%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 02:46:20 PM UTC 2026
% Result : Theorem 2.65s 1.06s
% Output : CNFRefutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 32 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 12 ~; 6 |; 8 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn 12 !; 5 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X0] :
( X0 != null_class
=> ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',regularity) ).
fof(f44,conjecture,
! [X0] :
( ? [X1] : member(X1,X0)
| X0 = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_unique) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( ? [X1] : member(X1,X0)
| X0 = null_class ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f57,plain,
! [X0] :
( null_class = X0
| ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f60,plain,
? [X0] :
( ! [X1] : ~ member(X1,X0)
& null_class != X0 ),
inference(ennf_transformation,[],[f45]) ).
fof(f101,plain,
! [X0] :
( null_class = X0
| ( disjoint(sK4(X0),X0)
& member(sK4(X0),X0)
& member(sK4(X0),universal_class) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f57]) ).
fof(f103,plain,
( ! [X1] : ~ member(X1,sK6)
& null_class != sK6 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f60]) ).
fof(f186,plain,
! [X0] :
( null_class = X0
| member(sK4(X0),X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f191,plain,
! [X1] : ~ member(X1,sK6),
inference(cnf_transformation,[],[f103]) ).
fof(f192,plain,
null_class != sK6,
inference(cnf_transformation,[],[f103]) ).
tcf(c_124,plain,
! [X0: $i] :
( member(sK4(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_128,negated_conjecture,
null_class != sK6,
inference(cnf_transformation,[],[f192]) ).
tcf(c_129,negated_conjecture,
! [X0: $i] : ~ member(X0,sK6),
inference(cnf_transformation,[],[f191]) ).
tcf(c_1558,negated_conjecture,
! [X0: $i] : ~ member(X0,sK6),
inference(demodulation,[status(thm)],[c_129]) ).
tcf(c_1559,negated_conjecture,
null_class != sK6,
inference(demodulation,[status(thm)],[c_128]) ).
tcf(c_2442,plain,
null_class = sK6,
inference(superposition,[status(thm)],[c_124,c_1558]) ).
tcf(c_2444,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2442,c_1559]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Thu Sep 24 09:31:20 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.07/0.32
% 0.07/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.32
% 0.07/0.32 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 2.65/1.06 % SZS status Started for theBenchmark.p
% 2.65/1.06 % SZS status Theorem for theBenchmark.p
% 2.65/1.06
% 2.65/1.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.65/1.06
% 2.65/1.06 % ------ iProver source info
% 2.65/1.06
% 2.65/1.06 % git: date: 2026-07-19 20:42:38 +0200
% 2.65/1.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.65/1.06 % git: non_committed_changes: false
% 2.65/1.06
% 2.65/1.06 % ------ Parsing...
% 2.65/1.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.65/1.06
% 2.65/1.06 % ------ 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: 4 0s sf_e pe_s pe_e %
% 2.65/1.06
% 2.65/1.06 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.65/1.06
% 2.65/1.06 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.65/1.06 % ------ Proving...
% 2.65/1.06 % ------ Problem Properties
% 2.65/1.06
% 2.65/1.06 %
% 2.65/1.06 % clauses 76
% 2.65/1.06 % conjectures 2
% 2.65/1.06 % EPR 9
% 2.65/1.06 % Horn 68
% 2.65/1.06 % unary 16
% 2.65/1.06 % binary 39
% 2.65/1.06 % lits 158
% 2.65/1.06 % lits eq 15
% 2.65/1.06 % fd_pure 0
% 2.65/1.06 % fd_pseudo 0
% 2.65/1.06 % fd_cond 4
% 2.65/1.06 % fd_pseudo_cond 3
% 2.65/1.06 % AC symbols 0
% 2.65/1.06
% 2.65/1.06 % ------ Schedule dynamic 5 is on
% 2.65/1.06
% 2.65/1.06 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.65/1.06
% 2.65/1.06
% 2.65/1.06 % ------
% 2.65/1.06 % Current options:
% 2.65/1.06 % ------
% 2.65/1.06
% 2.65/1.06
% 2.65/1.06 %
% 2.65/1.06
% 2.65/1.06 % ------ Proving...
% 2.65/1.06 %
% 2.65/1.06
% 2.65/1.06 % SZS status Theorem for theBenchmark.p
% 2.65/1.06
% 2.65/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.65/1.06
% 2.65/1.06
%------------------------------------------------------------------------------