%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC379-1 : 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 : n017.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 3.19s 1.40s
% Output : CNFRefutation 4.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 72 ( 14 unt; 0 def)
% Number of atoms : 212 ( 36 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 255 ( 115 ~; 140 |; 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 : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
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,
! [X0] :
( ~ memberP(sk4,X0)
| ssItem(sk5(X0))
| memberP(sk3,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ memberP(sk4,X0)
| memberP(sk4,sk5(X0))
| memberP(sk3,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ memberP(sk4,X0)
| leq(sk5(X0),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
! [X0] :
( ~ memberP(sk4,X0)
| X0 != sk5(X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
! [X0] :
( ~ memberP(sk4,X0)
| sk5(X0) != X0
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
! [X0] :
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ memberP(sk4,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f213,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
( memberP(sk2,sk6)
| memberP(sk1,sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f215,negated_conjecture,
! [X0] :
( ~ leq(X0,sk6)
| ~ memberP(sk2,X0)
| sk6 = X0
| ~ ssItem(X0)
| memberP(sk1,sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f216,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| ssItem(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f217,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| memberP(sk2,sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f218,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| leq(sk7,sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f219,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| sk6 != sk7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f222,plain,
( memberP(sk4,sk6)
| memberP(sk3,sk6) ),
inference(definition_unfolding,[],[f214,f205,f204]) ).
fof(f223,plain,
! [X0] :
( ~ leq(X0,sk6)
| ~ memberP(sk4,X0)
| sk6 = X0
| ~ ssItem(X0)
| memberP(sk3,sk6) ),
inference(definition_unfolding,[],[f215,f205,f204]) ).
fof(f224,plain,
( ~ memberP(sk3,sk6)
| ~ memberP(sk4,sk6)
| ssItem(sk7) ),
inference(definition_unfolding,[],[f216,f204,f205]) ).
fof(f225,plain,
( ~ memberP(sk3,sk6)
| ~ memberP(sk4,sk6)
| memberP(sk4,sk7) ),
inference(definition_unfolding,[],[f217,f204,f204,f205]) ).
fof(f226,plain,
( ~ memberP(sk3,sk6)
| ~ memberP(sk4,sk6)
| leq(sk7,sk6) ),
inference(definition_unfolding,[],[f218,f204,f205]) ).
fof(f227,plain,
( ~ memberP(sk3,sk6)
| ~ memberP(sk4,sk6)
| sk6 != sk7 ),
inference(definition_unfolding,[],[f219,f204,f205]) ).
tcf(c_257,negated_conjecture,
! [X0: $i] :
( memberP(sk3,X0)
| ssItem(sk5(X0))
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_258,negated_conjecture,
! [X0: $i] :
( memberP(sk3,X0)
| memberP(sk4,sk5(X0))
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_259,negated_conjecture,
! [X0: $i] :
( memberP(sk3,X0)
| leq(sk5(X0),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_260,negated_conjecture,
! [X0: $i] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ( sk5(X0) != X0 ) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_261,negated_conjecture,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_262,negated_conjecture,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ memberP(sk3,X1)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_263,negated_conjecture,
ssItem(sk6),
inference(cnf_transformation,[],[f213]) ).
tcf(c_264,negated_conjecture,
( memberP(sk4,sk6)
| memberP(sk3,sk6) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_265,negated_conjecture,
! [X0: $i] :
( memberP(sk3,sk6)
| ( X0 = sk6 )
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ memberP(sk4,X0) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_266,negated_conjecture,
( ssItem(sk7)
| ~ memberP(sk4,sk6)
| ~ memberP(sk3,sk6) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_267,negated_conjecture,
( memberP(sk4,sk7)
| ~ memberP(sk4,sk6)
| ~ memberP(sk3,sk6) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_268,negated_conjecture,
( leq(sk7,sk6)
| ~ memberP(sk4,sk6)
| ~ memberP(sk3,sk6) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_269,negated_conjecture,
( ~ memberP(sk4,sk6)
| ~ memberP(sk3,sk6)
| ( sk6 != sk7 ) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_2639,plain,
( memberP(sk4,sk6)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_264,c_261]) ).
tcf(c_2640,plain,
memberP(sk4,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_2639,c_263]) ).
tcf(c_2641,negated_conjecture,
( ssItem(sk7)
| ~ memberP(sk3,sk6) ),
inference(global_subsumption_just,[status(thm)],[c_266,c_266,c_2640]) ).
tcf(c_2647,negated_conjecture,
( memberP(sk4,sk7)
| ~ memberP(sk3,sk6) ),
inference(global_subsumption_just,[status(thm)],[c_267,c_267,c_2640]) ).
tcf(c_2653,negated_conjecture,
( leq(sk7,sk6)
| ~ memberP(sk3,sk6) ),
inference(global_subsumption_just,[status(thm)],[c_268,c_268,c_2640]) ).
tcf(c_2686,plain,
( memberP(sk3,sk6)
| ssItem(sk5(sk6))
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_2640,c_257]) ).
tcf(c_2687,plain,
( memberP(sk3,sk6)
| ssItem(sk5(sk6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2686,c_263]) ).
tcf(c_2690,plain,
( ( sk6 != sk7 )
| ~ memberP(sk3,sk6) ),
inference(global_subsumption_just,[status(thm)],[c_269,c_269,c_2640]) ).
tcf(c_2691,negated_conjecture,
( ~ memberP(sk3,sk6)
| ( sk6 != sk7 ) ),
inference(renaming,[status(thm)],[c_2690]) ).
tcf(c_2738,plain,
( memberP(sk3,sk6)
| ( sk5(sk6) = sk6 )
| ~ ssItem(sk6)
| ~ memberP(sk4,sk6)
| ~ ssItem(sk5(sk6))
| ~ memberP(sk4,sk5(sk6)) ),
inference(superposition,[status(thm)],[c_259,c_265]) ).
tcf(c_2740,plain,
( memberP(sk3,sk6)
| ( sk5(sk6) = sk6 )
| ~ ssItem(sk5(sk6))
| ~ memberP(sk4,sk5(sk6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2738,c_263,c_2640]) ).
tcf(c_2764,plain,
( leq(sk7,sk6)
| ssItem(sk5(sk6)) ),
inference(superposition,[status(thm)],[c_2687,c_2653]) ).
tcf(c_2765,plain,
( memberP(sk4,sk7)
| ssItem(sk5(sk6)) ),
inference(superposition,[status(thm)],[c_2687,c_2647]) ).
tcf(c_2766,plain,
( ssItem(sk7)
| ssItem(sk5(sk6)) ),
inference(superposition,[status(thm)],[c_2687,c_2641]) ).
tcf(c_2849,plain,
( ssItem(sk5(sk6))
| ( sk6 = sk7 )
| ~ ssItem(sk7)
| ~ ssItem(sk6)
| ~ memberP(sk4,sk7)
| ~ memberP(sk3,sk6) ),
inference(superposition,[status(thm)],[c_2764,c_262]) ).
tcf(c_2851,plain,
( ssItem(sk5(sk6))
| ( sk6 = sk7 )
| ~ ssItem(sk7)
| ~ memberP(sk4,sk7)
| ~ memberP(sk3,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2849,c_263]) ).
tcf(c_2857,plain,
ssItem(sk5(sk6)),
inference(global_subsumption_just,[status(thm)],[c_2765,c_269,c_2640,c_2687,c_2766,c_2765,c_2851]) ).
tcf(c_2861,plain,
( memberP(sk3,sk6)
| ( sk5(sk6) = sk6 )
| ~ memberP(sk4,sk5(sk6)) ),
inference(global_subsumption_just,[status(thm)],[c_2740,c_2740,c_2857]) ).
tcf(c_2869,plain,
( memberP(sk3,sk6)
| ( sk5(sk6) = sk6 )
| ~ ssItem(sk6)
| ~ memberP(sk4,sk6) ),
inference(superposition,[status(thm)],[c_258,c_2861]) ).
tcf(c_2870,plain,
( memberP(sk3,sk6)
| ( sk5(sk6) = sk6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2869,c_263,c_2640]) ).
tcf(c_2880,plain,
( leq(sk7,sk6)
| ( sk5(sk6) = sk6 ) ),
inference(superposition,[status(thm)],[c_2870,c_2653]) ).
tcf(c_2881,plain,
( memberP(sk4,sk7)
| ( sk5(sk6) = sk6 ) ),
inference(superposition,[status(thm)],[c_2870,c_2647]) ).
tcf(c_2882,plain,
( ssItem(sk7)
| ( sk5(sk6) = sk6 ) ),
inference(superposition,[status(thm)],[c_2870,c_2641]) ).
tcf(c_2897,plain,
( ( sk6 = sk7 )
| ( sk5(sk6) = sk6 )
| ~ ssItem(sk7)
| ~ ssItem(sk6)
| ~ memberP(sk4,sk7)
| ~ memberP(sk3,sk6) ),
inference(superposition,[status(thm)],[c_2880,c_262]) ).
tcf(c_2898,plain,
( memberP(sk3,sk6)
| ( sk6 = sk7 )
| ( sk5(sk6) = sk6 )
| ~ ssItem(sk7)
| ~ memberP(sk4,sk7) ),
inference(superposition,[status(thm)],[c_2880,c_265]) ).
tcf(c_2904,plain,
( ( sk6 = sk7 )
| ( sk5(sk6) = sk6 )
| ~ ssItem(sk7)
| ~ memberP(sk4,sk7)
| ~ memberP(sk3,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2897,c_263]) ).
tcf(c_2910,plain,
( ( sk6 = sk7 )
| ( sk5(sk6) = sk6 )
| ~ ssItem(sk7)
| ~ memberP(sk4,sk7) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2898,c_2904]) ).
tcf(c_2915,plain,
sk5(sk6) = sk6,
inference(global_subsumption_just,[status(thm)],[c_2881,c_269,c_2640,c_2870,c_2882,c_2881,c_2910]) ).
tcf(c_2919,plain,
( memberP(sk3,sk6)
| ~ ssItem(sk6)
| ~ memberP(sk4,sk6) ),
inference(superposition,[status(thm)],[c_2915,c_260]) ).
tcf(c_2922,plain,
memberP(sk3,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_2919,c_263,c_2640]) ).
tcf(c_2923,plain,
sk6 != sk7,
inference(backward_subsumption_resolution,[status(thm)],[c_2691,c_2922]) ).
tcf(c_2924,plain,
leq(sk7,sk6),
inference(backward_subsumption_resolution,[status(thm)],[c_2653,c_2922]) ).
tcf(c_2925,plain,
memberP(sk4,sk7),
inference(backward_subsumption_resolution,[status(thm)],[c_2647,c_2922]) ).
tcf(c_2926,plain,
ssItem(sk7),
inference(backward_subsumption_resolution,[status(thm)],[c_2641,c_2922]) ).
tcf(c_2956,plain,
( ( sk6 = sk7 )
| ~ ssItem(sk7)
| ~ ssItem(sk6)
| ~ memberP(sk4,sk7)
| ~ memberP(sk3,sk6) ),
inference(superposition,[status(thm)],[c_2924,c_262]) ).
tcf(c_2957,plain,
~ memberP(sk4,sk7),
inference(forward_subsumption_resolution,[status(thm)],[c_2956,c_2923,c_2926,c_263,c_2922]) ).
tcf(c_2958,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2957,c_2925]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC379-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.41 % Computer : n017.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Thu Sep 24 17:51:16 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.48 Running first-order theorem proving
% 0.15/0.48 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
% 0.15/0.49
% 0.15/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.49
% 0.15/0.49 % Detected problem language: tptp
% 0.23/0.51 % Proving...
% 3.19/1.40 % SZS status Started for theBenchmark.p
% 3.19/1.40 % SZS status Unsatisfiable for theBenchmark.p
% 3.19/1.40
% 3.19/1.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.19/1.40
% 3.19/1.40 % ------ iProver source info
% 3.19/1.40
% 3.19/1.40 % git: date: 2026-07-19 20:42:38 +0200
% 3.19/1.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.19/1.40 % git: non_committed_changes: false
% 3.19/1.40
% 3.19/1.40 % ------ Parsing...% successful
% 3.19/1.40
% 3.19/1.40
% 3.19/1.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.19/1.40
% 3.19/1.40 % ------ 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 %
% 3.19/1.40
% 3.19/1.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.19/1.40
% 3.19/1.40 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.19/1.40 % ------ Proving...
% 3.19/1.40 % ------ Problem Properties
% 3.19/1.40
% 3.19/1.40 %
% 3.19/1.40 % clauses 49
% 3.19/1.40 % conjectures 15
% 3.19/1.40 % EPR 22
% 3.19/1.40 % Horn 41
% 3.19/1.40 % unary 5
% 3.19/1.40 % binary 6
% 3.19/1.40 % lits 183
% 3.19/1.40 % lits eq 27
% 3.19/1.40 % fd_pure 0
% 3.19/1.40 % fd_pseudo 0
% 3.19/1.40 % fd_cond 3
% 3.19/1.40 % fd_pseudo_cond 8
% 3.19/1.40 % AC symbols 0
% 3.19/1.40
% 3.19/1.40 % ------ Schedule dynamic 5 is on
% 3.19/1.40
% 3.19/1.40 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.19/1.40
% 3.19/1.40
% 3.19/1.40 % ------
% 3.19/1.40 % Current options:
% 3.19/1.40 % ------
% 3.19/1.40
% 3.19/1.40
% 3.19/1.40 %
% 3.19/1.40
% 3.19/1.40 % ------ Proving...
% 3.19/1.40 %
% 3.19/1.40
% 3.19/1.40 % SZS status Unsatisfiable for theBenchmark.p
% 3.19/1.40
% 3.19/1.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.58/1.40
% 4.58/1.40
%------------------------------------------------------------------------------