%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET014-3 : 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 : n016.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 02:46:02 PM UTC 2026
% Result : Unsatisfiable 92.06s 18.79s
% Output : CNFRefutation 92.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 11 unt; 0 def)
% Number of atoms : 73 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 78 ( 40 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( little_set(X0)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',a2) ).
fof(f36,axiom,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',intersection3) ).
fof(f37,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',complement1) ).
fof(f38,axiom,
! [X0,X1] :
( member(X0,X1)
| ~ little_set(X0)
| member(X0,complement(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',complement2) ).
fof(f39,axiom,
! [X0,X1] : union(X0,X1) = complement(intersection(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',union) ).
fof(f79,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',subset1) ).
fof(f80,axiom,
! [X0,X1] :
( member(f17(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',subset2) ).
fof(f81,axiom,
! [X0,X1] :
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',subset3) ).
fof(f162,axiom,
subset(as,cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_subset_of_c) ).
fof(f163,axiom,
subset(bs,cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_subset_of_c) ).
fof(f164,negated_conjecture,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).
fof(f193,plain,
~ subset(complement(intersection(complement(as),complement(bs))),cs),
inference(definition_unfolding,[],[f164,f39]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i] :
( little_set(X0)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ little_set(X0) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_255,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_256,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(f17(X0,X1),X0) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(f17(X0,X1),X1) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_328,plain,
subset(as,cs),
inference(cnf_transformation,[],[f162]) ).
tcf(c_329,plain,
subset(bs,cs),
inference(cnf_transformation,[],[f163]) ).
tcf(c_330,negated_conjecture,
~ subset(complement(intersection(complement(as),complement(bs))),cs),
inference(cnf_transformation,[],[f193]) ).
tcf(c_1583,plain,
! [X0: $i,X1: $i] :
( ~ member(f17(X0,X1),X1)
| ( X1 != cs )
| ( complement(intersection(complement(as),complement(bs))) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_257,c_330]) ).
tcf(c_1584,plain,
~ member(f17(complement(intersection(complement(as),complement(bs))),cs),cs),
inference(unflattening,[status(thm)],[c_1583]) ).
tcf(c_1588,plain,
! [X0: $i,X1: $i] :
( member(f17(X0,X1),X0)
| ( X1 != cs )
| ( complement(intersection(complement(as),complement(bs))) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_256,c_330]) ).
tcf(c_1589,plain,
member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(intersection(complement(as),complement(bs)))),
inference(unflattening,[status(thm)],[c_1588]) ).
tcf(c_9843,plain,
! [X0: $i] :
( member(f17(complement(intersection(complement(as),complement(bs))),cs),cs)
| ~ subset(X0,cs)
| ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),X0) ),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_9850,plain,
( ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),intersection(complement(as),complement(bs)))
| ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(intersection(complement(as),complement(bs)))) ),
inference(instantiation,[status(thm)],[c_221]) ).
tcf(c_9884,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),intersection(complement(as),complement(bs)))
| ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs))
| ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(as)) ),
inference(instantiation,[status(thm)],[c_220]) ).
tcf(c_9961,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),cs)
| ~ subset(as,cs)
| ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),as) ),
inference(instantiation,[status(thm)],[c_9843]) ).
tcf(c_9962,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),cs)
| ~ subset(bs,cs)
| ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),bs) ),
inference(instantiation,[status(thm)],[c_9843]) ).
tcf(c_10289,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),as)
| member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(as))
| ~ little_set(f17(complement(intersection(complement(as),complement(bs))),cs)) ),
inference(instantiation,[status(thm)],[c_222]) ).
tcf(c_10894,plain,
( little_set(f17(complement(intersection(complement(as),complement(bs))),cs))
| ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(intersection(complement(as),complement(bs)))) ),
inference(instantiation,[status(thm)],[c_193]) ).
tcf(c_11008,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),bs)
| member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs))
| ~ little_set(f17(complement(intersection(complement(as),complement(bs))),cs)) ),
inference(instantiation,[status(thm)],[c_222]) ).
tcf(c_11009,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_11008,c_10894,c_10289,c_9962,c_9961,c_9884,c_9850,c_1589,c_1584,c_328,c_329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET014-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/5.37 % Computer : n016.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Thu Sep 24 09:10:48 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.41 Running first-order theorem proving
% 0.15/5.41 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
% 0.15/5.42
% 0.15/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.42
% 0.15/5.42 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 92.06/18.79 % SZS status Started for theBenchmark.p
% 92.06/18.79 % SZS status Unsatisfiable for theBenchmark.p
% 92.06/18.79
% 92.06/18.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 92.06/18.79
% 92.06/18.79 % ------ iProver source info
% 92.06/18.79
% 92.06/18.79 % git: date: 2026-07-19 20:42:38 +0200
% 92.06/18.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 92.06/18.79 % git: non_committed_changes: false
% 92.06/18.79
% 92.06/18.79 % ------ Parsing...% successful
% 92.06/18.79
% 92.06/18.79
% 92.06/18.79 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 92.06/18.79
% 92.06/18.79 % ------ 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: 1 0s sf_e pe_s pe_e %
% 92.06/18.79
% 92.06/18.79 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 92.06/18.79
% 92.06/18.79 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 92.06/18.79 % ------ Proving...
% 92.06/18.79 % ------ Problem Properties
% 92.06/18.79
% 92.06/18.79 %
% 92.06/18.79 % clauses 132
% 92.06/18.79 % conjectures 1
% 92.06/18.79 % EPR 22
% 92.06/18.79 % Horn 113
% 92.06/18.79 % unary 8
% 92.06/18.79 % binary 89
% 92.06/18.79 % lits 322
% 92.06/18.79 % lits eq 26
% 92.06/18.79 % fd_pure 0
% 92.06/18.79 % fd_pseudo 0
% 92.06/18.79 % fd_cond 4
% 92.06/18.79 % fd_pseudo_cond 6
% 92.06/18.79 % AC symbols 0
% 92.06/18.79
% 92.06/18.79 % ------ Input Options Time Limit: Unbounded
% 92.06/18.79
% 92.06/18.79
% 92.06/18.79 % ------
% 92.06/18.79 % Current options:
% 92.06/18.79 % ------
% 92.06/18.79
% 92.06/18.79
% 92.06/18.79 %
% 92.06/18.79
% 92.06/18.79 % ------ Proving...
% 92.06/18.79 %
% 92.06/18.79
% 92.06/18.79 % SZS status Unsatisfiable for theBenchmark.p
% 92.06/18.79
% 92.06/18.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 92.06/18.79
% 92.06/18.79
%------------------------------------------------------------------------------