%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC189-1 : 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 : n013.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 03:08:35 PM UTC 2026
% Result : Unsatisfiable 3.45s 1.18s
% Output : CNFRefutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 28 unt; 5 def)
% Number of atoms : 114 ( 37 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 101 ( 53 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X2,X3,X0,X1] :
( app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3) != sk3
| X0 = X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
! [X2,X3,X0,X1] :
( sk3 != app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3)
| X0 = X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
sk5 != sk6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f217,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f213,f205]) ).
tcf(c_436,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ( app(app(app(X0,cons(X1,nil)),cons(X2,nil)),X3) != sk3 ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_437,negated_conjecture,
ssItem(sk5),
inference(cnf_transformation,[],[f208]) ).
tcf(c_438,negated_conjecture,
ssItem(sk6),
inference(cnf_transformation,[],[f209]) ).
tcf(c_439,negated_conjecture,
ssList(sk7),
inference(cnf_transformation,[],[f210]) ).
tcf(c_440,negated_conjecture,
ssList(sk8),
inference(cnf_transformation,[],[f211]) ).
tcf(c_441,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk3,
inference(cnf_transformation,[],[f217]) ).
tcf(c_442,negated_conjecture,
sk5 != sk6,
inference(cnf_transformation,[],[f214]) ).
tcf(c_6491,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6492,definition,
iPr_def_13 = app(sk7,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6493,definition,
iPr_def_14 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6494,definition,
iPr_def_15 = app(iPr_def_13,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_6495,definition,
iPr_def_16 = app(iPr_def_15,sk8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_6496,negated_conjecture,
iPr_def_16 = sk3,
inference(demodulation,[status(thm)],[c_441,c_6493,c_6491,c_6492,c_6494,c_6495]) ).
tcf(c_6497,negated_conjecture,
sk5 != sk6,
inference(demodulation,[status(thm)],[c_442]) ).
tcf(c_6498,negated_conjecture,
ssList(sk8),
inference(demodulation,[status(thm)],[c_440]) ).
tcf(c_6499,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_439]) ).
tcf(c_6500,negated_conjecture,
ssItem(sk6),
inference(demodulation,[status(thm)],[c_438]) ).
tcf(c_6501,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_437]) ).
tcf(c_6502,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ( app(app(app(X0,cons(X1,nil)),cons(X2,nil)),X3) != sk3 ) ),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_9046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ( app(app(app(X0,cons(X1,nil)),cons(X2,nil)),X3) != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_6502,c_6496]) ).
tcf(c_9057,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sk5 )
| ~ ssItem(sk5)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(app(X0,iPr_def_12),cons(X1,nil)),X2) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6491,c_9046]) ).
tcf(c_9065,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sk5 )
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(app(X0,iPr_def_12),cons(X1,nil)),X2) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9057,c_6501]) ).
tcf(c_9095,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(X1)
| ( app(app(iPr_def_13,cons(X0,nil)),X1) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6492,c_9065]) ).
tcf(c_9096,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ( app(app(iPr_def_13,cons(X0,nil)),X1) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9095,c_6499]) ).
tcf(c_9111,plain,
! [X0: $i] :
( ( sk5 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(X0)
| ( app(app(iPr_def_13,iPr_def_14),X0) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6493,c_9096]) ).
tcf(c_9116,plain,
! [X0: $i] :
( ( sk5 = sk6 )
| ~ ssItem(sk6)
| ~ ssList(X0)
| ( app(iPr_def_15,X0) != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_9111,c_6494]) ).
tcf(c_9117,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( app(iPr_def_15,X0) != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9116,c_6497,c_6500]) ).
tcf(c_9254,plain,
~ ssList(sk8),
inference(superposition,[status(thm)],[c_6495,c_9117]) ).
tcf(c_9255,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9254,c_6498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC189-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 16:52:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.45/1.18 % SZS status Started for theBenchmark.p
% 3.45/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.45/1.18
% 3.45/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.45/1.18
% 3.45/1.18 % ------ iProver source info
% 3.45/1.18
% 3.45/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.45/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.45/1.18 % git: non_committed_changes: false
% 3.45/1.18
% 3.45/1.18 % ------ Parsing...% successful
% 3.45/1.18
% 3.45/1.18
% 3.45/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.45/1.18
% 3.45/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.45/1.18
% 3.45/1.18 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.45/1.18
% 3.45/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.45/1.18 % ------ Proving...
% 3.45/1.18 % ------ Problem Properties
% 3.45/1.18
% 3.45/1.18 %
% 3.45/1.18 % clauses 191
% 3.45/1.18 % conjectures 9
% 3.45/1.18 % EPR 60
% 3.45/1.18 % Horn 163
% 3.45/1.18 % unary 71
% 3.45/1.18 % binary 21
% 3.45/1.18 % lits 560
% 3.45/1.18 % lits eq 78
% 3.45/1.18 % fd_pure 0
% 3.45/1.18 % fd_pseudo 0
% 3.45/1.18 % fd_cond 15
% 3.45/1.18 % fd_pseudo_cond 15
% 3.45/1.18 % AC symbols 0
% 3.45/1.18
% 3.45/1.18 % ------ Schedule dynamic 5 is on
% 3.45/1.18
% 3.45/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.45/1.18
% 3.45/1.18
% 3.45/1.18 % ------
% 3.45/1.18 % Current options:
% 3.45/1.18 % ------
% 3.45/1.18
% 3.45/1.18
% 3.45/1.18 %
% 3.45/1.18
% 3.45/1.18 % ------ Proving...
% 3.45/1.18 %
% 3.45/1.18
% 3.45/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.45/1.18
% 3.45/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.45/1.18
% 3.45/1.18
%------------------------------------------------------------------------------