%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP124-8.004 : 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 : n017.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 2.59s 1.14s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of formulae : 107 ( 35 unt; 0 def)
% Number of atoms : 278 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 328 ( 157 ~; 171 |; 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 : 101 ( 0 sgn 101 !; 0 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
fof(f23,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
fof(f24,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
fof(f25,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
fof(f26,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f27,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f28,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f30,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f33,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f34,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f35,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
fof(f36,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
fof(f38,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/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).
fof(f40,axiom,
! [X2,X3,X0,X1] :
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).
fof(f42,axiom,
! [X0] : product1(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).
fof(f44,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).
fof(f47,axiom,
! [X0] : product2(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).
fof(f48,negated_conjecture,
! [X2,X3,X0,X1] :
( product2(X3,X1,X0)
| ~ product1(X2,X0,X3)
| ~ product1(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg2a) ).
tcf(c_116,plain,
group_element(e_1),
inference(cnf_transformation,[],[f22]) ).
tcf(c_117,plain,
group_element(e_2),
inference(cnf_transformation,[],[f23]) ).
tcf(c_118,plain,
group_element(e_3),
inference(cnf_transformation,[],[f24]) ).
tcf(c_119,plain,
group_element(e_4),
inference(cnf_transformation,[],[f25]) ).
tcf(c_120,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[],[f26]) ).
tcf(c_121,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[],[f27]) ).
tcf(c_122,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[],[f28]) ).
tcf(c_124,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[],[f30]) ).
tcf(c_127,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[],[f33]) ).
tcf(c_128,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[],[f34]) ).
tcf(c_129,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[],[f35]) ).
tcf(c_130,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[],[f36]) ).
tcf(c_132,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,[],[f38]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_136,plain,
! [X0: $i] : product1(X0,X0,X0),
inference(cnf_transformation,[],[f42]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_141,plain,
! [X0: $i] : product2(X0,X0,X0),
inference(cnf_transformation,[],[f47]) ).
tcf(c_142,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,[],[f48]) ).
tcf(c_143,plain,
product2(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_144,plain,
product1(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_564,plain,
! [X0: $i,X1: $i] :
( ~ product2(X0,X1,e_2)
| ~ product2(X0,X1,e_1) ),
inference(resolution,[status(thm)],[c_120,c_138]) ).
tcf(c_565,plain,
( ~ product2(e_1,e_1,e_2)
| ~ product2(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_564]) ).
tcf(c_604,plain,
! [X0: $i,X1: $i] :
( ~ product1(e_2,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[c_120,c_135]) ).
tcf(c_605,plain,
( ~ product1(e_2,e_1,e_1)
| ~ product1(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_604]) ).
tcf(c_652,plain,
! [X0: $i,X1: $i] :
( ~ product1(e_3,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[c_121,c_135]) ).
tcf(c_653,plain,
( ~ product1(e_3,e_1,e_1)
| ~ product1(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_652]) ).
tcf(c_660,plain,
! [X0: $i,X1: $i] :
( ~ product2(X0,X1,e_4)
| ~ product2(X0,X1,e_1) ),
inference(resolution,[status(thm)],[c_122,c_138]) ).
tcf(c_661,plain,
( ~ product2(e_1,e_1,e_4)
| ~ product2(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_660]) ).
tcf(c_684,plain,
! [X0: $i,X1: $i] :
( ~ product1(X0,e_4,X1)
| ~ product1(X0,e_1,X1) ),
inference(resolution,[status(thm)],[c_122,c_134]) ).
tcf(c_685,plain,
( ~ product1(e_1,e_4,e_1)
| ~ product1(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_684]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i] :
( ~ product1(e_4,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[c_122,c_135]) ).
tcf(c_701,plain,
( ~ product1(e_4,e_1,e_1)
| ~ product1(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_1023,plain,
! [X0: $i,X1: $i] :
( equalish(e_1,e_2)
| ~ product1(X0,e_2,X1)
| ~ product1(X0,e_1,X1) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_1029,plain,
! [X0: $i,X1: $i] :
( equalish(e_1,e_3)
| ~ product1(X0,e_3,X1)
| ~ product1(X0,e_1,X1) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_1031,plain,
! [X0: $i,X1: $i] :
( equalish(e_1,e_3)
| ~ product1(e_3,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_1032,plain,
! [X0: $i,X1: $i] :
( equalish(e_1,e_4)
| ~ product2(X0,X1,e_4)
| ~ product2(X0,X1,e_1) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_1035,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_134]) ).
tcf(c_1037,plain,
! [X0: $i,X1: $i] :
( equalish(e_1,e_4)
| ~ product1(e_4,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_1047,plain,
! [X0: $i,X1: $i] :
( equalish(e_2,e_3)
| ~ product1(X0,e_3,X1)
| ~ product1(X0,e_2,X1) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_1049,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_135]) ).
tcf(c_1067,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_135]) ).
tcf(c_1073,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_135]) ).
tcf(c_1085,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_135]) ).
tcf(c_1118,plain,
( equalish(e_1,e_2)
| ~ product1(e_2,e_2,e_2)
| ~ product1(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[c_1023]) ).
tcf(c_1119,plain,
product1(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_1121,plain,
! [X0: $i] :
( product1(X0,e_2,e_4)
| product1(X0,e_2,e_3)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(X0) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_1132,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_132]) ).
tcf(c_1133,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_1132]) ).
tcf(c_1141,plain,
( equalish(e_1,e_3)
| ~ product1(e_3,e_3,e_3)
| ~ product1(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_1029]) ).
tcf(c_1142,plain,
product1(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_1155,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_132]) ).
tcf(c_1156,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_1155]) ).
tcf(c_1157,plain,
! [X0: $i,X1: $i,X2: $i] :
( product2(X2,e_4,X1)
| ~ product1(X1,e_4,X0)
| ~ product1(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_1160,plain,
product2(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_1165,plain,
product1(e_4,e_4,e_4),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_1167,plain,
! [X0: $i] :
( product1(X0,e_4,e_4)
| 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(instantiation,[status(thm)],[c_132]) ).
tcf(c_1168,plain,
( product1(e_1,e_4,e_4)
| product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_1167]) ).
tcf(c_1342,plain,
! [X0: $i,X1: $i,X2: $i] :
( product2(X1,X2,e_2)
| ~ product1(e_2,X2,X0)
| ~ product1(X0,e_2,X1) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_1354,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_142]) ).
tcf(c_1495,plain,
( equalish(e_2,e_3)
| ~ product1(e_3,e_3,e_3)
| ~ product1(e_3,e_2,e_3) ),
inference(instantiation,[status(thm)],[c_1047]) ).
tcf(c_1592,plain,
( equalish(e_1,e_4)
| ~ product2(e_4,e_4,e_4)
| ~ product2(e_4,e_4,e_1) ),
inference(instantiation,[status(thm)],[c_1032]) ).
tcf(c_1620,plain,
( equalish(e_3,e_4)
| ~ product1(e_4,e_4,e_4)
| ~ product1(e_3,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_1073]) ).
tcf(c_1622,plain,
( equalish(e_1,e_4)
| ~ product1(e_4,e_4,e_4)
| ~ product1(e_1,e_4,e_4) ),
inference(instantiation,[status(thm)],[c_1037]) ).
tcf(c_1826,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(instantiation,[status(thm)],[c_1121]) ).
tcf(c_1829,plain,
( equalish(e_2,e_3)
| ~ product1(e_3,e_2,e_2)
| ~ product1(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_1049]) ).
tcf(c_1851,plain,
! [X0: $i,X1: $i] :
( equalish(X0,X1)
| ~ product1(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_136,c_134]) ).
tcf(c_2076,plain,
! [X0: $i,X1: $i] :
( product2(X1,X0,e_2)
| ~ product1(e_3,e_2,X1)
| ~ product1(e_2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_1342]) ).
tcf(c_2077,plain,
( product2(e_1,e_1,e_2)
| ~ product1(e_3,e_2,e_1)
| ~ product1(e_2,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_2076]) ).
tcf(c_2429,plain,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3) ),
inference(instantiation,[status(thm)],[c_1155]) ).
tcf(c_2435,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_1035]) ).
tcf(c_2461,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_132,c_1851]) ).
tcf(c_2479,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_2461,c_119]) ).
tcf(c_2513,plain,
( equalish(e_4,e_1)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| ~ group_element(e_1) ),
inference(instantiation,[status(thm)],[c_2479]) ).
tcf(c_2625,plain,
! [X0: $i,X1: $i] :
( product2(X1,e_4,X0)
| ~ product1(X0,e_4,e_2)
| ~ product1(e_2,X0,X1) ),
inference(instantiation,[status(thm)],[c_1157]) ).
tcf(c_2659,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_1073]) ).
tcf(c_2664,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_2659]) ).
tcf(c_2898,plain,
! [X0: $i] :
( product2(e_4,e_4,X0)
| ~ product1(e_2,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_2625]) ).
tcf(c_2903,plain,
( product2(e_4,e_4,e_1)
| ~ product1(e_2,e_1,e_4)
| ~ product1(e_1,e_4,e_2) ),
inference(instantiation,[status(thm)],[c_2898]) ).
tcf(c_3586,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_1067]) ).
tcf(c_3593,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_3586]) ).
tcf(c_3633,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_1085]) ).
tcf(c_3642,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_3633]) ).
tcf(c_3649,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_1354]) ).
tcf(c_3650,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_3649]) ).
tcf(c_4930,plain,
( equalish(e_1,e_2)
| ~ product1(e_3,e_2,e_4)
| ~ product1(e_3,e_1,e_4) ),
inference(instantiation,[status(thm)],[c_1023]) ).
tcf(c_4982,plain,
( equalish(e_1,e_3)
| ~ product1(e_3,e_4,e_3)
| ~ product1(e_1,e_4,e_3) ),
inference(instantiation,[status(thm)],[c_1031]) ).
tcf(c_4989,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4982,c_4930,c_3650,c_3642,c_3593,c_2903,c_2664,c_2513,c_2435,c_2429,c_2077,c_1829,c_1826,c_1620,c_1622,c_1592,c_1495,c_1168,c_1165,c_1160,c_1156,c_1142,c_1141,c_1133,c_1119,c_1118,c_701,c_685,c_661,c_653,c_605,c_565,c_120,c_121,c_122,c_124,c_127,c_128,c_129,c_130,c_144,c_143,c_116,c_117,c_118,c_119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP124-8.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n017.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 13:34:44 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 Running EPR theorem proving
% 0.09/0.38 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
% 0.09/0.39
% 0.09/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.39
% 0.09/0.39 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 2.59/1.14 % SZS status Started for theBenchmark.p
% 2.59/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.59/1.14
% 2.59/1.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.59/1.14
% 2.59/1.14 % ------ iProver source info
% 2.59/1.14
% 2.59/1.14 % git: date: 2026-07-19 20:42:38 +0200
% 2.59/1.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.59/1.14 % git: non_committed_changes: false
% 2.59/1.14
% 2.59/1.14 % ------ Parsing...% successful
% 2.59/1.14
% 2.59/1.14
% 2.59/1.14 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.59/1.14 %
% 2.59/1.14
% 2.59/1.14 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.59/1.14
% 2.59/1.14 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.59/1.14 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.59/1.14 % ------ Proving...
% 2.59/1.14 % ------ Problem Properties
% 2.59/1.14
% 2.59/1.14 %
% 2.59/1.14 % clauses 46
% 2.59/1.14 % conjectures 1
% 2.59/1.14 % EPR 46
% 2.59/1.14 % Horn 43
% 2.59/1.14 % unary 33
% 2.59/1.14 % binary 0
% 2.59/1.14 % lits 86
% 2.59/1.14 % lits eq 0
% 2.59/1.14 % fd_pure 0
% 2.59/1.14 % fd_pseudo 0
% 2.59/1.14 % fd_cond 0
% 2.59/1.14 % fd_pseudo_cond 0
% 2.59/1.14 % AC symbols 0
% 2.59/1.14
% 2.59/1.14 % ------ Schedule EPR non Horn non eq is on
% 2.59/1.14
% 2.59/1.14 % ------ no equalities: superposition off
% 2.59/1.14
% 2.59/1.14 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.59/1.14
% 2.59/1.14
% 2.59/1.14 % ------
% 2.59/1.14 % Current options:
% 2.59/1.14 % ------
% 2.59/1.14
% 2.59/1.14
% 2.59/1.14 %
% 2.59/1.14
% 2.59/1.14 % ------ Proving...
% 2.59/1.14 %
% 2.59/1.14
% 2.59/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.59/1.14
% 2.59/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.59/1.14
% 2.59/1.14
%------------------------------------------------------------------------------