%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP124-2.004 : 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 : n008.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 01:31:09 PM UTC 2026
% Result : Unsatisfiable 2.41s 11.24s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 91 ( 34 unt; 0 def)
% Number of atoms : 277 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 303 ( 117 ~; 186 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 4 ( 3 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 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
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(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(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] :
( product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f28,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
fof(f29,axiom,
! [X2,X3,X0,X1] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f30,axiom,
! [X2,X3,X0,X1] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f31,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f33,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( equalish(X1,X4)
| ~ product(X5,X3,X4)
| ~ product(X5,X0,X1)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2) ).
tcf(c_92,plain,
group_element(e_1),
inference(cnf_transformation,[],[f11]) ).
tcf(c_94,plain,
group_element(e_3),
inference(cnf_transformation,[],[f13]) ).
tcf(c_95,plain,
group_element(e_4),
inference(cnf_transformation,[],[f14]) ).
tcf(c_97,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[],[f16]) ).
tcf(c_98,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[],[f17]) ).
tcf(c_99,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[],[f18]) ).
tcf(c_102,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[],[f21]) ).
tcf(c_103,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[],[f22]) ).
tcf(c_104,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[],[f23]) ).
tcf(c_105,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[],[f24]) ).
tcf(c_107,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[],[f26]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( product(X1,X0,e_4)
| product(X1,X0,e_3)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_112,plain,
! [X0: $i] : product(X0,X0,X0),
inference(cnf_transformation,[],[f31]) ).
tcf(c_114,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( equalish(X1,X4)
| ~ product(X5,X3,X4)
| ~ product(X5,X0,X1)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_115,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( equalish(X1,X0)
| ~ product(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_112,c_109]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i] :
( equalish(X0,X1)
| ~ product(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_112,c_110]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] :
( equalish(X1,X0)
| ~ product(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_112,c_111]) ).
tcf(c_179,plain,
! [X0: $i] :
( equalish(e_4,X0)
| product(X0,X0,e_3)
| product(X0,X0,e_2)
| product(X0,X0,e_1)
| ~ group_element(X0) ),
inference(superposition,[status(thm)],[c_108,c_133]) ).
tcf(c_180,plain,
! [X0: $i] :
( equalish(e_4,X0)
| product(X0,e_4,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(X0) ),
inference(superposition,[status(thm)],[c_108,c_161]) ).
tcf(c_181,plain,
! [X0: $i] :
( equalish(e_4,X0)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(e_4)
| ~ group_element(X0) ),
inference(superposition,[status(thm)],[c_108,c_154]) ).
tcf(c_182,plain,
! [X0: $i] :
( equalish(e_4,X0)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_181,c_95]) ).
tcf(c_183,plain,
! [X0: $i] :
( equalish(e_4,X0)
| product(X0,e_4,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_180,c_95]) ).
tcf(c_223,plain,
! [X0: $i] :
( equalish(e_4,X0)
| equalish(e_3,X0)
| product(X0,X0,e_2)
| product(X0,X0,e_1)
| ~ group_element(X0) ),
inference(superposition,[status(thm)],[c_179,c_133]) ).
tcf(c_243,plain,
( equalish(e_4,e_3)
| equalish(e_3,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3) ),
inference(superposition,[status(thm)],[c_182,c_161]) ).
tcf(c_244,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_243,c_107,c_104,c_94]) ).
tcf(c_289,plain,
( equalish(e_4,e_3)
| equalish(e_3,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_3) ),
inference(superposition,[status(thm)],[c_183,c_154]) ).
tcf(c_290,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_289,c_107,c_104,c_94]) ).
tcf(c_310,plain,
! [X0: $i] :
( equalish(e_4,X0)
| product(e_4,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(superposition,[status(thm)],[c_244,c_111]) ).
tcf(c_314,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(e_3,X2)
| product(e_4,e_3,e_1)
| ~ product(X0,e_4,e_3)
| ~ product(X1,X2,e_2)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_244,c_114]) ).
tcf(c_319,plain,
( equalish(e_4,e_1)
| product(e_4,e_3,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_310]) ).
tcf(c_341,plain,
! [X0: $i] :
( equalish(e_3,X0)
| product(e_3,e_4,e_1)
| ~ product(X0,e_4,e_2) ),
inference(superposition,[status(thm)],[c_290,c_111]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(e_4,X2)
| product(e_3,e_4,e_1)
| ~ product(X0,e_3,e_4)
| ~ product(X1,X2,e_2)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_290,c_114]) ).
tcf(c_350,plain,
( equalish(e_3,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_384,plain,
( equalish(e_3,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_4,e_2,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(superposition,[status(thm)],[c_290,c_314]) ).
tcf(c_386,plain,
( product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_4,e_2,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_384,c_103]) ).
tcf(c_439,plain,
! [X0: $i] :
( equalish(e_4,e_3)
| equalish(e_4,X0)
| product(e_3,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| ~ group_element(X0)
| ~ product(e_4,e_3,e_2)
| ~ product(X0,e_3,e_4) ),
inference(superposition,[status(thm)],[c_183,c_345]) ).
tcf(c_446,plain,
! [X0: $i] :
( equalish(e_4,X0)
| product(e_3,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| ~ group_element(X0)
| ~ product(e_4,e_3,e_2)
| ~ product(X0,e_3,e_4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_439,c_107]) ).
tcf(c_449,plain,
( equalish(e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_1)
| ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(instantiation,[status(thm)],[c_446]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i] :
( equalish(e_1,e_3)
| ~ product(X0,e_3,X1)
| ~ product(X0,e_1,X1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_512,plain,
( equalish(e_1,e_3)
| ~ product(e_1,e_3,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_511]) ).
tcf(c_513,plain,
! [X0: $i,X1: $i] :
( equalish(e_1,e_4)
| ~ product(X0,e_4,X1)
| ~ product(X0,e_1,X1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_514,plain,
( equalish(e_1,e_4)
| ~ product(e_1,e_4,e_1)
| ~ product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_513]) ).
tcf(c_623,plain,
! [X0: $i,X1: $i] :
( equalish(e_1,e_3)
| ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_835,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_1020,plain,
! [X0: $i] :
( product(X0,e_3,e_4)
| 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_108]) ).
tcf(c_1021,plain,
( product(e_1,e_3,e_4)
| 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_1020]) ).
tcf(c_1165,plain,
! [X0: $i] :
( equalish(e_4,X0)
| equalish(e_3,X0)
| equalish(e_2,X0)
| product(X0,X0,e_1)
| ~ group_element(X0) ),
inference(superposition,[status(thm)],[c_223,c_133]) ).
tcf(c_1207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(e_4,X1)
| equalish(e_3,X1)
| equalish(e_2,X1)
| equalish(X1,X3)
| ~ group_element(X1)
| ~ product(X2,X3,e_1)
| ~ product(X0,X2,X3)
| ~ product(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_1165,c_114]) ).
tcf(c_1240,plain,
( equalish(e_1,e_3)
| ~ product(e_3,e_3,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_623]) ).
tcf(c_1430,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(e_4,X0)
| equalish(e_3,X0)
| equalish(e_2,X0)
| equalish(X0,X2)
| ~ group_element(X0)
| ~ product(X1,X2,e_1)
| ~ product(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_112,c_1207]) ).
tcf(c_1432,plain,
! [X0: $i,X1: $i] :
( equalish(e_4,e_1)
| equalish(e_3,e_1)
| equalish(e_2,e_1)
| equalish(e_1,X1)
| ~ group_element(e_1)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(superposition,[status(thm)],[c_1165,c_1207]) ).
tcf(c_1437,plain,
! [X0: $i,X1: $i] :
( equalish(e_1,X1)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1432,c_105,c_102,c_99,c_92]) ).
tcf(c_1830,plain,
! [X0: $i] :
( equalish(e_4,X0)
| equalish(e_3,X0)
| equalish(e_2,X0)
| equalish(X0,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| ~ group_element(X0)
| ~ product(e_4,e_3,e_1) ),
inference(superposition,[status(thm)],[c_183,c_1430]) ).
tcf(c_1837,plain,
( equalish(e_4,e_1)
| equalish(e_3,e_1)
| equalish(e_2,e_1)
| equalish(e_1,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_1)
| ~ product(e_4,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_1830]) ).
tcf(c_1838,plain,
product(e_3,e_4,e_1),
inference(global_subsumption_just,[status(thm)],[c_386,c_94,c_92,c_115,c_105,c_102,c_99,c_98,c_97,c_244,c_319,c_350,c_449,c_512,c_514,c_835,c_1021,c_1240,c_1837]) ).
tcf(c_1841,plain,
( equalish(e_1,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(superposition,[status(thm)],[c_1838,c_1437]) ).
tcf(c_1866,plain,
~ product(e_1,e_3,e_4),
inference(forward_subsumption_resolution,[status(thm)],[c_1841,c_98]) ).
tcf(c_1892,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(superposition,[status(thm)],[c_108,c_1866]) ).
tcf(c_1893,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1892,c_94,c_92]) ).
tcf(c_1898,plain,
product(e_1,e_3,e_2),
inference(global_subsumption_just,[status(thm)],[c_1893,c_94,c_92,c_115,c_97,c_512,c_835,c_1021,c_1240,c_1866]) ).
tcf(c_1916,plain,
! [X0: $i] :
( equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(superposition,[status(thm)],[c_1898,c_110]) ).
tcf(c_1921,plain,
( equalish(e_4,e_1)
| product(e_4,e_3,e_1) ),
inference(superposition,[status(thm)],[c_1898,c_310]) ).
tcf(c_1922,plain,
product(e_4,e_3,e_1),
inference(forward_subsumption_resolution,[status(thm)],[c_1921,c_105]) ).
tcf(c_1976,plain,
( equalish(e_1,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(superposition,[status(thm)],[c_1922,c_1437]) ).
tcf(c_1997,plain,
~ product(e_1,e_4,e_3),
inference(forward_subsumption_resolution,[status(thm)],[c_1976,c_97]) ).
tcf(c_2284,plain,
( equalish(e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_1) ),
inference(superposition,[status(thm)],[c_183,c_1997]) ).
tcf(c_2285,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2284,c_105,c_92]) ).
tcf(c_2350,plain,
product(e_1,e_4,e_2),
inference(global_subsumption_just,[status(thm)],[c_2285,c_94,c_92,c_115,c_105,c_102,c_99,c_98,c_97,c_319,c_512,c_514,c_835,c_1021,c_1240,c_1837,c_1866]) ).
tcf(c_2375,plain,
equalish(e_3,e_4),
inference(superposition,[status(thm)],[c_2350,c_1916]) ).
tcf(c_2376,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2375,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-2.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.39 % Computer : n008.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Wed Sep 23 13:38:51 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/10.43 Running EPR theorem proving
% 0.16/10.43 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
% 0.16/10.44
% 0.16/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.44
% 0.16/10.44 % Detected problem language: tptp
% 0.16/10.45 % Proving...
% 2.41/11.24 % SZS status Started for theBenchmark.p
% 2.41/11.24 % SZS status Unsatisfiable for theBenchmark.p
% 2.41/11.24
% 2.41/11.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.41/11.24
% 2.41/11.24 % ------ iProver source info
% 2.41/11.24
% 2.41/11.24 % git: date: 2026-07-19 20:42:38 +0200
% 2.41/11.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.41/11.24 % git: non_committed_changes: false
% 2.41/11.24
% 2.41/11.24 % ------ Parsing...% successful
% 2.41/11.24
% 2.41/11.24
% 2.41/11.24 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.41/11.24 % ------ Proving...
% 2.41/11.24 % ------ Problem Properties
% 2.41/11.24
% 2.41/11.24 %
% 2.41/11.24 % clauses 33
% 2.41/11.24 % conjectures 2
% 2.41/11.24 % EPR 33
% 2.41/11.24 % Horn 32
% 2.41/11.24 % unary 26
% 2.41/11.24 % binary 0
% 2.41/11.24 % lits 54
% 2.41/11.24 % lits eq 0
% 2.41/11.24 % fd_pure 0
% 2.41/11.24 % fd_pseudo 0
% 2.41/11.24 % fd_cond 0
% 2.41/11.24 % fd_pseudo_cond 0
% 2.41/11.24 % AC symbols 0
% 2.41/11.24
% 2.41/11.24 % ------ Input Options Time Limit: Unbounded
% 2.41/11.24
% 2.41/11.24
% 2.41/11.24 % ------
% 2.41/11.24 % Current options:
% 2.41/11.24 % ------
% 2.41/11.24
% 2.41/11.24
% 2.41/11.24 %
% 2.41/11.24
% 2.41/11.24 % ------ Proving...
% 2.41/11.24 %
% 2.41/11.24
% 2.41/11.24 % SZS status Unsatisfiable for theBenchmark.p
% 2.41/11.24
% 2.41/11.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.41/11.24
% 2.41/11.24
%------------------------------------------------------------------------------