_775,c_1833]) ).
tcf(c_1840,plain,
app(sk5,nil) = sk4,
inference(demodulation,[status(thm)],[c_252,c_1833]) ).
tcf(c_1842,plain,
sk4 = sk5,
inference(demodulation,[status(thm)],[c_1480,c_1840]) ).
tcf(c_2019,plain,
app(app(sk4,cons(sk7,nil)),nil) = nil,
inference(light_normalisation,[status(thm)],[c_1839,c_1842]) ).
tcf(c_2023,plain,
( ( app(sk4,cons(sk7,nil)) = nil )
| ~ ssList(nil)
| ~ ssList(app(sk4,cons(sk7,nil))) ),
inference(superposition,[status(thm)],[c_2019,c_263]) ).
tcf(c_2027,plain,
( ( app(sk4,cons(sk7,nil)) = nil )
| ~ ssList(app(sk4,cons(sk7,nil))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2023,c_268]) ).
tcf(c_2195,plain,
( ( app(sk4,cons(sk7,nil)) = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk7,nil)) ),
inference(superposition,[status(thm)],[c_264,c_2027]) ).
tcf(c_2196,plain,
( ( app(sk4,cons(sk7,nil)) = nil )
| ~ ssList(cons(sk7,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2195,c_249]) ).
tcf(c_2199,plain,
app(sk4,cons(sk7,nil)) = nil,
inference(global_subsumption_just,[status(thm)],[c_2196,c_253,c_268,c_1676,c_2196]) ).
tcf(c_2207,plain,
( ( cons(sk7,nil) = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk7,nil)) ),
inference(superposition,[status(thm)],[c_2199,c_262]) ).
tcf(c_2214,plain,
( ( cons(sk7,nil) = nil )
| ~ ssList(cons(sk7,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2207,c_249]) ).
tcf(c_2227,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2214,c_1676,c_1674,c_268,c_253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC218-1 : 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 : n003.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 17:04:07 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...
% 4.19/1.20 % SZS status Started for theBenchmark.p
% 4.19/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.20
% 4.19/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.19/1.20
% 4.19/1.20 % ------ iProver source info
% 4.19/1.20
% 4.19/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 4.19/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.19/1.20 % git: non_committed_changes: false
% 4.19/1.20
% 4.19/1.20 % ------ Parsing...% successful
% 4.19/1.20
% 4.19/1.20
% 4.19/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.19/1.20
% 4.19/1.20 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 3 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 4.19/1.20
% 4.19/1.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.19/1.20
% 4.19/1.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.19/1.20 % ------ Proving...
% 4.19/1.20 % ------ Problem Properties
% 4.19/1.20
% 4.19/1.20 %
% 4.19/1.20 % clauses 24
% 4.19/1.20 % conjectures 5
% 4.19/1.20 % EPR 6
% 4.19/1.20 % Horn 24
% 4.19/1.20 % unary 9
% 4.19/1.20 % binary 2
% 4.19/1.20 % lits 66
% 4.19/1.20 % lits eq 23
% 4.19/1.20 % fd_pure 0
% 4.19/1.20 % fd_pseudo 0
% 4.19/1.20 % fd_cond 2
% 4.19/1.20 % fd_pseudo_cond 4
% 4.19/1.20 % AC symbols 0
% 4.19/1.20
% 4.19/1.20 % ------ Schedule dynamic 5 is on
% 4.19/1.20
% 4.19/1.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.19/1.20
% 4.19/1.20
% 4.19/1.20 % ------
% 4.19/1.20 % Current options:
% 4.19/1.20 % ------
% 4.19/1.20
% 4.19/1.20
% 4.19/1.20 %
% 4.19/1.20
% 4.19/1.20 % ------ Proving...
% 4.19/1.20 %
% 4.19/1.20
% 4.19/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.20
% 4.19/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.19/1.20
% 4.19/1.20
%------------------------------------------------------------------------------