%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 2.10s 6.28s
% Output : CNFRefutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 18 |; 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 : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X2,X0,X1] :
( member(h(X0,X1,X2),X0)
| intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',intersection_axiom1) ).
fof(f11,axiom,
! [X2,X0,X1] :
( member(h(X0,X1,X2),X1)
| intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',intersection_axiom2) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ difference(X3,X1,X2)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-3.ax',not_member_of_difference) ).
fof(f19,axiom,
difference(b,a,bDa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_minus_a) ).
fof(f20,negated_conjecture,
~ intersection(a,bDa,aI_bDa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_intersection_bDa) ).
fof(f21,negated_conjecture,
! [X0] : ~ member(X0,aI_bDa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_aI_bDa_is_empty) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2)
| member(h(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( intersection(X0,X1,X2)
| member(h(X0,X1,X2),X2)
| member(h(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ member(X3,X2)
| ~ member(X3,X1)
| ~ difference(X0,X1,X2) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_88,plain,
difference(b,a,bDa),
inference(cnf_transformation,[],[f19]) ).
tcf(c_89,negated_conjecture,
~ intersection(a,bDa,aI_bDa),
inference(cnf_transformation,[],[f20]) ).
tcf(c_90,negated_conjecture,
! [X0: $i] : ~ member(X0,aI_bDa),
inference(cnf_transformation,[],[f21]) ).
tcf(c_590,plain,
( member(h(a,bDa,aI_bDa),aI_bDa)
| member(h(a,bDa,aI_bDa),bDa) ),
inference(resolution,[status(thm)],[c_89,c_80]) ).
tcf(c_595,plain,
member(h(a,bDa,aI_bDa),bDa),
inference(forward_subsumption_resolution,[status(thm)],[c_590,c_90]) ).
tcf(c_597,plain,
( member(h(a,bDa,aI_bDa),aI_bDa)
| member(h(a,bDa,aI_bDa),a) ),
inference(resolution,[status(thm)],[c_89,c_79]) ).
tcf(c_602,plain,
member(h(a,bDa,aI_bDa),a),
inference(forward_subsumption_resolution,[status(thm)],[c_597,c_90]) ).
tcf(c_1184,plain,
! [X0: $i,X1: $i] :
( ~ difference(X1,a,X0)
| ~ member(h(a,bDa,aI_bDa),a)
| ~ member(h(a,bDa,aI_bDa),X0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_1261,plain,
( ~ difference(b,a,bDa)
| ~ member(h(a,bDa,aI_bDa),bDa)
| ~ member(h(a,bDa,aI_bDa),a) ),
inference(instantiation,[status(thm)],[c_1184]) ).
tcf(c_1262,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1261,c_602,c_595,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n009.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Thu Sep 24 09:04:18 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 2.10/6.28 % SZS status Started for theBenchmark.p
% 2.10/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.10/6.28
% 2.10/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.10/6.28
% 2.10/6.28 % ------ iProver source info
% 2.10/6.28
% 2.10/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.10/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.10/6.28 % git: non_committed_changes: false
% 2.10/6.28
% 2.10/6.28 % ------ Parsing...% successful
% 2.10/6.28
% 2.10/6.28
% 2.10/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.10/6.28
% 2.10/6.28 % ------ 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 %
% 2.10/6.28
% 2.10/6.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.10/6.28 % ------ Proving...
% 2.10/6.28 % ------ Problem Properties
% 2.10/6.28
% 2.10/6.28 %
% 2.10/6.28 % clauses 18
% 2.10/6.28 % conjectures 2
% 2.10/6.28 % EPR 10
% 2.10/6.28 % Horn 11
% 2.10/6.28 % unary 3
% 2.10/6.28 % binary 2
% 2.10/6.28 % lits 50
% 2.10/6.28 % lits eq 0
% 2.10/6.28 % fd_pure 0
% 2.10/6.28 % fd_pseudo 0
% 2.10/6.28 % fd_cond 0
% 2.10/6.28 % fd_pseudo_cond 0
% 2.10/6.28 % AC symbols 0
% 2.10/6.28
% 2.10/6.28 % ------ Schedule dynamic 5 is on
% 2.10/6.28
% 2.10/6.28 % ------ no equalities: superposition off
% 2.10/6.28
% 2.10/6.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.10/6.28
% 2.10/6.28
% 2.10/6.28 % ------
% 2.10/6.28 % Current options:
% 2.10/6.28 % ------
% 2.10/6.28
% 2.10/6.28
% 2.10/6.28 %
% 2.10/6.28
% 2.10/6.28 % ------ Proving...
% 2.10/6.28 %
% 2.10/6.28
% 2.10/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.10/6.28
% 2.10/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.10/6.28
% 2.10/6.28
%------------------------------------------------------------------------------