%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET027-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 4.01s 1.17s
% Output : CNFRefutation 4.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 33 ( 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(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f101,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_1) ).
fof(f102,negated_conjecture,
subclass(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_2) ).
fof(f103,negated_conjecture,
~ subclass(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity_of_subclass_3) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_218,negated_conjecture,
subclass(x,y),
inference(cnf_transformation,[],[f101]) ).
tcf(c_219,negated_conjecture,
subclass(y,z),
inference(cnf_transformation,[],[f102]) ).
tcf(c_220,negated_conjecture,
~ subclass(x,z),
inference(cnf_transformation,[],[f103]) ).
tcf(c_2652,negated_conjecture,
~ subclass(x,z),
inference(demodulation,[status(thm)],[c_220]) ).
tcf(c_2653,negated_conjecture,
subclass(y,z),
inference(demodulation,[status(thm)],[c_219]) ).
tcf(c_2654,negated_conjecture,
subclass(x,y),
inference(demodulation,[status(thm)],[c_218]) ).
tcf(c_3530,plain,
! [X0: $i] :
( member(X0,y)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_2654,c_143]) ).
tcf(c_3531,plain,
! [X0: $i] :
( member(X0,z)
| ~ member(X0,y) ),
inference(superposition,[status(thm)],[c_2653,c_143]) ).
tcf(c_3576,plain,
! [X0: $i] :
( subclass(x,X0)
| member(not_subclass_element(x,X0),y) ),
inference(superposition,[status(thm)],[c_144,c_3530]) ).
tcf(c_3599,plain,
! [X0: $i] :
( subclass(x,X0)
| member(not_subclass_element(x,X0),z) ),
inference(superposition,[status(thm)],[c_3576,c_3531]) ).
tcf(c_3747,plain,
subclass(x,z),
inference(superposition,[status(thm)],[c_3599,c_145]) ).
tcf(c_3749,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3747,c_2652]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET027-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n020.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Thu Sep 24 09:18:33 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 4.01/1.17 % SZS status Started for theBenchmark.p
% 4.01/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.01/1.17
% 4.01/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.01/1.17
% 4.01/1.17 % ------ iProver source info
% 4.01/1.17
% 4.01/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 4.01/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.01/1.17 % git: non_committed_changes: false
% 4.01/1.17
% 4.01/1.17 % ------ Parsing...% successful
% 4.01/1.17
% 4.01/1.17
% 4.01/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.01/1.17
% 4.01/1.17 % ------ 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: 2 0s sf_e pe_s pe_e %
% 4.01/1.17
% 4.01/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.01/1.17
% 4.01/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.01/1.17 % ------ Proving...
% 4.01/1.17 % ------ Problem Properties
% 4.01/1.17
% 4.01/1.17 %
% 4.01/1.17 % clauses 70
% 4.01/1.17 % conjectures 3
% 4.01/1.17 % EPR 15
% 4.01/1.17 % Horn 62
% 4.01/1.17 % unary 18
% 4.01/1.17 % binary 32
% 4.01/1.17 % lits 148
% 4.01/1.17 % lits eq 20
% 4.01/1.17 % fd_pure 0
% 4.01/1.17 % fd_pseudo 0
% 4.01/1.17 % fd_cond 3
% 4.01/1.17 % fd_pseudo_cond 3
% 4.01/1.17 % AC symbols 0
% 4.01/1.17
% 4.01/1.17 % ------ Schedule dynamic 5 is on
% 4.01/1.17
% 4.01/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.01/1.17
% 4.01/1.17
% 4.01/1.17 % ------
% 4.01/1.17 % Current options:
% 4.01/1.17 % ------
% 4.01/1.17
% 4.01/1.17
% 4.01/1.17 %
% 4.01/1.17
% 4.01/1.17 % ------ Proving...
% 4.01/1.17 %
% 4.01/1.17
% 4.01/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.01/1.17
% 4.01/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.01/1.17
% 4.01/1.17
%------------------------------------------------------------------------------