%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP133-2.003 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 01:31:31 PM UTC 2026
% Result : Unsatisfiable 0.67s 1.10s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 104 ( 19 unt; 0 def)
% Number of atoms : 260 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 327 ( 171 ~; 156 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 99 ( 0 sgn 99 !; 0 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_then_e_2) ).
fof(f5,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_2) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_redundancy) ).
fof(f7,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f8,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f9,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f10,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f11,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f16,axiom,
! [X0,X1] :
( product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f19,axiom,
! [X2,X3,X0,X1] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( product(X2,X3,X0)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
tcf(c_69,plain,
next(e_1,e_2),
inference(cnf_transformation,[],[f1]) ).
tcf(c_73,plain,
greater(e_3,e_2),
inference(cnf_transformation,[],[f5]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ greater(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_75,plain,
group_element(e_1),
inference(cnf_transformation,[],[f7]) ).
tcf(c_76,plain,
group_element(e_2),
inference(cnf_transformation,[],[f8]) ).
tcf(c_77,plain,
group_element(e_3),
inference(cnf_transformation,[],[f9]) ).
tcf(c_78,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[],[f10]) ).
tcf(c_79,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[],[f11]) ).
tcf(c_81,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[],[f13]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( product(X1,X0,e_3)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_88,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X3,X2,X1)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_91,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_160,plain,
! [X0: $i] :
( ~ greater(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[c_69,c_74]) ).
tcf(c_180,plain,
~ product(e_1,e_1,e_3),
inference(resolution,[status(thm)],[c_73,c_160]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[c_78,c_85]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[status(thm)],[c_78,c_86]) ).
tcf(c_194,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_193]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i] :
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[status(thm)],[c_78,c_87]) ).
tcf(c_202,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_201]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[status(thm)],[c_79,c_86]) ).
tcf(c_217,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_216]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i] :
( ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[status(thm)],[c_79,c_87]) ).
tcf(c_225,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_224]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[c_81,c_86]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i] :
( ~ product(e_3,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[c_81,c_87]) ).
tcf(c_342,plain,
! [X0: $i] :
( product(e_1,e_1,e_3)
| ~ product(e_3,X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_343,plain,
( product(e_1,e_1,e_3)
| ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_342]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,e_2,X0)
| ~ product(X1,X0,e_2)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(e_2,X2,X1)
| ~ product(X1,X0,e_2)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,e_3,X0)
| ~ product(X1,X0,e_3)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(e_3,X2,X1)
| ~ product(X1,X0,e_3)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_350,plain,
! [X0: $i] :
( product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_352,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_350]) ).
tcf(c_353,plain,
! [X0: $i] :
( product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(e_2)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_354,plain,
! [X0: $i] :
( ~ product(e_2,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(instantiation,[status(thm)],[c_201]) ).
tcf(c_355,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_356,plain,
! [X0: $i] :
( product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_357,plain,
! [X0: $i] :
( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_242]) ).
tcf(c_359,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_356]) ).
tcf(c_360,plain,
! [X0: $i] :
( product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(e_3)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_361,plain,
! [X0: $i] :
( ~ product(e_3,X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(instantiation,[status(thm)],[c_250]) ).
tcf(c_363,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_360]) ).
tcf(c_364,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X2,X1,e_2)
| ~ product(e_2,X0,X2)
| ~ product(X0,e_2,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_370,plain,
! [X0: $i] :
( ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_193]) ).
tcf(c_373,plain,
! [X0: $i] :
( ~ product(e_3,X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(instantiation,[status(thm)],[c_224]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( product(e_2,e_2,X0)
| ~ product(X1,X0,e_2)
| ~ product(X0,X1,e_2) ),
inference(instantiation,[status(thm)],[c_344]) ).
tcf(c_383,plain,
( product(e_2,e_2,e_1)
| ~ product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i] :
( product(e_2,e_2,X1)
| ~ product(X1,X0,e_2)
| ~ product(X0,X1,e_2) ),
inference(instantiation,[status(thm)],[c_345]) ).
tcf(c_391,plain,
! [X0: $i] :
( ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_185]) ).
tcf(c_401,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_402,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_354]) ).
tcf(c_409,plain,
! [X0: $i] :
( ~ product(e_3,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(instantiation,[status(thm)],[c_250]) ).
tcf(c_410,plain,
! [X0: $i] :
( ~ product(e_2,X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(instantiation,[status(thm)],[c_201]) ).
tcf(c_411,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_410]) ).
tcf(c_413,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_416,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_216]) ).
tcf(c_419,plain,
! [X0: $i,X1: $i] :
( product(e_2,X1,e_2)
| ~ product(e_2,X0,e_2)
| ~ product(X0,e_2,X1) ),
inference(instantiation,[status(thm)],[c_364]) ).
tcf(c_433,plain,
( ~ product(e_3,e_3,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_373]) ).
tcf(c_497,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(instantiation,[status(thm)],[c_360]) ).
tcf(c_530,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_357]) ).
tcf(c_540,plain,
! [X0: $i] :
( product(X0,e_3,e_2)
| ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_1,X0) ),
inference(instantiation,[status(thm)],[c_346]) ).
tcf(c_541,plain,
( product(e_1,e_3,e_2)
| ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_540]) ).
tcf(c_543,plain,
( product(e_2,e_3,e_2)
| ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_419]) ).
tcf(c_597,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(superposition,[status(thm)],[c_84,c_180]) ).
tcf(c_599,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_597,c_75]) ).
tcf(c_697,plain,
( product(e_2,e_2,e_1)
| ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_710,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_391]) ).
tcf(c_712,plain,
( ~ product(e_3,e_2,e_2)
| ~ product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_409]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i] :
( product(e_3,X1,e_2)
| ~ product(e_2,X0,e_3)
| ~ product(X0,e_2,X1) ),
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_745,plain,
! [X0: $i] :
( ~ product(e_3,X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_250]) ).
tcf(c_747,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_745]) ).
tcf(c_758,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(superposition,[status(thm)],[c_599,c_216]) ).
tcf(c_759,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(superposition,[status(thm)],[c_599,c_193]) ).
tcf(c_792,plain,
! [X0: $i] :
( ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_242]) ).
tcf(c_794,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_792]) ).
tcf(c_822,plain,
( product(e_1,e_1,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(superposition,[status(thm)],[c_599,c_224]) ).
tcf(c_931,plain,
! [X0: $i] :
( product(e_2,e_2,X0)
| ~ product(e_2,X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_384]) ).
tcf(c_934,plain,
! [X0: $i] :
( product(e_2,e_2,e_2)
| ~ product(e_2,X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_935,plain,
( product(e_2,e_2,e_2)
| ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_934]) ).
tcf(c_936,plain,
( product(e_2,e_2,e_1)
| ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_931]) ).
tcf(c_946,plain,
product(e_1,e_1,e_1),
inference(global_subsumption_just,[status(thm)],[c_758,c_77,c_76,c_75,c_91,c_180,c_343,c_352,c_355,c_359,c_363,c_383,c_402,c_411,c_541,c_747,c_759,c_758,c_794,c_822]) ).
tcf(c_967,plain,
( ~ product(e_3,e_2,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_370]) ).
tcf(c_974,plain,
! [X0: $i] :
( product(e_3,e_2,e_2)
| ~ product(e_2,X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_739]) ).
tcf(c_975,plain,
( product(e_3,e_2,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_974]) ).
tcf(c_1040,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_410]) ).
tcf(c_1048,plain,
( product(e_3,e_3,e_2)
| ~ product(e_3,e_2,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_739]) ).
tcf(c_1057,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1048,c_1040,c_975,c_967,c_946,c_936,c_935,c_794,c_747,c_712,c_710,c_697,c_543,c_530,c_497,c_433,c_416,c_413,c_401,c_363,c_359,c_355,c_352,c_225,c_217,c_202,c_194,c_75,c_76,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP133-2.003 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 13:50:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running EPR theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 0.67/1.10 % SZS status Started for theBenchmark.p
% 0.67/1.10 % SZS status Unsatisfiable for theBenchmark.p
% 0.67/1.10
% 0.67/1.10 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.67/1.10
% 0.67/1.10 % ------ iProver source info
% 0.67/1.10
% 0.67/1.10 % git: date: 2026-07-19 20:42:38 +0200
% 0.67/1.10 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.67/1.10 % git: non_committed_changes: false
% 0.67/1.10
% 0.67/1.10 % ------ Parsing...% successful
% 0.67/1.10
% 0.67/1.10
% 0.67/1.10 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.67/1.10 %
% 0.67/1.10
% 0.67/1.10 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.67/1.10
% 0.67/1.10 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.67/1.10 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.67/1.10 % ------ Proving...
% 0.67/1.10 % ------ Problem Properties
% 0.67/1.10
% 0.67/1.10 %
% 0.67/1.10 % clauses 15
% 0.67/1.10 % conjectures 1
% 0.67/1.10 % EPR 15
% 0.67/1.10 % Horn 14
% 0.67/1.10 % unary 4
% 0.67/1.10 % binary 9
% 0.67/1.10 % lits 30
% 0.67/1.10 % lits eq 0
% 0.67/1.10 % fd_pure 0
% 0.67/1.10 % fd_pseudo 0
% 0.67/1.10 % fd_cond 0
% 0.67/1.10 % fd_pseudo_cond 0
% 0.67/1.10 % AC symbols 0
% 0.67/1.10
% 0.67/1.10 % ------ Schedule EPR non Horn non eq is on
% 0.67/1.10
% 0.67/1.10 % ------ no equalities: superposition off
% 0.67/1.10
% 0.67/1.10 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.67/1.10
% 0.67/1.10
% 0.67/1.10 % ------
% 0.67/1.10 % Current options:
% 0.67/1.10 % ------
% 0.67/1.10
% 0.67/1.10
% 0.67/1.10 %
% 0.67/1.10
% 0.67/1.10 % ------ Proving...
% 0.67/1.10 %
% 0.67/1.10
% 0.67/1.10 % SZS status Unsatisfiable for theBenchmark.p
% 0.67/1.10
% 0.67/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.67/1.10
% 0.67/1.10
%------------------------------------------------------------------------------