%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET060-7 : 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 : n007.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 02:46:18 PM UTC 2026
% Result : Unsatisfiable 1.29s 1.29s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 7 unt; 2 def)
% Number of atoms : 34 ( 2 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 22 ( 13 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f112,negated_conjecture,
member(y,intersection(complement(x),x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_special_classes_lemma_1) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_236,negated_conjecture,
member(y,intersection(complement(x),x)),
inference(cnf_transformation,[],[f112]) ).
tcf(c_2842,definition,
iPr_def_10 = complement(x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2843,definition,
iPr_def_11 = intersection(iPr_def_10,x),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2844,negated_conjecture,
member(y,iPr_def_11),
inference(demodulation,[status(thm)],[c_236,c_2842,c_2843]) ).
tcf(c_3725,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2843,c_169]) ).
tcf(c_3754,plain,
! [X0: $i] :
( member(X0,x)
| ~ member(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2843,c_170]) ).
tcf(c_3778,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_10)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_2842,c_172]) ).
tcf(c_3792,plain,
! [X0: $i] : ~ member(X0,iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_3725,c_3725,c_3754,c_3778]) ).
tcf(c_3795,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2844,c_3792]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET060-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 09:27:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.29/1.29 % SZS status Started for theBenchmark.p
% 1.29/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.29
% 1.29/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.29/1.29
% 1.29/1.29 % ------ iProver source info
% 1.29/1.29
% 1.29/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.29/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.29/1.29 % git: non_committed_changes: false
% 1.29/1.29
% 1.29/1.29 % ------ Parsing...% successful
% 1.29/1.29
% 1.29/1.29
% 1.29/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.29/1.29
% 1.29/1.29 % ------ 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 %
% 1.29/1.29
% 1.29/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.29/1.29
% 1.29/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.29/1.29 % ------ Proving...
% 1.29/1.29 % ------ Problem Properties
% 1.29/1.29
% 1.29/1.29 %
% 1.29/1.29 % clauses 78
% 1.29/1.29 % conjectures 1
% 1.29/1.29 % EPR 14
% 1.29/1.29 % Horn 68
% 1.29/1.29 % unary 18
% 1.29/1.29 % binary 36
% 1.29/1.29 % lits 168
% 1.29/1.29 % lits eq 25
% 1.29/1.29 % fd_pure 0
% 1.29/1.29 % fd_pseudo 0
% 1.29/1.29 % fd_cond 3
% 1.29/1.29 % fd_pseudo_cond 6
% 1.29/1.29 % AC symbols 0
% 1.29/1.29
% 1.29/1.29 % ------ Schedule dynamic 5 is on
% 1.29/1.29
% 1.29/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.29/1.29
% 1.29/1.29
% 1.29/1.29 % ------
% 1.29/1.29 % Current options:
% 1.29/1.29 % ------
% 1.29/1.29
% 1.29/1.29
% 1.29/1.29 %
% 1.29/1.29
% 1.29/1.29 % ------ Proving...
% 1.29/1.29 %
% 1.29/1.29
% 1.29/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.29
% 1.29/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.29/1.29
% 1.29/1.29
%------------------------------------------------------------------------------