%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP124-6.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.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 01:31:10 PM UTC 2026
% Result : Unsatisfiable 2.90s 1.21s
% Output : CNFRefutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of formulae : 99 ( 38 unt; 0 def)
% Number of atoms : 245 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 278 ( 132 ~; 146 |; 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 : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 89 ( 0 sgn 89 !; 0 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
fof(f5,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f6,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f7,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f8,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f9,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f11,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f13,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f14,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
fof(f15,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
fof(f16,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
fof(f17,axiom,
! [X0,X1] :
( product1(X0,X1,e_4)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_total_function1) ).
fof(f19,axiom,
! [X2,X3,X0,X1] :
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_right_cancellation) ).
fof(f20,axiom,
! [X2,X3,X0,X1] :
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_left_cancellation) ).
fof(f21,axiom,
! [X0] : product1(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_idempotence) ).
fof(f23,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_total_function2) ).
fof(f26,axiom,
! [X0] : product2(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_idempotence) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1] :
( product2(X3,X1,X0)
| ~ product1(X2,X0,X3)
| ~ product1(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2a) ).
tcf(c_76,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product2(X3,X1,X0)
| ~ product1(X2,X0,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_77,plain,
! [X0: $i] : product1(X0,X0,X0),
inference(cnf_transformation,[],[f21]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( product1(X0,X1,e_4)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_82,plain,
! [X0: $i] : product2(X0,X0,X0),
inference(cnf_transformation,[],[f26]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_87,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[],[f14]) ).
tcf(c_88,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[],[f11]) ).
tcf(c_89,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[],[f8]) ).
tcf(c_90,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[],[f7]) ).
tcf(c_91,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[],[f6]) ).
tcf(c_92,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[],[f5]) ).
tcf(c_93,plain,
group_element(e_1),
inference(cnf_transformation,[],[f1]) ).
tcf(c_94,plain,
group_element(e_4),
inference(cnf_transformation,[],[f4]) ).
tcf(c_95,plain,
group_element(e_3),
inference(cnf_transformation,[],[f3]) ).
tcf(c_96,plain,
group_element(e_2),
inference(cnf_transformation,[],[f2]) ).
tcf(c_97,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[],[f15]) ).
tcf(c_100,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[],[f9]) ).
tcf(c_101,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[],[f16]) ).
tcf(c_102,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[],[f13]) ).
tcf(c_103,plain,
product2(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_104,plain,
product1(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i] :
( ~ product1(e_2,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[c_92,c_78]) ).
tcf(c_250,plain,
( ~ product1(e_2,e_1,e_1)
| ~ product1(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_249]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] :
( ~ product2(X0,X1,e_3)
| ~ product2(X0,X1,e_1) ),
inference(resolution,[status(thm)],[c_91,c_85]) ).
tcf(c_258,plain,
( ~ product2(e_1,e_1,e_3)
| ~ product2(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_257]) ).
tcf(c_297,plain,
! [X0: $i,X1: $i] :
( ~ product1(e_3,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[c_91,c_78]) ).
tcf(c_298,plain,
( ~ product1(e_3,e_1,e_1)
| ~ product1(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_297]) ).
tcf(c_305,plain,
! [X0: $i,X1: $i] :
( ~ product2(X0,X1,e_4)
| ~ product2(X0,X1,e_1) ),
inference(resolution,[status(thm)],[c_90,c_85]) ).
tcf(c_306,plain,
( ~ product2(e_1,e_1,e_4)
| ~ product2(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_305]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i] :
( ~ product1(e_4,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[c_90,c_78]) ).
tcf(c_346,plain,
( ~ product1(e_4,e_1,e_1)
| ~ product1(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_345]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i] :
( equalish(e_4,e_1)
| ~ product1(X0,e_4,X1)
| ~ product1(X0,e_1,X1) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_614,plain,
! [X0: $i,X1: $i] :
( equalish(e_3,e_1)
| ~ product1(X0,e_3,X1)
| ~ product1(X0,e_1,X1) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_620,plain,
! [X0: $i,X1: $i] :
( equalish(e_2,e_1)
| ~ product1(X0,e_2,X1)
| ~ product1(X0,e_1,X1) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_626,plain,
! [X0: $i,X1: $i] :
( equalish(e_1,e_4)
| ~ product1(X0,e_4,X1)
| ~ product1(X0,e_1,X1) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i] :
( equalish(e_4,e_2)
| ~ product1(e_4,X0,X1)
| ~ product1(e_2,X0,X1) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i] :
( equalish(e_2,e_3)
| ~ product1(e_3,X0,X1)
| ~ product1(e_2,X0,X1) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i] :
( equalish(e_4,e_3)
| ~ product1(e_4,X0,X1)
| ~ product1(e_3,X0,X1) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i,X2: $i] :
( product2(X1,X2,e_4)
| ~ product1(e_4,X2,X0)
| ~ product1(X0,e_4,X1) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_682,plain,
product1(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_702,plain,
! [X0: $i] :
( product1(e_4,X0,e_4)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(e_4)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_703,plain,
( product1(e_4,e_1,e_4)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_702]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i,X2: $i] :
( product2(X1,X2,e_3)
| ~ product1(e_3,X2,X0)
| ~ product1(X0,e_3,X1) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_711,plain,
product1(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_731,plain,
! [X0: $i] :
( product1(e_3,X0,e_4)
| product1(e_3,X0,e_3)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_1)
| ~ group_element(e_3)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_732,plain,
( product1(e_3,e_1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_731]) ).
tcf(c_740,plain,
product1(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_834,plain,
! [X0: $i] :
( product1(e_2,X0,e_4)
| product1(e_2,X0,e_3)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_1)
| ~ group_element(e_2)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_835,plain,
( product1(e_2,e_1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_834]) ).
tcf(c_1259,plain,
! [X0: $i,X1: $i] :
( equalish(X1,X0)
| ~ product1(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_77,c_78]) ).
tcf(c_1297,plain,
( equalish(e_4,e_1)
| ~ product1(e_4,e_4,e_4)
| ~ product1(e_4,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_608]) ).
tcf(c_1316,plain,
! [X0: $i,X1: $i] :
( equalish(X0,X1)
| ~ product1(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_77,c_79]) ).
tcf(c_1493,plain,
( equalish(e_3,e_1)
| ~ product1(e_3,e_3,e_3)
| ~ product1(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_614]) ).
tcf(c_1515,plain,
( equalish(e_2,e_1)
| ~ product1(e_2,e_2,e_2)
| ~ product1(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_620]) ).
tcf(c_1527,plain,
! [X0: $i] :
( equalish(e_4,X0)
| product1(X0,e_4,e_3)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(X0) ),
inference(superposition,[status(thm)],[c_81,c_1259]) ).
tcf(c_1529,plain,
! [X0: $i] :
( equalish(e_4,X0)
| product1(X0,e_4,e_3)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1527,c_94]) ).
tcf(c_1596,plain,
! [X0: $i] :
( equalish(e_4,X0)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(e_4)
| ~ group_element(X0) ),
inference(superposition,[status(thm)],[c_81,c_1316]) ).
tcf(c_1598,plain,
! [X0: $i] :
( equalish(e_4,X0)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1596,c_94]) ).
tcf(c_1655,plain,
! [X0: $i] :
( equalish(e_1,e_4)
| ~ product1(X0,e_4,e_2)
| ~ product1(X0,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_626]) ).
tcf(c_1876,plain,
( equalish(e_3,e_1)
| ~ product1(e_4,e_3,e_2)
| ~ product1(e_4,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_614]) ).
tcf(c_1879,plain,
! [X0: $i] :
( equalish(e_4,e_3)
| ~ product1(e_4,X0,e_2)
| ~ product1(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_670]) ).
tcf(c_1888,plain,
( equalish(e_4,e_3)
| ~ product1(e_4,e_1,e_2)
| ~ product1(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_1879]) ).
tcf(c_2699,plain,
! [X0: $i] :
( equalish(e_4,e_2)
| ~ product1(e_4,X0,e_3)
| ~ product1(e_2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_646]) ).
tcf(c_2704,plain,
( equalish(e_4,e_2)
| ~ product1(e_4,e_1,e_3)
| ~ product1(e_2,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_2699]) ).
tcf(c_2708,plain,
! [X0: $i,X1: $i] :
( product2(X0,X1,e_4)
| ~ product1(e_4,X1,e_3)
| ~ product1(e_3,e_4,X0) ),
inference(instantiation,[status(thm)],[c_677]) ).
tcf(c_2709,plain,
( product2(e_1,e_1,e_4)
| ~ product1(e_4,e_1,e_3)
| ~ product1(e_3,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_2708]) ).
tcf(c_2975,plain,
! [X0: $i] :
( equalish(e_2,e_3)
| ~ product1(e_3,X0,e_4)
| ~ product1(e_2,X0,e_4) ),
inference(instantiation,[status(thm)],[c_664]) ).
tcf(c_2982,plain,
( equalish(e_2,e_3)
| ~ product1(e_3,e_1,e_4)
| ~ product1(e_2,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_2975]) ).
tcf(c_2988,plain,
! [X0: $i,X1: $i] :
( product2(X1,X0,e_3)
| ~ product1(e_4,e_3,X1)
| ~ product1(e_3,X0,e_4) ),
inference(instantiation,[status(thm)],[c_706]) ).
tcf(c_2989,plain,
( product2(e_1,e_1,e_3)
| ~ product1(e_4,e_3,e_1)
| ~ product1(e_3,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_2988]) ).
tcf(c_4234,plain,
( equalish(e_1,e_4)
| ~ product1(e_3,e_4,e_2)
| ~ product1(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_1655]) ).
tcf(c_4397,plain,
( equalish(e_4,e_3)
| equalish(e_3,e_4)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1)
| ~ group_element(e_3) ),
inference(superposition,[status(thm)],[c_1529,c_1316]) ).
tcf(c_4398,plain,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4397,c_101,c_102,c_95]) ).
tcf(c_4689,plain,
( equalish(e_4,e_3)
| equalish(e_3,e_4)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1)
| ~ group_element(e_3) ),
inference(superposition,[status(thm)],[c_1598,c_1259]) ).
tcf(c_4690,plain,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4689,c_101,c_102,c_95]) ).
tcf(c_5190,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4690,c_4398,c_4234,c_2989,c_2982,c_2709,c_2704,c_1888,c_1876,c_1515,c_1493,c_1297,c_835,c_740,c_732,c_711,c_703,c_682,c_346,c_306,c_298,c_258,c_250,c_104,c_103,c_87,c_88,c_89,c_90,c_97,c_100,c_101,c_93,c_94,c_95,c_96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-6.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.35 % Computer : n019.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 13:39:04 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running EPR theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 2.90/1.21 % SZS status Started for theBenchmark.p
% 2.90/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 2.90/1.21
% 2.90/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.90/1.21
% 2.90/1.21 % ------ iProver source info
% 2.90/1.21
% 2.90/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 2.90/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.90/1.21 % git: non_committed_changes: false
% 2.90/1.21
% 2.90/1.21 % ------ Parsing...% successful
% 2.90/1.21
% 2.90/1.21
% 2.90/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.90/1.21 %
% 2.90/1.21
% 2.90/1.21 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.90/1.21
% 2.90/1.21 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.90/1.21 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.90/1.21 % ------ Proving...
% 2.90/1.21 % ------ Problem Properties
% 2.90/1.21
% 2.90/1.21 %
% 2.90/1.21 % clauses 27
% 2.90/1.21 % conjectures 1
% 2.90/1.21 % EPR 27
% 2.90/1.21 % Horn 25
% 2.90/1.21 % unary 18
% 2.90/1.21 % binary 0
% 2.90/1.21 % lits 51
% 2.90/1.21 % lits eq 0
% 2.90/1.21 % fd_pure 0
% 2.90/1.21 % fd_pseudo 0
% 2.90/1.21 % fd_cond 0
% 2.90/1.21 % fd_pseudo_cond 0
% 2.90/1.21 % AC symbols 0
% 2.90/1.21
% 2.90/1.21 % ------ Schedule EPR non Horn non eq is on
% 2.90/1.21
% 2.90/1.21 % ------ no equalities: superposition off
% 2.90/1.21
% 2.90/1.21 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.90/1.21
% 2.90/1.21
% 2.90/1.21 % ------
% 2.90/1.21 % Current options:
% 2.90/1.21 % ------
% 2.90/1.21
% 2.90/1.21
% 2.90/1.21 %
% 2.90/1.21
% 2.90/1.21 % ------ Proving...
% 2.90/1.21 %
% 2.90/1.21
% 2.90/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 2.90/1.21
% 2.90/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.90/1.21
% 2.90/1.21
%------------------------------------------------------------------------------