%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 02:45:59 PM UTC 2026
% Result : Unsatisfiable 2.82s 1.28s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 90 ( 45 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ subset(X1,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',membership_in_subsets) ).
fof(f2,axiom,
! [X0,X1] :
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom1) ).
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
| ~ member(member_of_1_not_of_2(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( member(X3,X0)
| ~ member(X3,X2)
| ~ difference(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',member_of_difference) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ difference(X3,X1,X2)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',not_member_of_difference) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( member(X0,X2)
| member(X0,X3)
| ~ difference(X1,X2,X3)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',member_of_difference_or_set2) ).
fof(f13,axiom,
subset(d,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_a_subset_of_a) ).
fof(f14,axiom,
difference(b,a,bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_a) ).
fof(f15,axiom,
difference(b,d,bDd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_d) ).
fof(f16,negated_conjecture,
~ subset(bDa,bDd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_bDa_is_a_subset_of_bDd) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(member_of_1_not_of_2(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(member_of_1_not_of_2(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X3,X0)
| ~ member(X3,X2)
| ~ difference(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ member(X3,X2)
| ~ member(X3,X1)
| ~ difference(X0,X1,X2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X3,X2)
| member(X3,X1)
| ~ member(X3,X0)
| ~ difference(X0,X1,X2) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_77,plain,
subset(d,a),
inference(cnf_transformation,[],[f13]) ).
tcf(c_78,plain,
difference(b,a,bDa),
inference(cnf_transformation,[],[f14]) ).
tcf(c_79,plain,
difference(b,d,bDd),
inference(cnf_transformation,[],[f15]) ).
tcf(c_80,negated_conjecture,
~ subset(bDa,bDd),
inference(cnf_transformation,[],[f16]) ).
tcf(c_193,plain,
~ member(member_of_1_not_of_2(bDa,bDd),bDd),
inference(resolution,[status(thm)],[c_80,c_67]) ).
tcf(c_197,plain,
member(member_of_1_not_of_2(bDa,bDd),bDa),
inference(resolution,[status(thm)],[c_80,c_66]) ).
tcf(c_806,plain,
! [X0: $i,X1: $i] :
( member(member_of_1_not_of_2(bDa,bDd),X0)
| ~ difference(X0,X1,bDa)
| ~ member(member_of_1_not_of_2(bDa,bDd),bDa) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_815,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(member_of_1_not_of_2(bDa,bDd),X2)
| member(member_of_1_not_of_2(bDa,bDd),X1)
| ~ difference(X0,X1,X2)
| ~ member(member_of_1_not_of_2(bDa,bDd),X0) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_816,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ difference(X2,X0,X1)
| ~ member(member_of_1_not_of_2(bDa,bDd),X1)
| ~ member(member_of_1_not_of_2(bDa,bDd),X0) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_818,plain,
! [X0: $i,X1: $i] :
( member(member_of_1_not_of_2(bDa,bDd),X1)
| ~ subset(X0,X1)
| ~ member(member_of_1_not_of_2(bDa,bDd),X0) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_832,plain,
( member(member_of_1_not_of_2(bDa,bDd),b)
| ~ difference(b,a,bDa)
| ~ member(member_of_1_not_of_2(bDa,bDd),bDa) ),
inference(instantiation,[status(thm)],[c_806]) ).
tcf(c_893,plain,
( ~ difference(b,a,bDa)
| ~ member(member_of_1_not_of_2(bDa,bDd),bDa)
| ~ member(member_of_1_not_of_2(bDa,bDd),a) ),
inference(instantiation,[status(thm)],[c_816]) ).
tcf(c_1098,plain,
! [X0: $i,X1: $i] :
( member(member_of_1_not_of_2(bDa,bDd),X1)
| member(member_of_1_not_of_2(bDa,bDd),X0)
| ~ difference(b,X0,X1)
| ~ member(member_of_1_not_of_2(bDa,bDd),b) ),
inference(instantiation,[status(thm)],[c_815]) ).
tcf(c_1802,plain,
( member(member_of_1_not_of_2(bDa,bDd),bDd)
| member(member_of_1_not_of_2(bDa,bDd),d)
| ~ difference(b,d,bDd)
| ~ member(member_of_1_not_of_2(bDa,bDd),b) ),
inference(instantiation,[status(thm)],[c_1098]) ).
tcf(c_3494,plain,
! [X0: $i] :
( member(member_of_1_not_of_2(bDa,bDd),X0)
| ~ subset(d,X0)
| ~ member(member_of_1_not_of_2(bDa,bDd),d) ),
inference(instantiation,[status(thm)],[c_818]) ).
tcf(c_3499,plain,
( member(member_of_1_not_of_2(bDa,bDd),a)
| ~ subset(d,a)
| ~ member(member_of_1_not_of_2(bDa,bDd),d) ),
inference(instantiation,[status(thm)],[c_3494]) ).
tcf(c_3500,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3499,c_1802,c_893,c_832,c_197,c_193,c_78,c_79,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 09:06:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 2.82/1.28 % SZS status Started for theBenchmark.p
% 2.82/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.82/1.28
% 2.82/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.82/1.28
% 2.82/1.28 % ------ iProver source info
% 2.82/1.28
% 2.82/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.82/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.82/1.28 % git: non_committed_changes: false
% 2.82/1.28
% 2.82/1.28 % ------ Parsing...% successful
% 2.82/1.28
% 2.82/1.28
% 2.82/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.82/1.28
% 2.82/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.82/1.28
% 2.82/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.82/1.28 % ------ Proving...
% 2.82/1.28 % ------ Problem Properties
% 2.82/1.28
% 2.82/1.28 %
% 2.82/1.28 % clauses 13
% 2.82/1.28 % conjectures 1
% 2.82/1.28 % EPR 8
% 2.82/1.28 % Horn 8
% 2.82/1.28 % unary 4
% 2.82/1.28 % binary 2
% 2.82/1.28 % lits 31
% 2.82/1.28 % lits eq 0
% 2.82/1.28 % fd_pure 0
% 2.82/1.28 % fd_pseudo 0
% 2.82/1.28 % fd_cond 0
% 2.82/1.28 % fd_pseudo_cond 0
% 2.82/1.28 % AC symbols 0
% 2.82/1.28
% 2.82/1.28 % ------ Schedule dynamic 5 is on
% 2.82/1.28
% 2.82/1.28 % ------ no equalities: superposition off
% 2.82/1.28
% 2.82/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.82/1.28
% 2.82/1.28
% 2.82/1.28 % ------
% 2.82/1.28 % Current options:
% 2.82/1.28 % ------
% 2.82/1.28
% 2.82/1.28
% 2.82/1.28 %
% 2.82/1.28
% 2.82/1.28 % ------ Proving...
% 2.82/1.28 %
% 2.82/1.28
% 2.82/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.82/1.28
% 2.82/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.82/1.28
% 2.82/1.28
%------------------------------------------------------------------------------