%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP128-4.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 01:31:26 PM UTC 2026
% Result : Unsatisfiable 0.67s 1.12s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 97 ( 13 unt; 0 def)
% Number of atoms : 294 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 368 ( 171 ~; 197 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 134 ( 0 sgn 134 !; 0 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( product(e_3,X0,X1)
| product(e_2,X0,X1)
| product(e_1,X0,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',row_surjectivity) ).
fof(f2,axiom,
! [X0,X1] :
( product(X0,e_3,X1)
| product(X0,e_2,X1)
| product(X0,e_1,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',column_surjectivity) ).
fof(f3,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,X3)
| ~ product(X0,X2,X3)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3_1) ).
fof(f4,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| ~ product(X3,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3_2) ).
fof(f5,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f6,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f7,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f8,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f9,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f14,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(f15,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(f16,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(f17,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(f18,negated_conjecture,
! [X2,X3,X0,X1] :
( product(X0,X2,X3)
| ~ product(X2,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
tcf(c_67,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,X3,X1)
| ~ product(X1,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_68,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X1,X3,X2)
| ~ product(X0,X3,X1)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_69,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,X2,X3)
| ~ product(X2,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( product(X0,e_3,X1)
| product(X0,e_2,X1)
| product(X0,e_1,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( product(e_3,X0,X1)
| product(e_2,X0,X1)
| product(e_1,X0,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_78,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[],[f11]) ).
tcf(c_80,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[],[f9]) ).
tcf(c_81,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[],[f8]) ).
tcf(c_82,plain,
group_element(e_1),
inference(cnf_transformation,[],[f5]) ).
tcf(c_83,plain,
group_element(e_3),
inference(cnf_transformation,[],[f7]) ).
tcf(c_84,plain,
group_element(e_2),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[c_81,c_72]) ).
tcf(c_174,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_173]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[status(thm)],[c_81,c_71]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i] :
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[status(thm)],[c_81,c_70]) ).
tcf(c_190,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_189]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[c_80,c_72]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[status(thm)],[c_80,c_71]) ).
tcf(c_206,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_205]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i] :
( ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[status(thm)],[c_80,c_70]) ).
tcf(c_214,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_213]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[c_78,c_71]) ).
tcf(c_279,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,e_2,X1)
| ~ product(X1,e_2,X2)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,X2,e_3)
| ~ product(X2,X1,e_3)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,X2,e_3)
| ~ product(e_3,X2,X1)
| ~ product(X0,e_3,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,e_3,X2)
| ~ product(e_3,X1,X2)
| ~ product(X0,X1,e_3) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,e_3,X1)
| ~ product(X1,e_3,X2)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(e_3,X1,X2)
| ~ product(X0,e_3,X2)
| ~ product(X0,X1,e_3) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_305,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_73]) ).
tcf(c_307,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_305]) ).
tcf(c_308,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_73]) ).
tcf(c_312,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_73]) ).
tcf(c_314,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_312]) ).
tcf(c_342,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X0,X2,X1)
| ~ product(X1,X2,e_3)
| ~ product(X0,X1,e_3) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_361,plain,
! [X0: $i] :
( ~ product(e_3,e_3,X0)
| ~ product(e_3,e_2,X0) ),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_362,plain,
! [X0: $i] :
( ~ product(e_3,e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_364,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_362]) ).
tcf(c_365,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_400,plain,
! [X0: $i,X1: $i] :
( product(X0,e_2,e_3)
| ~ product(e_3,e_2,X1)
| ~ product(X0,e_3,X1) ),
inference(instantiation,[status(thm)],[c_286]) ).
tcf(c_401,plain,
! [X0: $i] :
( ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_402,plain,
! [X0: $i] :
( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_403,plain,
( product(e_1,e_2,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_400]) ).
tcf(c_404,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_653,plain,
! [X0: $i,X1: $i] :
( product(X0,e_3,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(X0,e_3,X1) ),
inference(instantiation,[status(thm)],[c_291]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i] :
( product(X0,X1,e_3)
| ~ product(X1,e_2,e_3)
| ~ product(X0,e_2,X1) ),
inference(instantiation,[status(thm)],[c_284]) ).
tcf(c_703,plain,
! [X0: $i,X1: $i] :
( product(X0,e_3,X1)
| ~ product(e_3,e_2,X1)
| ~ product(X0,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_288]) ).
tcf(c_705,plain,
( product(e_1,e_3,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_703]) ).
tcf(c_744,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(e_3,X1,X2)
| product(X0,e_2,X2)
| product(X0,e_1,X2)
| ~ group_element(X2)
| ~ group_element(X0)
| ~ product(X0,X1,e_3) ),
inference(superposition,[status(thm)],[c_74,c_68]) ).
tcf(c_746,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,e_2,X2)
| product(X1,e_1,X2)
| product(X0,X1,X2)
| ~ group_element(X2)
| ~ group_element(X1)
| ~ product(X0,e_3,X1) ),
inference(superposition,[status(thm)],[c_74,c_69]) ).
tcf(c_833,plain,
! [X0: $i] :
( ~ product(e_3,e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(instantiation,[status(thm)],[c_213]) ).
tcf(c_834,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_833]) ).
tcf(c_836,plain,
! [X0: $i] :
( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_197]) ).
tcf(c_837,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_836]) ).
tcf(c_988,plain,
! [X0: $i,X1: $i] :
( product(e_2,e_2,X0)
| ~ product(e_2,X0,X1)
| ~ product(X0,e_2,X1) ),
inference(instantiation,[status(thm)],[c_279]) ).
tcf(c_1074,plain,
! [X0: $i] :
( product(e_3,e_3,X0)
| product(e_2,e_3,X0)
| product(e_1,e_3,X0)
| ~ group_element(e_3)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_1075,plain,
! [X0: $i,X1: $i] :
( product(e_3,X0,X1)
| ~ product(e_2,e_3,X1)
| ~ product(e_2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_293]) ).
tcf(c_1076,plain,
( product(e_3,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_1074]) ).
tcf(c_1077,plain,
( product(e_3,e_1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_1075]) ).
tcf(c_1082,plain,
! [X0: $i] :
( product(e_3,X0,e_3)
| product(e_2,X0,e_3)
| product(e_1,X0,e_3)
| ~ group_element(e_3)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_1083,plain,
! [X0: $i,X1: $i] :
( product(X0,X1,e_2)
| ~ product(e_2,X1,e_3)
| ~ product(X0,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_342]) ).
tcf(c_1085,plain,
( product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_1083]) ).
tcf(c_1190,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ group_element(e_3) ),
inference(instantiation,[status(thm)],[c_308]) ).
tcf(c_1761,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_308]) ).
tcf(c_2033,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_653]) ).
tcf(c_2060,plain,
! [X0: $i] :
( product(e_3,e_3,e_3)
| ~ product(e_3,e_3,X0) ),
inference(instantiation,[status(thm)],[c_653]) ).
tcf(c_2064,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_2060]) ).
tcf(c_2093,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_401]) ).
tcf(c_2429,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(instantiation,[status(thm)],[c_1082]) ).
tcf(c_2922,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_988]) ).
tcf(c_3026,plain,
! [X0: $i,X1: $i] :
( product(e_3,e_2,X1)
| product(e_3,e_1,X1)
| product(e_2,X0,e_3)
| product(e_1,X0,e_3)
| product(e_3,X0,X1)
| ~ group_element(e_3)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(superposition,[status(thm)],[c_75,c_744]) ).
tcf(c_3045,plain,
! [X0: $i,X1: $i] :
( product(e_3,e_2,X1)
| product(e_3,e_1,X1)
| product(e_2,X0,e_3)
| product(e_1,X0,e_3)
| product(e_3,X0,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3026,c_83]) ).
tcf(c_3053,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_3)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_3045]) ).
tcf(c_3283,plain,
( ~ product(e_2,e_2,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_836]) ).
tcf(c_3299,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,e_2,X2)
| product(X1,e_1,X2)
| product(X0,e_2,X1)
| product(X0,e_1,X1)
| product(X0,X1,X2)
| ~ group_element(X2)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(superposition,[status(thm)],[c_74,c_746]) ).
tcf(c_3327,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_3299]) ).
tcf(c_4316,plain,
( product(e_3,e_2,e_3)
| ~ product(e_3,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_689]) ).
tcf(c_4369,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4316,c_3327,c_3283,c_3053,c_2922,c_2429,c_2093,c_2064,c_2033,c_1761,c_1190,c_1085,c_1077,c_1076,c_837,c_834,c_705,c_404,c_403,c_365,c_364,c_314,c_307,c_214,c_206,c_190,c_174,c_87,c_82,c_83,c_84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP128-4.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 13:46:04 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running EPR theorem proving
% 0.12/0.40 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 0.67/1.12 % SZS status Started for theBenchmark.p
% 0.67/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.67/1.12
% 0.67/1.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.67/1.12
% 0.67/1.12 % ------ iProver source info
% 0.67/1.12
% 0.67/1.12 % git: date: 2026-07-19 20:42:38 +0200
% 0.67/1.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.67/1.12 % git: non_committed_changes: false
% 0.67/1.12
% 0.67/1.12 % ------ Parsing...% successful
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.67/1.12 %
% 0.67/1.12
% 0.67/1.12 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e %
% 0.67/1.12
% 0.67/1.12 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.67/1.12 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.67/1.12 % ------ Proving...
% 0.67/1.12 % ------ Problem Properties
% 0.67/1.12
% 0.67/1.12 %
% 0.67/1.12 % clauses 18
% 0.67/1.12 % conjectures 3
% 0.67/1.12 % EPR 18
% 0.67/1.12 % Horn 15
% 0.67/1.12 % unary 3
% 0.67/1.12 % binary 9
% 0.67/1.12 % lits 45
% 0.67/1.12 % lits eq 0
% 0.67/1.12 % fd_pure 0
% 0.67/1.12 % fd_pseudo 0
% 0.67/1.12 % fd_cond 0
% 0.67/1.12 % fd_pseudo_cond 0
% 0.67/1.12 % AC symbols 0
% 0.67/1.12
% 0.67/1.12 % ------ Schedule EPR non Horn non eq is on
% 0.67/1.12
% 0.67/1.12 % ------ no equalities: superposition off
% 0.67/1.12
% 0.67/1.12 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12 % ------
% 0.67/1.12 % Current options:
% 0.67/1.12 % ------
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12 %
% 0.67/1.12
% 0.67/1.12 % ------ Proving...
% 0.67/1.12 %
% 0.67/1.12
% 0.67/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.67/1.12
% 0.67/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.67/1.12
% 0.67/1.12
%------------------------------------------------------------------------------