%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP124-7.004 : 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 : n001.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 2.57s 1.19s
% Output : CNFRefutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 99 ( 39 unt; 0 def)
% Number of atoms : 247 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 274 ( 126 ~; 148 |; 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 : 85 ( 0 sgn 85 !; 0 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f12,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f13,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f14,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
fof(f15,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f16,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f17,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f18,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f20,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
fof(f21,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f22,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f23,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f24,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
fof(f26,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
fof(f27,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(f29,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(f30,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(f31,axiom,
! [X0] : product1(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_idempotence) ).
fof(f33,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(f36,axiom,
! [X0] : product2(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_idempotence) ).
fof(f37,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_86,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,[],[f37]) ).
tcf(c_87,plain,
! [X0: $i] : product1(X0,X0,X0),
inference(cnf_transformation,[],[f31]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( product1(X1,X0,e_4)
| product1(X1,X0,e_3)
| product1(X1,X0,e_2)
| product1(X1,X0,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_92,plain,
! [X0: $i] : product2(X0,X0,X0),
inference(cnf_transformation,[],[f36]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_97,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[],[f26]) ).
tcf(c_99,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[],[f24]) ).
tcf(c_100,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[],[f23]) ).
tcf(c_101,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[],[f22]) ).
tcf(c_102,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[],[f21]) ).
tcf(c_103,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[],[f20]) ).
tcf(c_105,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[],[f18]) ).
tcf(c_106,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[],[f17]) ).
tcf(c_107,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[],[f16]) ).
tcf(c_108,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[],[f15]) ).
tcf(c_109,plain,
group_element(e_4),
inference(cnf_transformation,[],[f14]) ).
tcf(c_110,plain,
group_element(e_3),
inference(cnf_transformation,[],[f13]) ).
tcf(c_111,plain,
group_element(e_2),
inference(cnf_transformation,[],[f12]) ).
tcf(c_112,plain,
group_element(e_1),
inference(cnf_transformation,[],[f11]) ).
tcf(c_113,plain,
product2(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_114,plain,
product1(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_259,plain,
! [X0: $i,X1: $i] :
( ~ product1(e_2,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[c_108,c_88]) ).
tcf(c_260,plain,
( ~ product1(e_2,e_1,e_1)
| ~ product1(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_259]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i] :
( ~ product2(X0,X1,e_3)
| ~ product2(X0,X1,e_1) ),
inference(resolution,[status(thm)],[c_107,c_95]) ).
tcf(c_268,plain,
( ~ product2(e_1,e_1,e_3)
| ~ product2(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_307,plain,
! [X0: $i,X1: $i] :
( ~ product1(e_3,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[c_107,c_88]) ).
tcf(c_308,plain,
( ~ product1(e_3,e_1,e_1)
| ~ product1(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_307]) ).
tcf(c_315,plain,
! [X0: $i,X1: $i] :
( ~ product2(X0,X1,e_4)
| ~ product2(X0,X1,e_1) ),
inference(resolution,[status(thm)],[c_106,c_95]) ).
tcf(c_316,plain,
( ~ product2(e_1,e_1,e_4)
| ~ product2(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_315]) ).
tcf(c_355,plain,
! [X0: $i,X1: $i] :
( ~ product1(e_4,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[c_106,c_88]) ).
tcf(c_356,plain,
( ~ product1(e_4,e_1,e_1)
| ~ product1(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_355]) ).
tcf(c_630,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_89]) ).
tcf(c_638,plain,
! [X0: $i,X1: $i] :
( equalish(e_3,e_4)
| ~ product1(e_4,X0,X1)
| ~ product1(e_3,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_644,plain,
! [X0: $i,X1: $i] :
( equalish(e_3,e_2)
| ~ product1(e_3,X0,X1)
| ~ product1(e_2,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_648,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_89]) ).
tcf(c_656,plain,
! [X0: $i,X1: $i] :
( equalish(e_2,e_4)
| ~ product1(e_4,X0,X1)
| ~ product1(e_2,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_666,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_89]) ).
tcf(c_695,plain,
product1(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_708,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_91]) ).
tcf(c_709,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_708]) ).
tcf(c_772,plain,
product1(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_785,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_91]) ).
tcf(c_786,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_785]) ).
tcf(c_854,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_666]) ).
tcf(c_855,plain,
product1(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_890,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_91]) ).
tcf(c_891,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_890]) ).
tcf(c_898,plain,
! [X0: $i,X1: $i] :
( equalish(X1,X0)
| ~ product1(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_87,c_88]) ).
tcf(c_979,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_86]) ).
tcf(c_1080,plain,
! [X0: $i,X1: $i] :
( equalish(X0,X1)
| ~ product1(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_87,c_89]) ).
tcf(c_1147,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_630]) ).
tcf(c_1214,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_91,c_898]) ).
tcf(c_1215,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_91,c_1080]) ).
tcf(c_1221,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_1215,c_109]) ).
tcf(c_1227,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_1214,c_109]) ).
tcf(c_1353,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_648]) ).
tcf(c_1798,plain,
! [X0: $i] :
( equalish(e_3,e_4)
| ~ product1(e_4,X0,e_2)
| ~ product1(e_3,X0,e_2) ),
inference(instantiation,[status(thm)],[c_638]) ).
tcf(c_1805,plain,
( equalish(e_3,e_4)
| ~ product1(e_4,e_1,e_2)
| ~ product1(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_1798]) ).
tcf(c_2618,plain,
! [X0: $i] :
( equalish(e_2,e_4)
| ~ product1(e_4,X0,e_3)
| ~ product1(e_2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_656]) ).
tcf(c_2627,plain,
( equalish(e_2,e_4)
| ~ product1(e_4,e_1,e_3)
| ~ product1(e_2,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_2618]) ).
tcf(c_2715,plain,
! [X0: $i,X1: $i] :
( equalish(e_4,X1)
| product1(e_4,X1,e_2)
| product1(e_4,X1,e_1)
| product2(X0,X1,e_4)
| ~ group_element(X1)
| ~ product1(e_3,e_4,X0) ),
inference(superposition,[status(thm)],[c_1221,c_86]) ).
tcf(c_2719,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_1221,c_898]) ).
tcf(c_2720,plain,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2719,c_97,c_100,c_110]) ).
tcf(c_2758,plain,
( equalish(e_4,e_1)
| product2(e_1,e_1,e_4)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| ~ group_element(e_1)
| ~ product1(e_3,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_2715]) ).
tcf(c_2869,plain,
! [X0: $i] :
( equalish(e_3,e_2)
| ~ product1(e_3,X0,e_4)
| ~ product1(e_2,X0,e_4) ),
inference(instantiation,[status(thm)],[c_644]) ).
tcf(c_2870,plain,
( equalish(e_3,e_2)
| ~ product1(e_3,e_1,e_4)
| ~ product1(e_2,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_2869]) ).
tcf(c_2896,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_979]) ).
tcf(c_2897,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_2896]) ).
tcf(c_2953,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_1227,c_1080]) ).
tcf(c_2954,plain,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2953,c_97,c_100,c_110]) ).
tcf(c_3238,plain,
! [X0: $i] :
( equalish(e_3,X0)
| product1(e_4,e_3,e_1)
| ~ product1(e_4,X0,e_2) ),
inference(superposition,[status(thm)],[c_2720,c_89]) ).
tcf(c_3262,plain,
( equalish(e_3,e_1)
| product1(e_4,e_3,e_1)
| ~ product1(e_4,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_3238]) ).
tcf(c_3340,plain,
product1(e_3,e_4,e_2),
inference(global_subsumption_just,[status(thm)],[c_2954,c_112,c_111,c_110,c_109,c_105,c_103,c_102,c_101,c_100,c_99,c_113,c_114,c_260,c_268,c_308,c_316,c_356,c_695,c_709,c_772,c_786,c_854,c_855,c_891,c_1147,c_1353,c_1805,c_2627,c_2758,c_2870,c_2897,c_2954,c_3262]) ).
tcf(c_3344,plain,
! [X0: $i] :
( equalish(e_4,X0)
| ~ product1(e_3,X0,e_2) ),
inference(superposition,[status(thm)],[c_3340,c_89]) ).
tcf(c_3357,plain,
( equalish(e_4,e_1)
| ~ product1(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_3344]) ).
tcf(c_3358,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3357,c_3262,c_2897,c_2870,c_2627,c_1353,c_1147,c_891,c_855,c_854,c_786,c_772,c_709,c_695,c_356,c_308,c_268,c_260,c_114,c_113,c_99,c_101,c_102,c_103,c_105,c_109,c_110,c_111,c_112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP124-7.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.34 % Computer : n001.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Wed Sep 23 13:44:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running EPR theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 2.57/1.19 % SZS status Started for theBenchmark.p
% 2.57/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.57/1.19
% 2.57/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.57/1.19
% 2.57/1.19 % ------ iProver source info
% 2.57/1.19
% 2.57/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 2.57/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.57/1.19 % git: non_committed_changes: false
% 2.57/1.19
% 2.57/1.19 % ------ Parsing...% successful
% 2.57/1.19
% 2.57/1.19
% 2.57/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.57/1.19 %
% 2.57/1.19
% 2.57/1.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.57/1.19
% 2.57/1.19 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.57/1.19 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.57/1.19 % ------ Proving...
% 2.57/1.19 % ------ Problem Properties
% 2.57/1.19
% 2.57/1.19 %
% 2.57/1.19 % clauses 27
% 2.57/1.19 % conjectures 1
% 2.57/1.19 % EPR 27
% 2.57/1.19 % Horn 25
% 2.57/1.19 % unary 18
% 2.57/1.19 % binary 0
% 2.57/1.19 % lits 51
% 2.57/1.19 % lits eq 0
% 2.57/1.19 % fd_pure 0
% 2.57/1.19 % fd_pseudo 0
% 2.57/1.19 % fd_cond 0
% 2.57/1.19 % fd_pseudo_cond 0
% 2.57/1.19 % AC symbols 0
% 2.57/1.19
% 2.57/1.19 % ------ Schedule EPR non Horn non eq is on
% 2.57/1.19
% 2.57/1.19 % ------ no equalities: superposition off
% 2.57/1.19
% 2.57/1.19 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.57/1.19
% 2.57/1.19
% 2.57/1.19 % ------
% 2.57/1.19 % Current options:
% 2.57/1.19 % ------
% 2.57/1.19
% 2.57/1.19
% 2.57/1.19 %
% 2.57/1.19
% 2.57/1.19 % ------ Proving...
% 2.57/1.19 %
% 2.57/1.19
% 2.57/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.57/1.19
% 2.57/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.57/1.19
% 2.57/1.19
%------------------------------------------------------------------------------