%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC185-1 : 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 : n001.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 03:08:29 PM UTC 2026
% Result : Unsatisfiable 2.97s 6.28s
% Output : CNFRefutation 2.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 22 unt; 3 def)
% Number of atoms : 138 ( 27 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 157 ( 88 ~; 69 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X2,X0,X1] :
( ~ memberP(X1,X0)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ memberP(X1,X0)
| sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
! [X2,X0,X1] :
( ~ memberP(X2,X0)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ memberP(X2,X0)
| sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f211,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f212,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f218,plain,
sk3 = app(app(sk6,cons(sk5,nil)),sk7),
inference(definition_unfolding,[],[f214,f205]) ).
tcf(c_436,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_437,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X2,X1)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_438,negated_conjecture,
ssItem(sk5),
inference(cnf_transformation,[],[f210]) ).
tcf(c_439,negated_conjecture,
ssList(sk6),
inference(cnf_transformation,[],[f211]) ).
tcf(c_440,negated_conjecture,
ssList(sk7),
inference(cnf_transformation,[],[f212]) ).
tcf(c_441,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk3,
inference(cnf_transformation,[],[f218]) ).
tcf(c_442,negated_conjecture,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_6530,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6531,definition,
iPr_def_13 = app(sk6,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6532,definition,
iPr_def_14 = app(iPr_def_13,sk7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6533,negated_conjecture,
iPr_def_14 = sk3,
inference(demodulation,[status(thm)],[c_441,c_6530,c_6531,c_6532]) ).
tcf(c_6534,negated_conjecture,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
inference(demodulation,[status(thm)],[c_442]) ).
tcf(c_6535,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_440]) ).
tcf(c_6536,negated_conjecture,
ssList(sk6),
inference(demodulation,[status(thm)],[c_439]) ).
tcf(c_6537,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_438]) ).
tcf(c_6538,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X2,X1)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(demodulation,[status(thm)],[c_437]) ).
tcf(c_6539,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_9097,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X2,X1)
| ( app(app(X0,cons(X1,nil)),X2) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6538,c_6533]) ).
tcf(c_9113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ( app(app(X0,cons(X1,nil)),X2) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6539,c_6533]) ).
tcf(c_9133,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,sk5)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6530,c_9113]) ).
tcf(c_9134,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk5)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X1,sk5)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6530,c_9097]) ).
tcf(c_9135,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X1,sk5)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9134,c_6537]) ).
tcf(c_9140,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,sk5)
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9133,c_6537]) ).
tcf(c_9162,plain,
! [X0: $i] :
( ~ ssList(sk6)
| ~ ssList(X0)
| ~ memberP(sk6,sk5)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6531,c_9140]) ).
tcf(c_9163,plain,
! [X0: $i] :
( ~ ssList(sk6)
| ~ ssList(X0)
| ~ memberP(X0,sk5)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6531,c_9135]) ).
tcf(c_9164,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ memberP(X0,sk5)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9163,c_6536]) ).
tcf(c_9168,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ memberP(sk6,sk5)
| ( app(iPr_def_13,X0) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9162,c_6536]) ).
tcf(c_9186,plain,
( ~ ssList(sk7)
| ~ memberP(sk6,sk5) ),
inference(superposition,[status(thm)],[c_6532,c_9168]) ).
tcf(c_9187,plain,
( ~ ssList(sk7)
| ~ memberP(sk7,sk5) ),
inference(superposition,[status(thm)],[c_6532,c_9164]) ).
tcf(c_9188,plain,
~ memberP(sk7,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_9187,c_6535]) ).
tcf(c_9189,plain,
~ memberP(sk6,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_9186,c_6535]) ).
tcf(c_9190,plain,
memberP(sk6,sk5),
inference(backward_subsumption_resolution,[status(thm)],[c_6534,c_9188]) ).
tcf(c_9191,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9190,c_9189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC185-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n001.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 16:57:15 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 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
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 2.97/6.28 % SZS status Started for theBenchmark.p
% 2.97/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.97/6.28
% 2.97/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.97/6.28
% 2.97/6.28 % ------ iProver source info
% 2.97/6.28
% 2.97/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.97/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.97/6.28 % git: non_committed_changes: false
% 2.97/6.28
% 2.97/6.28 % ------ Parsing...% successful
% 2.97/6.28
% 2.97/6.28
% 2.97/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.97/6.28
% 2.97/6.28 % ------ 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 %
% 2.97/6.28
% 2.97/6.28 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.97/6.28
% 2.97/6.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.97/6.28 % ------ Proving...
% 2.97/6.28 % ------ Problem Properties
% 2.97/6.28
% 2.97/6.28 %
% 2.97/6.28 % clauses 189
% 2.97/6.28 % conjectures 9
% 2.97/6.28 % EPR 59
% 2.97/6.28 % Horn 160
% 2.97/6.28 % unary 67
% 2.97/6.28 % binary 22
% 2.97/6.28 % lits 562
% 2.97/6.28 % lits eq 75
% 2.97/6.28 % fd_pure 0
% 2.97/6.28 % fd_pseudo 0
% 2.97/6.28 % fd_cond 15
% 2.97/6.28 % fd_pseudo_cond 14
% 2.97/6.28 % AC symbols 0
% 2.97/6.28
% 2.97/6.28 % ------ Schedule dynamic 5 is on
% 2.97/6.28
% 2.97/6.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.97/6.28
% 2.97/6.28
% 2.97/6.28 % ------
% 2.97/6.28 % Current options:
% 2.97/6.28 % ------
% 2.97/6.28
% 2.97/6.28
% 2.97/6.28 %
% 2.97/6.28
% 2.97/6.28 % ------ Proving...
% 2.97/6.28 %
% 2.97/6.28
% 2.97/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.97/6.28
% 2.97/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.97/6.28
% 2.97/6.28
%------------------------------------------------------------------------------