%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU304+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 02:56:34 PM UTC 2026
% Result : Theorem 1.09s 1.76s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 76 ( 22 unt; 0 def)
% Number of atoms : 302 ( 41 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 371 ( 145 ~; 154 |; 50 &)
% ( 6 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 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 : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 118 ( 0 sgn 108 !; 10 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& meet_semilatt_str(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
fof(f58,axiom,
! [X0] :
( ( join_semilatt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).
fof(f87,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ( meet_absorbing(X0)
<=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> join(X0,meet(X0,X1,X2),X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattices) ).
fof(f122,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& meet_semilatt_str(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> element(meet_commut(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattices) ).
fof(f141,axiom,
! [X0] :
( latt_str(X0)
=> ( join_semilatt_str(X0)
& meet_semilatt_str(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f245,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& meet_semilatt_str(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> meet_commut(X0,X1,X2) = meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
fof(f339,conjecture,
! [X0] :
( ( latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_lattices) ).
fof(f340,negated_conjecture,
~ ! [X0] :
( ( latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f339]) ).
fof(f503,plain,
! [X0,X1,X2] :
( ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0)
| meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f504,plain,
! [X0,X1,X2] :
( ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0)
| meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1) ),
inference(flattening,[],[f503]) ).
fof(f540,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f541,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
inference(flattening,[],[f540]) ).
fof(f567,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ( meet_absorbing(X0)
<=> ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| join(X0,meet(X0,X1,X2),X2) = X2 ) ) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f568,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ( meet_absorbing(X0)
<=> ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| join(X0,meet(X0,X1,X2),X2) = X2 ) ) ) ),
inference(flattening,[],[f567]) ).
fof(f588,plain,
! [X0,X1,X2] :
( ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0)
| element(meet_commut(X0,X1,X2),the_carrier(X0)) ),
inference(ennf_transformation,[],[f122]) ).
fof(f589,plain,
! [X0,X1,X2] :
( ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0)
| element(meet_commut(X0,X1,X2),the_carrier(X0)) ),
inference(flattening,[],[f588]) ).
fof(f604,plain,
! [X0] :
( ~ latt_str(X0)
| ( join_semilatt_str(X0)
& meet_semilatt_str(X0) ) ),
inference(ennf_transformation,[],[f141]) ).
fof(f680,plain,
! [X0,X1,X2] :
( ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0)
| meet_commut(X0,X1,X2) = meet(X0,X1,X2) ),
inference(ennf_transformation,[],[f245]) ).
fof(f681,plain,
! [X0,X1,X2] :
( ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0)
| meet_commut(X0,X1,X2) = meet(X0,X1,X2) ),
inference(flattening,[],[f680]) ).
fof(f812,plain,
? [X0] :
( latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( element(X2,the_carrier(X0))
& ~ below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
inference(ennf_transformation,[],[f340]) ).
fof(f813,plain,
? [X0] :
( latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( element(X2,the_carrier(X0))
& ~ below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
inference(flattening,[],[f812]) ).
fof(f1095,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( ( ~ below(X0,X1,X2)
| join(X0,X1,X2) = X2 )
& ( join(X0,X1,X2) != X2
| below(X0,X1,X2) ) ) ) ) ),
inference(nnf_transformation,[],[f541]) ).
fof(f1162,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ( ( ~ meet_absorbing(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| join(X0,meet(X0,X1,X2),X2) = X2 ) ) )
& ( ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( element(X2,the_carrier(X0))
& join(X0,meet(X0,X1,X2),X2) != X2 ) )
| meet_absorbing(X0) ) ) ),
inference(nnf_transformation,[],[f568]) ).
fof(f1163,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ( ( ~ meet_absorbing(X0)
| ! [X3] :
( ~ element(X3,the_carrier(X0))
| ! [X4] :
( ~ element(X4,the_carrier(X0))
| join(X0,meet(X0,X3,X4),X4) = X4 ) ) )
& ( ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( element(X2,the_carrier(X0))
& join(X0,meet(X0,X1,X2),X2) != X2 ) )
| meet_absorbing(X0) ) ) ),
inference(rectify,[],[f1162]) ).
fof(f1164,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ( ( ~ meet_absorbing(X0)
| ! [X3] :
( ~ element(X3,the_carrier(X0))
| ! [X4] :
( ~ element(X4,the_carrier(X0))
| join(X0,meet(X0,X3,X4),X4) = X4 ) ) )
& ( ( element(sK120(X0),the_carrier(X0))
& element(sK121(X0),the_carrier(X0))
& sK121(X0) != join(X0,meet(X0,sK120(X0),sK121(X0)),sK121(X0)) )
| meet_absorbing(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK120,sK121]),skolemize(X1,sK120(X0)),skolemize(X2,sK121(X0))],[f1163]) ).
fof(f1417,plain,
( latt_str(sK334)
& meet_absorbing(sK334)
& meet_commutative(sK334)
& ~ empty_carrier(sK334)
& element(sK335,the_carrier(sK334))
& element(sK336,the_carrier(sK334))
& ~ below(sK334,meet_commut(sK334,sK335,sK336),sK335) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK334,sK335,sK336]),skolemize(X0,sK334),skolemize(X1,sK335),skolemize(X2,sK336)],[f813]) ).
fof(f1506,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0)
| meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1) ),
inference(cnf_transformation,[],[f504]) ).
fof(f1669,plain,
! [X2,X0,X1] :
( ~ join_semilatt_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| join(X0,X1,X2) != X2
| below(X0,X1,X2) ),
inference(cnf_transformation,[],[f1095]) ).
fof(f1796,plain,
! [X3,X0,X4] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ~ meet_absorbing(X0)
| ~ element(X3,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| join(X0,meet(X0,X3,X4),X4) = X4 ),
inference(cnf_transformation,[],[f1164]) ).
fof(f1831,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0)
| element(meet_commut(X0,X1,X2),the_carrier(X0)) ),
inference(cnf_transformation,[],[f589]) ).
fof(f1845,plain,
! [X0] :
( ~ latt_str(X0)
| join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f604]) ).
fof(f1846,plain,
! [X0] :
( ~ latt_str(X0)
| meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f604]) ).
fof(f2063,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0)
| meet_commut(X0,X1,X2) = meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f681]) ).
fof(f2470,plain,
latt_str(sK334),
inference(cnf_transformation,[],[f1417]) ).
fof(f2471,plain,
meet_absorbing(sK334),
inference(cnf_transformation,[],[f1417]) ).
fof(f2472,plain,
meet_commutative(sK334),
inference(cnf_transformation,[],[f1417]) ).
fof(f2473,plain,
~ empty_carrier(sK334),
inference(cnf_transformation,[],[f1417]) ).
fof(f2474,plain,
element(sK335,the_carrier(sK334)),
inference(cnf_transformation,[],[f1417]) ).
fof(f2475,plain,
element(sK336,the_carrier(sK334)),
inference(cnf_transformation,[],[f1417]) ).
fof(f2476,plain,
~ below(sK334,meet_commut(sK334,sK335,sK336),sK335),
inference(cnf_transformation,[],[f1417]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X1)
| ( meet_commut(X1,X0,X2) = meet_commut(X1,X2,X0) )
| ~ meet_semilatt_str(X1)
| ~ meet_commutative(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X0,the_carrier(X1)) ),
inference(cnf_transformation,[],[f1506]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X0)
| below(X0,X1,X2)
| ~ join_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ( join(X0,X1,X2) != X2 ) ),
inference(cnf_transformation,[],[f1669]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X1)
| ( join(X1,meet(X1,X2,X0),X0) = X0 )
| ~ latt_str(X1)
| ~ meet_absorbing(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X0,the_carrier(X1)) ),
inference(cnf_transformation,[],[f1796]) ).
tcf(c_402,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X1)
| element(meet_commut(X1,X0,X2),the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ meet_commutative(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X0,the_carrier(X1)) ),
inference(cnf_transformation,[],[f1831]) ).
tcf(c_416,plain,
! [X0: $i] :
( meet_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1846]) ).
tcf(c_417,plain,
! [X0: $i] :
( join_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1845]) ).
tcf(c_634,plain,
! [X0: $i,X1: $i,X2: $i] :
( empty_carrier(X1)
| ( meet_commut(X1,X0,X2) = meet(X1,X0,X2) )
| ~ meet_semilatt_str(X1)
| ~ meet_commutative(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X0,the_carrier(X1)) ),
inference(cnf_transformation,[],[f2063]) ).
tcf(c_1041,negated_conjecture,
~ below(sK334,meet_commut(sK334,sK335,sK336),sK335),
inference(cnf_transformation,[],[f2476]) ).
tcf(c_1042,negated_conjecture,
element(sK336,the_carrier(sK334)),
inference(cnf_transformation,[],[f2475]) ).
tcf(c_1043,negated_conjecture,
element(sK335,the_carrier(sK334)),
inference(cnf_transformation,[],[f2474]) ).
tcf(c_1044,negated_conjecture,
~ empty_carrier(sK334),
inference(cnf_transformation,[],[f2473]) ).
tcf(c_1045,negated_conjecture,
meet_commutative(sK334),
inference(cnf_transformation,[],[f2472]) ).
tcf(c_1046,negated_conjecture,
meet_absorbing(sK334),
inference(cnf_transformation,[],[f2471]) ).
tcf(c_1047,negated_conjecture,
latt_str(sK334),
inference(cnf_transformation,[],[f2470]) ).
tcf(c_1372,plain,
join_semilatt_str(sK334),
inference(superposition,[status(thm)],[c_1047,c_417]) ).
tcf(c_1378,plain,
meet_semilatt_str(sK334),
inference(superposition,[status(thm)],[c_1047,c_416]) ).
tcf(c_1445,plain,
! [X0: $i] :
( empty_carrier(sK334)
| ( meet_commut(sK334,sK336,X0) = meet(sK334,sK336,X0) )
| ~ meet_semilatt_str(sK334)
| ~ meet_commutative(sK334)
| ~ element(X0,the_carrier(sK334)) ),
inference(superposition,[status(thm)],[c_1042,c_634]) ).
tcf(c_1466,plain,
! [X0: $i] :
( empty_carrier(sK334)
| ( join(sK334,meet(sK334,X0,sK335),sK335) = sK335 )
| ~ latt_str(sK334)
| ~ meet_absorbing(sK334)
| ~ element(X0,the_carrier(sK334)) ),
inference(superposition,[status(thm)],[c_1043,c_370]) ).
tcf(c_1486,plain,
! [X0: $i] :
( empty_carrier(sK334)
| ( meet_commut(sK334,X0,sK335) = meet_commut(sK334,sK335,X0) )
| ~ meet_semilatt_str(sK334)
| ~ meet_commutative(sK334)
| ~ element(X0,the_carrier(sK334)) ),
inference(superposition,[status(thm)],[c_1043,c_79]) ).
tcf(c_1539,plain,
! [X0: $i] :
( ~ element(X0,the_carrier(sK334))
| ( meet_commut(sK334,sK336,X0) = meet(sK334,sK336,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_1445,c_1045,c_1044,c_1378,c_1445]) ).
tcf(c_1540,plain,
! [X0: $i] :
( ( meet_commut(sK334,sK336,X0) = meet(sK334,sK336,X0) )
| ~ element(X0,the_carrier(sK334)) ),
inference(renaming,[status(thm)],[c_1539]) ).
tcf(c_1549,plain,
meet_commut(sK334,sK336,sK335) = meet(sK334,sK336,sK335),
inference(superposition,[status(thm)],[c_1043,c_1540]) ).
tcf(c_1655,plain,
! [X0: $i] :
( ~ element(X0,the_carrier(sK334))
| ( join(sK334,meet(sK334,X0,sK335),sK335) = sK335 ) ),
inference(global_subsumption_just,[status(thm)],[c_1466,c_1047,c_1046,c_1044,c_1466]) ).
tcf(c_1656,plain,
! [X0: $i] :
( ( join(sK334,meet(sK334,X0,sK335),sK335) = sK335 )
| ~ element(X0,the_carrier(sK334)) ),
inference(renaming,[status(thm)],[c_1655]) ).
tcf(c_1664,plain,
join(sK334,meet(sK334,sK336,sK335),sK335) = sK335,
inference(superposition,[status(thm)],[c_1042,c_1656]) ).
tcf(c_1769,plain,
! [X0: $i] :
( ~ element(X0,the_carrier(sK334))
| ( meet_commut(sK334,X0,sK335) = meet_commut(sK334,sK335,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_1486,c_1045,c_1044,c_1378,c_1486]) ).
tcf(c_1770,plain,
! [X0: $i] :
( ( meet_commut(sK334,X0,sK335) = meet_commut(sK334,sK335,X0) )
| ~ element(X0,the_carrier(sK334)) ),
inference(renaming,[status(thm)],[c_1769]) ).
tcf(c_1778,plain,
meet_commut(sK334,sK335,sK336) = meet_commut(sK334,sK336,sK335),
inference(superposition,[status(thm)],[c_1042,c_1770]) ).
tcf(c_2076,plain,
join(sK334,meet_commut(sK334,sK336,sK335),sK335) = sK335,
inference(light_normalisation,[status(thm)],[c_1664,c_1549]) ).
tcf(c_2077,plain,
( empty_carrier(sK334)
| below(sK334,meet_commut(sK334,sK336,sK335),sK335)
| ~ join_semilatt_str(sK334)
| ~ element(sK335,the_carrier(sK334))
| ~ element(meet_commut(sK334,sK336,sK335),the_carrier(sK334)) ),
inference(superposition,[status(thm)],[c_2076,c_240]) ).
tcf(c_3164,plain,
( ~ element(meet_commut(sK334,sK336,sK335),the_carrier(sK334))
| below(sK334,meet_commut(sK334,sK336,sK335),sK335) ),
inference(global_subsumption_just,[status(thm)],[c_2077,c_1044,c_1043,c_1372,c_2077]) ).
tcf(c_3165,plain,
( below(sK334,meet_commut(sK334,sK336,sK335),sK335)
| ~ element(meet_commut(sK334,sK336,sK335),the_carrier(sK334)) ),
inference(renaming,[status(thm)],[c_3164]) ).
tcf(c_3168,plain,
( below(sK334,meet_commut(sK334,sK335,sK336),sK335)
| ~ element(meet_commut(sK334,sK335,sK336),the_carrier(sK334)) ),
inference(light_normalisation,[status(thm)],[c_3165,c_1778]) ).
tcf(c_3171,plain,
~ element(meet_commut(sK334,sK335,sK336),the_carrier(sK334)),
inference(forward_subsumption_resolution,[status(thm)],[c_3168,c_1041]) ).
tcf(c_3172,plain,
( empty_carrier(sK334)
| ~ meet_semilatt_str(sK334)
| ~ meet_commutative(sK334)
| ~ element(sK336,the_carrier(sK334))
| ~ element(sK335,the_carrier(sK334)) ),
inference(superposition,[status(thm)],[c_402,c_3171]) ).
tcf(c_3173,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3172,c_1378,c_1042,c_1043,c_1044,c_1045]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU304+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 13:37:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.09/1.76 % SZS status Started for theBenchmark.p
% 1.09/1.76 % SZS status Theorem for theBenchmark.p
% 1.09/1.76
% 1.09/1.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.09/1.76
% 1.09/1.76 % ------ iProver source info
% 1.09/1.76
% 1.09/1.76 % git: date: 2026-07-19 20:42:38 +0200
% 1.09/1.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.09/1.76 % git: non_committed_changes: false
% 1.09/1.76
% 1.09/1.76 % ------ Parsing...
% 1.09/1.76 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.09/1.76 % ------ Proving...
% 1.09/1.76 % ------ Problem Properties
% 1.09/1.76
% 1.09/1.76 %
% 1.09/1.76 % clauses 1192
% 1.09/1.76 % conjectures 7
% 1.09/1.76 % EPR 206
% 1.09/1.76 % Horn 900
% 1.09/1.76 % unary 174
% 1.09/1.76 % binary 358
% 1.09/1.76 % lits 3569
% 1.09/1.76 % lits eq 496
% 1.09/1.76 % fd_pure 0
% 1.09/1.76 % fd_pseudo 0
% 1.09/1.76 % fd_cond 45
% 1.09/1.76 % fd_pseudo_cond 117
% 1.09/1.76 % AC symbols 0
% 1.09/1.76
% 1.09/1.76 % ------ Input Options Time Limit: Unbounded
% 1.09/1.76
% 1.09/1.76
% 1.09/1.76 % ------
% 1.09/1.76 % Current options:
% 1.09/1.76 % ------
% 1.09/1.76
% 1.09/1.76
% 1.09/1.76 %
% 1.09/1.76
% 1.09/1.76 % ------ Proving...
% 1.09/1.76 %
% 1.09/1.76
% 1.09/1.76 % SZS status Theorem for theBenchmark.p
% 1.09/1.76
% 1.09/1.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.09/1.76
% 1.09/1.76
%------------------------------------------------------------------------------