%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET787-2 : TPTP v9.3.1. Released v2.7.0.
% 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 02:48:34 PM UTC 2026
% Result : Unsatisfiable 121.74s 35.90s
% Output : CNFRefutation 121.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 47 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 20 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f106,axiom,
! [X0,X1] :
( X0 = X1
| ~ member(X0,cons(X1,eptset)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f107,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| X0 = X1
| ~ member(X0,cons(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f114,axiom,
! [X0,X1] :
( member(X0,unionE_sk1(X0,X1))
| ~ member(X0,union(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f115,axiom,
! [X0,X1] :
( member(unionE_sk1(X0,X1),X1)
| ~ member(X0,union(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f158,axiom,
! [X2,X0,X1] :
( member(X0,un(X1,X2))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unI1) ).
fof(f159,axiom,
! [X2,X0,X1] :
( member(X0,un(X2,X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unI2) ).
fof(f165,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).
fof(f166,negated_conjecture,
~ member(sk2,un(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).
tcf(c_284,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(X0,cons(X1,eptset)) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ( X0 = X1 )
| ~ member(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i] :
( member(X0,unionE_sk1(X0,X1))
| ~ member(X0,union(X1)) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i] :
( member(unionE_sk1(X0,X1),X1)
| ~ member(X0,union(X1)) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,un(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,un(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_337,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
inference(cnf_transformation,[],[f165]) ).
tcf(c_338,negated_conjecture,
~ member(sk2,un(a,b)),
inference(cnf_transformation,[],[f166]) ).
tcf(c_4610,plain,
~ member(sk2,b),
inference(superposition,[status(thm)],[c_332,c_338]) ).
tcf(c_4611,plain,
~ member(sk2,a),
inference(superposition,[status(thm)],[c_331,c_338]) ).
tcf(c_6936,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(unionE_sk1(X0,cons(X1,X2)),X2)
| ( unionE_sk1(X0,cons(X1,X2)) = X1 )
| ~ member(X0,union(cons(X1,X2))) ),
inference(superposition,[status(thm)],[c_293,c_285]) ).
tcf(c_7001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( unionE_sk1(X0,cons(X1,cons(X2,eptset))) = X2 )
| ( unionE_sk1(X0,cons(X1,cons(X2,eptset))) = X1 )
| ~ member(X0,union(cons(X1,cons(X2,eptset)))) ),
inference(superposition,[status(thm)],[c_6936,c_284]) ).
tcf(c_7504,plain,
( ( unionE_sk1(sk2,cons(a,cons(b,eptset))) = b )
| ( unionE_sk1(sk2,cons(a,cons(b,eptset))) = a ) ),
inference(superposition,[status(thm)],[c_337,c_7001]) ).
tcf(c_7570,plain,
( member(sk2,b)
| ( unionE_sk1(sk2,cons(a,cons(b,eptset))) = a )
| ~ member(sk2,union(cons(a,cons(b,eptset)))) ),
inference(superposition,[status(thm)],[c_7504,c_292]) ).
tcf(c_7574,plain,
unionE_sk1(sk2,cons(a,cons(b,eptset))) = a,
inference(global_subsumption_just,[status(thm)],[c_7570,c_337,c_4610,c_7570]) ).
tcf(c_7579,plain,
( member(sk2,a)
| ~ member(sk2,union(cons(a,cons(b,eptset)))) ),
inference(superposition,[status(thm)],[c_7574,c_292]) ).
tcf(c_7583,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7579,c_4611,c_337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET787-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.19/0.45 % Computer : n006.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Thu Sep 24 11:57:27 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 0.23/0.53
% 0.23/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.53
% 0.23/0.53 % Detected problem language: tptp
% 0.23/0.55 % Proving...
% 121.74/35.90 % SZS status Started for theBenchmark.p
% 121.74/35.90 % SZS status Unsatisfiable for theBenchmark.p
% 121.74/35.90
% 121.74/35.90 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 121.74/35.90
% 121.74/35.90 % ------ iProver source info
% 121.74/35.90
% 121.74/35.90 % git: date: 2026-07-19 20:42:38 +0200
% 121.74/35.90 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 121.74/35.90 % git: non_committed_changes: false
% 121.74/35.90
% 121.74/35.90 % ------ Parsing...% successful
% 121.74/35.90
% 121.74/35.90
% 121.74/35.90 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 121.74/35.90
% 121.74/35.90 % ------ Preprocessing... sup_sim: 0 sf_s rm: 11 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 121.74/35.90
% 121.74/35.90 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 121.74/35.90
% 121.74/35.90 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 121.74/35.90 % ------ Proving...
% 121.74/35.90 % ------ Problem Properties
% 121.74/35.90
% 121.74/35.90 %
% 121.74/35.90 % clauses 115
% 121.74/35.90 % conjectures 2
% 121.74/35.90 % EPR 6
% 121.74/35.90 % Horn 94
% 121.74/35.90 % unary 19
% 121.74/35.90 % binary 64
% 121.74/35.90 % lits 243
% 121.74/35.90 % lits eq 48
% 121.74/35.90 % fd_pure 0
% 121.74/35.90 % fd_pseudo 0
% 121.74/35.90 % fd_cond 0
% 121.74/35.90 % fd_pseudo_cond 17
% 121.74/35.90 % AC symbols 0
% 121.74/35.90
% 121.74/35.90 % ------ Input Options Time Limit: Unbounded
% 121.74/35.90
% 121.74/35.90
% 121.74/35.90 % ------
% 121.74/35.90 % Current options:
% 121.74/35.90 % ------
% 121.74/35.90
% 121.74/35.90
% 121.74/35.90 %
% 121.74/35.90
% 121.74/35.90 % ------ Proving...
% 121.74/35.90 %
% 121.74/35.90
% 121.74/35.90 % SZS status Unsatisfiable for theBenchmark.p
% 121.74/35.90
% 121.74/35.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 121.74/35.90
% 121.74/35.90
%------------------------------------------------------------------------------