%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET019-4 : 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 : n011.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 02:46:06 PM UTC 2026
% Result : Unsatisfiable 8.26s 1.85s
% Output : CNFRefutation 8.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 44 ( 9 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 45 ( 21 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
| member(f1(X0,X1),X1)
| member(f1(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',extensionality2) ).
fof(f4,axiom,
! [X0,X1] :
( X0 = X1
| ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',extensionality3) ).
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(f162,axiom,
subset(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_contains_b) ).
fof(f163,axiom,
subset(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_contains_a) ).
fof(f164,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove__a_equals_b) ).
fof(f165,plain,
b != a,
inference(reorient_equations,[],[f164]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i] :
( member(f1(X0,X1),X1)
| member(f1(X0,X1),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_196,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0) ),
inference(cnf_transformation,[],[f4]) ).
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_328,plain,
subset(b,a),
inference(cnf_transformation,[],[f162]) ).
tcf(c_329,plain,
subset(a,b),
inference(cnf_transformation,[],[f163]) ).
tcf(c_330,negated_conjecture,
b != a,
inference(cnf_transformation,[],[f165]) ).
tcf(c_5240,plain,
( ( b = a )
| ~ member(f1(b,a),a)
| ~ member(f1(b,a),b) ),
inference(instantiation,[status(thm)],[c_196]) ).
tcf(c_5241,plain,
( member(f1(b,a),a)
| member(f1(b,a),b)
| ( b = a ) ),
inference(instantiation,[status(thm)],[c_195]) ).
tcf(c_5331,plain,
! [X0: $i] :
( member(f1(b,a),a)
| ~ subset(X0,a)
| ~ member(f1(b,a),X0) ),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_5631,plain,
! [X0: $i] :
( member(f1(b,a),b)
| ~ subset(X0,b)
| ~ member(f1(b,a),X0) ),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_8834,plain,
( member(f1(b,a),a)
| ~ subset(b,a)
| ~ member(f1(b,a),b) ),
inference(instantiation,[status(thm)],[c_5331]) ).
tcf(c_9127,plain,
( member(f1(b,a),b)
| ~ subset(a,b)
| ~ member(f1(b,a),a) ),
inference(instantiation,[status(thm)],[c_5631]) ).
tcf(c_9158,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9127,c_8834,c_5240,c_5241,c_330,c_328,c_329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET019-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.42 % Computer : n011.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Thu Sep 24 09:12:12 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.49 Running first-order theorem proving
% 0.15/0.49 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
% 0.22/0.51
% 0.22/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.51
% 0.22/0.51 % Detected problem language: tptp
% 0.22/0.52 % Proving...
% 8.26/1.85 % SZS status Started for theBenchmark.p
% 8.26/1.85 % SZS status Unsatisfiable for theBenchmark.p
% 8.26/1.85
% 8.26/1.85 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.26/1.85
% 8.26/1.85 % ------ iProver source info
% 8.26/1.85
% 8.26/1.85 % git: date: 2026-07-19 20:42:38 +0200
% 8.26/1.85 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.26/1.85 % git: non_committed_changes: false
% 8.26/1.85
% 8.26/1.85 % ------ Parsing...% successful
% 8.26/1.85
% 8.26/1.85
% 8.26/1.85 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.26/1.85
% 8.26/1.85 % ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s pe:2:0s pe_e %
% 8.26/1.85
% 8.26/1.85 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 1 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 8.26/1.85
% 8.26/1.85 % ------ Preprocessing...
% 8.26/1.85 % ------ Proving...
% 8.26/1.85 % ------ Problem Properties
% 8.26/1.85
% 8.26/1.85 %
% 8.26/1.85 % clauses 164
% 8.26/1.85 % conjectures 1
% 8.26/1.85 % EPR 28
% 8.26/1.85 % Horn 144
% 8.26/1.85 % unary 8
% 8.26/1.85 % binary 121
% 8.26/1.85 % lits 389
% 8.26/1.85 % lits eq 31
% 8.26/1.85 % fd_pure 0
% 8.26/1.85 % fd_pseudo 0
% 8.26/1.85 % fd_cond 4
% 8.26/1.85 % fd_pseudo_cond 6
% 8.26/1.85 % AC symbols 0
% 8.26/1.85
% 8.26/1.85 % ------ Input Options Time Limit: Unbounded
% 8.26/1.85
% 8.26/1.85
% 8.26/1.85 % ------
% 8.26/1.85 % Current options:
% 8.26/1.85 % ------
% 8.26/1.85
% 8.26/1.85
% 8.26/1.85 %
% 8.26/1.85
% 8.26/1.85 % ------ Proving...
% 8.26/1.85 %
% 8.26/1.85
% 8.26/1.85 % SZS status Unsatisfiable for theBenchmark.p
% 8.26/1.85
% 8.26/1.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.26/1.85
% 8.26/1.85
%------------------------------------------------------------------------------