%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET599+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 02:47:30 PM UTC 2026
% Result : Theorem 0.68s 1.05s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 14 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
fof(f2,axiom,
! [X0,X1] : subset(X0,union(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_of_union) ).
fof(f9,conjecture,
! [X0,X1] : subset(difference(X0,X1),symmetric_difference(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th58) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] : subset(difference(X0,X1),symmetric_difference(X0,X1)),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f12,plain,
? [X0,X1] : ~ subset(difference(X0,X1),symmetric_difference(X0,X1)),
inference(ennf_transformation,[],[f10]) ).
fof(f21,plain,
~ subset(difference(sK2,sK3),symmetric_difference(sK2,sK3)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f12]) ).
fof(f22,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
! [X0,X1] : subset(X0,union(X0,X1)),
inference(cnf_transformation,[],[f2]) ).
fof(f37,plain,
~ subset(difference(sK2,sK3),symmetric_difference(sK2,sK3)),
inference(cnf_transformation,[],[f21]) ).
fof(f39,plain,
~ subset(difference(sK2,sK3),union(difference(sK2,sK3),difference(sK3,sK2))),
inference(definition_unfolding,[],[f37,f22]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : subset(X0,union(X0,X1)),
inference(cnf_transformation,[],[f23]) ).
tcf(c_61,negated_conjecture,
~ subset(difference(sK2,sK3),union(difference(sK2,sK3),difference(sK3,sK2))),
inference(cnf_transformation,[],[f39]) ).
tcf(c_74,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_61,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET599+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Thu Sep 24 11:23:51 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 0.06/0.33
% 0.06/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.06/0.33
% 0.06/0.33 % Detected problem language: tptp
% 0.06/0.33 % Proving...
% 0.68/1.05 % SZS status Started for theBenchmark.p
% 0.68/1.05 % SZS status Theorem for theBenchmark.p
% 0.68/1.05
% 0.68/1.05 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.68/1.05
% 0.68/1.05 % ------ iProver source info
% 0.68/1.05
% 0.68/1.05 % git: date: 2026-07-19 20:42:38 +0200
% 0.68/1.05 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.68/1.05 % git: non_committed_changes: false
% 0.68/1.05
% 0.68/1.05 % ------ Parsing...
% 0.68/1.05 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.68/1.05
% 0.68/1.05 % ------ Preprocessing...%
% 0.68/1.05
% 0.68/1.05 % SZS status Theorem for theBenchmark.p
% 0.68/1.05
% 0.68/1.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.68/1.05
% 0.68/1.05
%------------------------------------------------------------------------------