%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET915+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.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 02:49:06 PM UTC 2026
% Result : Theorem 1.53s 1.29s
% Output : CNFRefutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 9 unt; 1 def)
% Number of atoms : 31 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 4 |; 2 &)
% ( 0 <=>; 3 =>; 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 : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn 13 !; 2 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,conjecture,
! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_zfmisc_1) ).
fof(f6,negated_conjecture,
~ ! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_zfmisc_1) ).
fof(f10,plain,
? [X0,X1] :
( ~ in(X0,X1)
& ~ disjoint(singleton(X0),X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f11,plain,
! [X0,X1] :
( in(X0,X1)
| disjoint(singleton(X0),X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f14,plain,
( ~ in(sK2,sK3)
& ~ disjoint(singleton(sK2),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f10]) ).
fof(f19,plain,
~ in(sK2,sK3),
inference(cnf_transformation,[],[f14]) ).
fof(f20,plain,
~ disjoint(singleton(sK2),sK3),
inference(cnf_transformation,[],[f14]) ).
fof(f21,plain,
! [X0,X1] :
( in(X0,X1)
| disjoint(singleton(X0),X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_53,negated_conjecture,
~ disjoint(singleton(sK2),sK3),
inference(cnf_transformation,[],[f20]) ).
tcf(c_54,negated_conjecture,
~ in(sK2,sK3),
inference(cnf_transformation,[],[f19]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( in(X0,X1)
| disjoint(singleton(X0),X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_94,definition,
iPr_def_10 = singleton(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_95,negated_conjecture,
~ in(sK2,sK3),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_96,negated_conjecture,
~ disjoint(iPr_def_10,sK3),
inference(demodulation,[status(thm)],[c_53,c_94]) ).
tcf(c_206,plain,
! [X0: $i] :
( in(sK2,X0)
| disjoint(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_94,c_55]) ).
tcf(c_218,plain,
disjoint(iPr_def_10,sK3),
inference(superposition,[status(thm)],[c_206,c_95]) ).
tcf(c_219,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_218,c_96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET915+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n015.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Thu Sep 24 12:25:27 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 1.53/1.29 % SZS status Started for theBenchmark.p
% 1.53/1.29 % SZS status Theorem for theBenchmark.p
% 1.53/1.29
% 1.53/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.53/1.29
% 1.53/1.29 % ------ iProver source info
% 1.53/1.29
% 1.53/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.53/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.53/1.29 % git: non_committed_changes: false
% 1.53/1.29
% 1.53/1.29 % ------ Parsing...
% 1.53/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.53/1.29
% 1.53/1.29 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.53/1.29
% 1.53/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.53/1.29
% 1.53/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.53/1.29 % ------ Proving...
% 1.53/1.29 % ------ Problem Properties
% 1.53/1.29
% 1.53/1.29 %
% 1.53/1.29 % clauses 6
% 1.53/1.29 % conjectures 2
% 1.53/1.29 % EPR 4
% 1.53/1.29 % Horn 5
% 1.53/1.29 % unary 3
% 1.53/1.29 % binary 3
% 1.53/1.29 % lits 9
% 1.53/1.29 % lits eq 1
% 1.53/1.29 % fd_pure 0
% 1.53/1.29 % fd_pseudo 0
% 1.53/1.29 % fd_cond 0
% 1.53/1.29 % fd_pseudo_cond 0
% 1.53/1.29 % AC symbols 0
% 1.53/1.29
% 1.53/1.29 % ------ Schedule dynamic 5 is on
% 1.53/1.29
% 1.53/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.53/1.29
% 1.53/1.29
% 1.53/1.29 % ------
% 1.53/1.29 % Current options:
% 1.53/1.29 % ------
% 1.53/1.29
% 1.53/1.29
% 1.53/1.29 %
% 1.53/1.29
% 1.53/1.29 % ------ Proving...
% 1.53/1.29 %
% 1.53/1.29
% 1.53/1.29 % SZS status Theorem for theBenchmark.p
% 1.53/1.29
% 1.53/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.53/1.29
% 1.53/1.29
%------------------------------------------------------------------------------