%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET787-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 3.54s 1.18s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 76 ( 30 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 39 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 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 : 51 ( 0 sgn 51 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( member(X0,unionE_sk1(X0,X1))
| ~ member(X0,union(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f2,axiom,
! [X0,X1] :
( member(unionE_sk1(X0,X1),X1)
| ~ member(X0,union(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f5,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| X0 = X1
| ~ member(X0,cons(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f6,axiom,
! [X2,X0,X1] :
( member(X0,un(X1,X2))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unI1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( member(X0,un(X2,X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unI2) ).
fof(f8,axiom,
! [X0] : ~ member(X0,eptset),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f14,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).
fof(f15,negated_conjecture,
~ member(sk2,un(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).
tcf(c_63,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
inference(cnf_transformation,[],[f14]) ).
tcf(c_64,negated_conjecture,
~ member(sk2,un(a,b)),
inference(cnf_transformation,[],[f15]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( member(unionE_sk1(X0,X1),X1)
| ~ member(X0,union(X1)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( member(X0,unionE_sk1(X0,X1))
| ~ member(X0,union(X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ( X0 = X1 )
| ~ member(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_68,plain,
! [X0: $i] : ~ member(X0,eptset),
inference(cnf_transformation,[],[f8]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,un(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,un(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_131,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X2)
| ~ member(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_141,plain,
a = a,
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_267,plain,
~ member(sk2,b),
inference(superposition,[status(thm)],[c_69,c_64]) ).
tcf(c_272,plain,
~ member(sk2,a),
inference(superposition,[status(thm)],[c_70,c_64]) ).
tcf(c_291,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_65,c_67]) ).
tcf(c_321,plain,
( member(sk2,unionE_sk1(sk2,cons(a,cons(b,eptset))))
| ~ member(sk2,union(cons(a,cons(b,eptset)))) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(unionE_sk1(X0,cons(X1,cons(X2,X3))),X3)
| ( unionE_sk1(X0,cons(X1,cons(X2,X3))) = X2 )
| ( unionE_sk1(X0,cons(X1,cons(X2,X3))) = X1 )
| ~ member(X0,union(cons(X1,cons(X2,X3)))) ),
inference(superposition,[status(thm)],[c_291,c_67]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ~ member(sk2,unionE_sk1(sk2,cons(a,cons(b,eptset))))
| ( X1 != unionE_sk1(sk2,cons(a,cons(b,eptset))) )
| ( X0 != sk2 ) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_488,plain,
sk2 = sk2,
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_917,plain,
! [X0: $i] :
( member(sk2,X0)
| ~ member(sk2,unionE_sk1(sk2,cons(a,cons(b,eptset))))
| ( sk2 != sk2 )
| ( X0 != unionE_sk1(sk2,cons(a,cons(b,eptset))) ) ),
inference(instantiation,[status(thm)],[c_430]) ).
tcf(c_918,plain,
( member(sk2,a)
| ~ member(sk2,unionE_sk1(sk2,cons(a,cons(b,eptset))))
| ( a != unionE_sk1(sk2,cons(a,cons(b,eptset))) )
| ( sk2 != sk2 ) ),
inference(instantiation,[status(thm)],[c_917]) ).
tcf(c_1078,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_340,c_68]) ).
tcf(c_1396,plain,
! [X0: $i,X1: $i] :
( ( X1 = unionE_sk1(sk2,cons(a,cons(b,eptset))) )
| ( X1 != X0 )
| ( unionE_sk1(sk2,cons(a,cons(b,eptset))) != X0 ) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_1397,plain,
( ( a = unionE_sk1(sk2,cons(a,cons(b,eptset))) )
| ( a != a )
| ( unionE_sk1(sk2,cons(a,cons(b,eptset))) != a ) ),
inference(instantiation,[status(thm)],[c_1396]) ).
tcf(c_1615,plain,
( ( unionE_sk1(sk2,cons(a,cons(b,eptset))) = b )
| ( unionE_sk1(sk2,cons(a,cons(b,eptset))) = a ) ),
inference(superposition,[status(thm)],[c_63,c_1078]) ).
tcf(c_1645,plain,
unionE_sk1(sk2,cons(a,cons(b,eptset))) = b,
inference(global_subsumption_just,[status(thm)],[c_1615,c_63,c_141,c_272,c_321,c_488,c_918,c_1397,c_1615]) ).
tcf(c_1647,plain,
( member(sk2,b)
| ~ member(sk2,union(cons(a,cons(b,eptset)))) ),
inference(superposition,[status(thm)],[c_1645,c_66]) ).
tcf(c_1651,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1647,c_267,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET787-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 11:57:43 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 3.54/1.18 % SZS status Started for theBenchmark.p
% 3.54/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.54/1.18
% 3.54/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.54/1.18
% 3.54/1.18 % ------ iProver source info
% 3.54/1.18
% 3.54/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.54/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.54/1.18 % git: non_committed_changes: false
% 3.54/1.18
% 3.54/1.18 % ------ Parsing...% successful
% 3.54/1.18
% 3.54/1.18
% 3.54/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.54/1.18
% 3.54/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.54/1.18
% 3.54/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.54/1.18
% 3.54/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.54/1.18 % ------ Proving...
% 3.54/1.18 % ------ Problem Properties
% 3.54/1.18
% 3.54/1.18 %
% 3.54/1.18 % clauses 8
% 3.54/1.18 % conjectures 2
% 3.54/1.18 % EPR 1
% 3.54/1.18 % Horn 7
% 3.54/1.18 % unary 3
% 3.54/1.18 % binary 4
% 3.54/1.18 % lits 14
% 3.54/1.18 % lits eq 1
% 3.54/1.18 % fd_pure 0
% 3.54/1.18 % fd_pseudo 0
% 3.54/1.18 % fd_cond 0
% 3.54/1.18 % fd_pseudo_cond 1
% 3.54/1.18 % AC symbols 0
% 3.54/1.18
% 3.54/1.18 % ------ Schedule dynamic 5 is on
% 3.54/1.18
% 3.54/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.54/1.18
% 3.54/1.18
% 3.54/1.18 % ------
% 3.54/1.18 % Current options:
% 3.54/1.18 % ------
% 3.54/1.18
% 3.54/1.18
% 3.54/1.18 %
% 3.54/1.18
% 3.54/1.18 % ------ Proving...
% 3.54/1.18 %
% 3.54/1.18
% 3.54/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.54/1.18
% 3.54/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.54/1.18
% 3.54/1.18
%------------------------------------------------------------------------------