%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET027-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 02:46:10 PM UTC 2026
% Result : Unsatisfiable 6.26s 1.78s
% Output : CNFRefutation 6.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset1) ).
fof(f80,axiom,
! [X0,X1] :
( member(f17(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset2) ).
fof(f81,axiom,
! [X0,X1] :
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset3) ).
fof(f174,axiom,
subset(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_b) ).
fof(f175,axiom,
subset(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_c) ).
fof(f176,negated_conjecture,
~ subset(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_subset_c) ).
tcf(c_266,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(f17(X0,X1),X0) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(f17(X0,X1),X1) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_350,plain,
subset(a,b),
inference(cnf_transformation,[],[f174]) ).
tcf(c_351,plain,
subset(b,c),
inference(cnf_transformation,[],[f175]) ).
tcf(c_352,negated_conjecture,
~ subset(a,c),
inference(cnf_transformation,[],[f176]) ).
tcf(c_9373,negated_conjecture,
~ subset(a,c),
inference(demodulation,[status(thm)],[c_352]) ).
tcf(c_12942,plain,
! [X0: $i] :
( member(X0,b)
| ~ member(X0,a) ),
inference(superposition,[status(thm)],[c_350,c_266]) ).
tcf(c_12943,plain,
! [X0: $i] :
( member(X0,c)
| ~ member(X0,b) ),
inference(superposition,[status(thm)],[c_351,c_266]) ).
tcf(c_13062,plain,
! [X0: $i] :
( subset(a,X0)
| member(f17(a,X0),b) ),
inference(superposition,[status(thm)],[c_267,c_12942]) ).
tcf(c_13253,plain,
! [X0: $i] :
( subset(a,X0)
| member(f17(a,X0),c) ),
inference(superposition,[status(thm)],[c_13062,c_12943]) ).
tcf(c_15587,plain,
subset(a,c),
inference(superposition,[status(thm)],[c_13253,c_268]) ).
tcf(c_15588,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_15587,c_9373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET027-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 % Computer : n020.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Thu Sep 24 09:17:34 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 0.13/0.45
% 0.13/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.45
% 0.13/0.45 % Detected problem language: tptp
% 0.13/0.46 % Proving...
% 6.26/1.78 % SZS status Started for theBenchmark.p
% 6.26/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 6.26/1.78
% 6.26/1.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.26/1.78
% 6.26/1.78 % ------ iProver source info
% 6.26/1.78
% 6.26/1.78 % git: date: 2026-07-19 20:42:38 +0200
% 6.26/1.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.26/1.78 % git: non_committed_changes: false
% 6.26/1.78
% 6.26/1.78 % ------ Parsing...% successful
% 6.26/1.78
% 6.26/1.78
% 6.26/1.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.26/1.78
% 6.26/1.78 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 6.26/1.78
% 6.26/1.78 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.26/1.78
% 6.26/1.78 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.26/1.78 % ------ Proving...
% 6.26/1.78 % ------ Problem Properties
% 6.26/1.78
% 6.26/1.78 %
% 6.26/1.78 % clauses 141
% 6.26/1.78 % conjectures 1
% 6.26/1.78 % EPR 25
% 6.26/1.78 % Horn 122
% 6.26/1.78 % unary 8
% 6.26/1.78 % binary 92
% 6.26/1.78 % lits 344
% 6.26/1.78 % lits eq 35
% 6.26/1.78 % fd_pure 0
% 6.26/1.78 % fd_pseudo 0
% 6.26/1.78 % fd_cond 4
% 6.26/1.78 % fd_pseudo_cond 10
% 6.26/1.78 % AC symbols 0
% 6.26/1.78
% 6.26/1.78 % ------ Schedule dynamic 5 is on
% 6.26/1.78
% 6.26/1.78 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.26/1.78
% 6.26/1.78
% 6.26/1.78 % ------
% 6.26/1.78 % Current options:
% 6.26/1.78 % ------
% 6.26/1.78
% 6.26/1.78
% 6.26/1.78 %
% 6.26/1.78
% 6.26/1.78 % ------ Proving...
% 6.26/1.78 %
% 6.26/1.78
% 6.26/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 6.26/1.78
% 6.26/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.26/1.78
% 6.26/1.78
%------------------------------------------------------------------------------