%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET027-4 : 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 : n006.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 02:46:10 PM UTC 2026
% Result : Unsatisfiable 3.93s 6.51s
% Output : CNFRefutation 3.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 13 ~; 16 |; 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset1) ).
fof(f80,axiom,
! [X0,X1] :
( member(f17(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset2) ).
fof(f81,axiom,
! [X0,X1] :
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',subset3) ).
fof(f162,axiom,
subset(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_b) ).
fof(f163,axiom,
subset(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_c) ).
fof(f164,negated_conjecture,
~ subset(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_subset_c) ).
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(a,b),
inference(cnf_transformation,[],[f162]) ).
tcf(c_329,plain,
subset(b,c),
inference(cnf_transformation,[],[f163]) ).
tcf(c_330,negated_conjecture,
~ subset(a,c),
inference(cnf_transformation,[],[f164]) ).
tcf(c_3514,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(f17(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_256,c_255]) ).
tcf(c_3600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(f17(X0,X3),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3514,c_255]) ).
tcf(c_3726,plain,
! [X0: $i,X1: $i] :
( subset(a,X1)
| member(f17(a,X1),X0)
| ~ subset(b,X0) ),
inference(superposition,[status(thm)],[c_328,c_3600]) ).
tcf(c_3975,plain,
! [X0: $i] :
( subset(a,X0)
| ~ subset(b,X0) ),
inference(superposition,[status(thm)],[c_3726,c_257]) ).
tcf(c_4444,plain,
subset(a,c),
inference(superposition,[status(thm)],[c_329,c_3975]) ).
tcf(c_4450,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_330,c_4444]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET027-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.59 % Computer : n006.cluster.edu
% 0.11/5.59 % Model : x86_64 x86_64
% 0.11/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.59 % Memory : 8046.5625MB
% 0.11/5.59 % OS : Linux 6.8.0-71-generic
% 0.11/5.59 % CPULimit : 300
% 0.11/5.59 % WCLimit : 300
% 0.11/5.59 % DateTime : Thu Sep 24 09:17:17 UTC 2026
% 0.11/5.59 % CPUTime :
% 0.11/5.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.63 Running first-order theorem proving
% 0.15/5.63 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
% 0.15/5.65
% 0.15/5.65 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.65
% 0.15/5.65 % Detected problem language: tptp
% 0.15/5.66 % Proving...
% 3.93/6.51 % SZS status Started for theBenchmark.p
% 3.93/6.51 % SZS status Unsatisfiable for theBenchmark.p
% 3.93/6.51
% 3.93/6.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.93/6.51
% 3.93/6.51 % ------ iProver source info
% 3.93/6.51
% 3.93/6.51 % git: date: 2026-07-19 20:42:38 +0200
% 3.93/6.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.93/6.51 % git: non_committed_changes: false
% 3.93/6.51
% 3.93/6.51 % ------ Parsing...% successful
% 3.93/6.51
% 3.93/6.51
% 3.93/6.51 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 % ------ Problem Properties
% 3.93/6.51
% 3.93/6.51 %
% 3.93/6.51 % clauses 138
% 3.93/6.51 % conjectures 1
% 3.93/6.51 % EPR 27
% 3.93/6.51 % Horn 118
% 3.93/6.51 % unary 9
% 3.93/6.51 % binary 92
% 3.93/6.51 % lits 338
% 3.93/6.51 % lits eq 27
% 3.93/6.51 % fd_pure 0
% 3.93/6.51 % fd_pseudo 0
% 3.93/6.51 % fd_cond 4
% 3.93/6.51 % fd_pseudo_cond 7
% 3.93/6.51 % AC symbols 0
% 3.93/6.51
% 3.93/6.51 % ------ Input Options Time Limit: Unbounded
% 3.93/6.51
% 3.93/6.51
% 3.93/6.51 % ------
% 3.93/6.51 % Current options:
% 3.93/6.51 % ------
% 3.93/6.51
% 3.93/6.51
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % ------ Proving...
% 3.93/6.51 %
% 3.93/6.51
% 3.93/6.51 % SZS status Unsatisfiable for theBenchmark.p
% 3.93/6.51
% 3.93/6.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.93/6.51
% 3.93/6.51
%------------------------------------------------------------------------------