%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET047-5 : 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 : n008.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 02:46:15 PM UTC 2026
% Result : Unsatisfiable 0.43s 6.28s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 1 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 88 ( 40 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( element(X2,X1)
| ~ element(X2,X0)
| ~ set_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_substitution1) ).
fof(f2,axiom,
! [X2,X0,X1] :
( element(X2,X0)
| ~ element(X2,X1)
| ~ set_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_substitution2) ).
fof(f3,axiom,
! [X0,X1] :
( set_equal(X0,X1)
| element(f(X0,X1),X1)
| element(f(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,axiom,
! [X0,X1] :
( set_equal(X0,X1)
| ~ element(f(X0,X1),X0)
| ~ element(f(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
( set_equal(b,a)
| set_equal(a,b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry1) ).
fof(f6,negated_conjecture,
( ~ set_equal(a,b)
| ~ set_equal(b,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetry2) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( element(X2,X1)
| ~ element(X2,X0)
| ~ set_equal(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( element(X2,X0)
| ~ element(X2,X1)
| ~ set_equal(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( set_equal(X0,X1)
| element(f(X0,X1),X1)
| element(f(X0,X1),X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( set_equal(X0,X1)
| ~ element(f(X0,X1),X1)
| ~ element(f(X0,X1),X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,negated_conjecture,
( set_equal(b,a)
| set_equal(a,b) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
( ~ set_equal(b,a)
| ~ set_equal(a,b) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_117,plain,
( set_equal(b,a)
| element(f(b,a),b)
| element(f(b,a),a) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_118,plain,
( set_equal(b,a)
| ~ element(f(b,a),b)
| ~ element(f(b,a),a) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_119,plain,
! [X0: $i] :
( element(f(b,a),X0)
| ~ set_equal(a,X0)
| ~ element(f(b,a),a) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_121,plain,
( set_equal(a,b)
| ~ element(f(a,b),b)
| ~ element(f(a,b),a) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_122,plain,
( set_equal(a,b)
| element(f(a,b),b)
| element(f(a,b),a) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] :
( element(f(b,a),X1)
| ~ set_equal(X1,X0)
| ~ element(f(b,a),X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_127,plain,
( element(f(b,a),b)
| ~ set_equal(a,b)
| ~ element(f(b,a),a) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_134,plain,
! [X0: $i] :
( element(f(b,a),X0)
| ~ set_equal(X0,b)
| ~ element(f(b,a),b) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_135,plain,
( element(f(b,a),a)
| ~ set_equal(a,b)
| ~ element(f(b,a),b) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_141,plain,
! [X0: $i] :
( element(f(a,b),X0)
| ~ set_equal(X0,a)
| ~ element(f(a,b),a) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( element(f(a,b),X1)
| ~ set_equal(X0,X1)
| ~ element(f(a,b),X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_149,plain,
( element(f(a,b),b)
| ~ set_equal(b,a)
| ~ element(f(a,b),a) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_156,plain,
! [X0: $i] :
( element(f(a,b),X0)
| ~ set_equal(b,X0)
| ~ element(f(a,b),b) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_157,plain,
( element(f(a,b),a)
| ~ set_equal(b,a)
| ~ element(f(a,b),b) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_160,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_157,c_149,c_135,c_127,c_121,c_122,c_118,c_117,c_60,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET047-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.36 % Computer : n008.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Thu Sep 24 09:27:19 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 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
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 0.43/6.28 % SZS status Started for theBenchmark.p
% 0.43/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/6.28
% 0.43/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.43/6.28
% 0.43/6.28 % ------ iProver source info
% 0.43/6.28
% 0.43/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 0.43/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.43/6.28 % git: non_committed_changes: false
% 0.43/6.28
% 0.43/6.28 % ------ Parsing...% successful
% 0.43/6.28
% 0.43/6.28
% 0.43/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.43/6.28
% 0.43/6.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.43/6.28
% 0.43/6.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.43/6.28 % ------ Proving...
% 0.43/6.28 % ------ Problem Properties
% 0.43/6.28
% 0.43/6.28 %
% 0.43/6.28 % clauses 6
% 0.43/6.28 % conjectures 2
% 0.43/6.28 % EPR 4
% 0.43/6.28 % Horn 4
% 0.43/6.28 % unary 0
% 0.43/6.28 % binary 2
% 0.43/6.28 % lits 16
% 0.43/6.28 % lits eq 0
% 0.43/6.28 % fd_pure 0
% 0.43/6.28 % fd_pseudo 0
% 0.43/6.28 % fd_cond 0
% 0.43/6.28 % fd_pseudo_cond 0
% 0.43/6.28 % AC symbols 0
% 0.43/6.28
% 0.43/6.28 % ------ Schedule dynamic 5 is on
% 0.43/6.28
% 0.43/6.28 % ------ no equalities: superposition off
% 0.43/6.28
% 0.43/6.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.43/6.28
% 0.43/6.28
% 0.43/6.28 % ------
% 0.43/6.28 % Current options:
% 0.43/6.28 % ------
% 0.43/6.28
% 0.43/6.28
% 0.43/6.28 %
% 0.43/6.28
% 0.43/6.28 % ------ Proving...
% 0.43/6.28 %
% 0.43/6.28
% 0.43/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/6.28
% 0.43/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/6.29
% 0.43/6.29
%------------------------------------------------------------------------------