%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP127-3.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:23:09 EDT 2024
% Result : Unsatisfiable 2.22s 2.44s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 31
% Syntax : Number of clauses : 116 ( 30 unt; 44 nHn; 115 RR)
% Number of literals : 315 ( 0 equ; 136 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(product_idempotence,axiom,
product(X2,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
cnf(product_right_cancellation,axiom,
( ~ product(X34,X33,X32)
| ~ product(X34,X31,X32)
| equalish(X33,X31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c29,plain,
( ~ product(X41,X40,X41)
| equalish(X40,X41) ),
inference(resolution,[status(thm)],[product_right_cancellation,product_idempotence]) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(e_1_greater_e_0,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_greater_e_0) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(cycle4,axiom,
( ~ cycle(X12,X11)
| ~ cycle(X9,X13)
| ~ next(X12,X9)
| ~ greater(X11,e_0)
| ~ next(X13,X10)
| equalish(X11,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle4) ).
cnf(c9,plain,
( ~ cycle(X86,X87)
| ~ cycle(X88,e_1)
| ~ next(X86,X88)
| ~ greater(X87,e_0)
| equalish(X87,e_2) ),
inference(resolution,[status(thm)],[cycle4,e_1_then_e_2]) ).
cnf(c101,plain,
( ~ cycle(X110,e_1)
| ~ cycle(X109,e_1)
| ~ next(X110,X109)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c9,e_1_greater_e_0]) ).
cnf(c159,plain,
( ~ cycle(e_2,e_1)
| ~ cycle(e_3,e_1)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c101,e_2_then_e_3]) ).
cnf(cycle3,axiom,
cycle(e_4,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle3) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(e_3_greater_e_0,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_0) ).
cnf(cycle5,axiom,
( ~ cycle(X26,X23)
| ~ cycle(X24,e_0)
| ~ cycle(X22,X25)
| ~ next(X24,X22)
| ~ greater(X24,X26)
| ~ greater(X23,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle5) ).
cnf(c21,plain,
( ~ cycle(X129,e_3)
| ~ cycle(X130,e_0)
| ~ cycle(X128,e_0)
| ~ next(X130,X128)
| ~ greater(X130,X129) ),
inference(resolution,[status(thm)],[cycle5,e_3_greater_e_0]) ).
cnf(c210,plain,
( ~ cycle(e_2,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(X225,e_0)
| ~ next(e_3,X225) ),
inference(resolution,[status(thm)],[c21,e_3_greater_e_2]) ).
cnf(c443,plain,
( ~ cycle(e_2,e_3)
| ~ cycle(e_3,e_0)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[c210,e_3_then_e_4]) ).
cnf(c444,plain,
( ~ cycle(e_2,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[c443,cycle3]) ).
cnf(e_2_greater_e_0,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_greater_e_0) ).
cnf(e_0_then_e_1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_0_then_e_1) ).
cnf(c8,plain,
( ~ cycle(X81,X82)
| ~ cycle(X83,e_0)
| ~ next(X81,X83)
| ~ greater(X82,e_0)
| equalish(X82,e_1) ),
inference(resolution,[status(thm)],[cycle4,e_0_then_e_1]) ).
cnf(c94,plain,
( ~ cycle(X99,e_2)
| ~ cycle(X100,e_0)
| ~ next(X99,X100)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c8,e_2_greater_e_0]) ).
cnf(c126,plain,
( ~ cycle(e_3,e_2)
| ~ cycle(e_4,e_0)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c94,e_3_then_e_4]) ).
cnf(c139,plain,
( ~ cycle(e_3,e_2)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c126,cycle3]) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(cycle2,axiom,
( ~ group_element(X6)
| cycle(X6,e_0)
| cycle(X6,e_1)
| cycle(X6,e_2)
| cycle(X6,e_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle2) ).
cnf(c4,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(resolution,[status(thm)],[cycle2,element_3]) ).
cnf(c93,plain,
( ~ cycle(X94,e_3)
| ~ cycle(X95,e_0)
| ~ next(X94,X95)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c8,e_3_greater_e_0]) ).
cnf(c114,plain,
( ~ cycle(e_3,e_3)
| ~ cycle(e_4,e_0)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c93,e_3_then_e_4]) ).
cnf(c117,plain,
( ~ cycle(e_3,e_3)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c114,cycle3]) ).
cnf(c122,plain,
( equalish(e_3,e_1)
| cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(resolution,[status(thm)],[c117,c4]) ).
cnf(c492,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(resolution,[status(thm)],[c122,e_3_is_not_e_1]) ).
cnf(c562,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c492,c139]) ).
cnf(c604,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1) ),
inference(resolution,[status(thm)],[c562,e_2_is_not_e_1]) ).
cnf(c618,plain,
( cycle(e_3,e_1)
| ~ cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[c604,c444]) ).
cnf(c26,plain,
( ~ cycle(X156,e_2)
| ~ cycle(X157,e_0)
| ~ cycle(X155,e_0)
| ~ next(X157,X155)
| ~ greater(X157,X156) ),
inference(resolution,[status(thm)],[cycle5,e_2_greater_e_0]) ).
cnf(c288,plain,
( ~ cycle(e_2,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(X280,e_0)
| ~ next(e_3,X280) ),
inference(resolution,[status(thm)],[c26,e_3_greater_e_2]) ).
cnf(c649,plain,
( ~ cycle(e_2,e_2)
| ~ cycle(e_3,e_0)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[c288,e_3_then_e_4]) ).
cnf(c650,plain,
( ~ cycle(e_2,e_2)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[c649,cycle3]) ).
cnf(c651,plain,
( ~ cycle(e_2,e_2)
| cycle(e_3,e_1) ),
inference(resolution,[status(thm)],[c650,c604]) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(c3,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[cycle2,element_2]) ).
cnf(c20,plain,
( ~ cycle(X124,e_1)
| ~ cycle(X125,e_0)
| ~ cycle(X123,e_0)
| ~ next(X125,X123)
| ~ greater(X125,X124) ),
inference(resolution,[status(thm)],[cycle5,e_1_greater_e_0]) ).
cnf(c194,plain,
( ~ cycle(e_2,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(X213,e_0)
| ~ next(e_3,X213) ),
inference(resolution,[status(thm)],[c20,e_3_greater_e_2]) ).
cnf(c423,plain,
( ~ cycle(e_2,e_1)
| ~ cycle(e_3,e_0)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[c194,e_3_then_e_4]) ).
cnf(c428,plain,
( ~ cycle(e_2,e_1)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[c423,cycle3]) ).
cnf(c616,plain,
( cycle(e_3,e_1)
| ~ cycle(e_2,e_1) ),
inference(resolution,[status(thm)],[c604,c428]) ).
cnf(c630,plain,
( cycle(e_3,e_1)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[c616,c3]) ).
cnf(c695,plain,
( cycle(e_3,e_1)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(resolution,[status(thm)],[c630,c651]) ).
cnf(c748,plain,
( cycle(e_3,e_1)
| cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[c695,c618]) ).
cnf(c762,plain,
( cycle(e_2,e_0)
| ~ cycle(e_2,e_1)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c748,c159]) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(c102,plain,
( ~ cycle(X115,e_3)
| ~ cycle(X114,e_1)
| ~ next(X115,X114)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c9,e_3_greater_e_0]) ).
cnf(c174,plain,
( ~ cycle(e_2,e_3)
| ~ cycle(e_3,e_1)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c102,e_2_then_e_3]) ).
cnf(c759,plain,
( cycle(e_2,e_0)
| ~ cycle(e_2,e_3)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c748,c174]) ).
cnf(c823,plain,
( cycle(e_2,e_0)
| equalish(e_3,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[c759,c3]) ).
cnf(c1013,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[c823,e_3_is_not_e_2]) ).
cnf(c1063,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_2)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c1013,c762]) ).
cnf(c1111,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[c1063,e_1_is_not_e_2]) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(cycle6,axiom,
( ~ cycle(X39,e_0)
| ~ product(X39,e_1,X38)
| ~ greater(X38,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle6) ).
cnf(product_left_cancellation,axiom,
( ~ product(X46,X44,X45)
| ~ product(X43,X44,X45)
| equalish(X46,X43) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c33,plain,
( ~ product(X54,X55,X55)
| equalish(X54,X55) ),
inference(resolution,[status(thm)],[product_left_cancellation,product_idempotence]) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(product_total_function1,axiom,
( ~ group_element(X65)
| ~ group_element(X64)
| product(X65,X64,e_1)
| product(X65,X64,e_2)
| product(X65,X64,e_3)
| product(X65,X64,e_4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c40,plain,
( ~ group_element(X165)
| product(X165,e_1,e_1)
| product(X165,e_1,e_2)
| product(X165,e_1,e_3)
| product(X165,e_1,e_4) ),
inference(resolution,[status(thm)],[product_total_function1,element_1]) ).
cnf(c308,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[c40,element_2]) ).
cnf(c796,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c308,c33]) ).
cnf(c1228,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[c796,e_2_is_not_e_1]) ).
cnf(c1231,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[c1228,c29]) ).
cnf(c1261,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[c1231,e_1_is_not_e_2]) ).
cnf(c1263,plain,
( product(e_2,e_1,e_4)
| ~ cycle(e_2,e_0)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[c1261,cycle6]) ).
cnf(c1277,plain,
( product(e_2,e_1,e_4)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[c1263,e_3_greater_e_2]) ).
cnf(c1278,plain,
( product(e_2,e_1,e_4)
| cycle(e_2,e_2) ),
inference(resolution,[status(thm)],[c1277,c1111]) ).
cnf(c1281,plain,
( cycle(e_2,e_2)
| ~ cycle(e_2,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[c1278,cycle6]) ).
cnf(c1320,plain,
( cycle(e_2,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[c1281,e_4_greater_e_2]) ).
cnf(c1321,plain,
cycle(e_2,e_2),
inference(resolution,[status(thm)],[c1320,c1111]) ).
cnf(cycle7,axiom,
( ~ cycle(X53,X51)
| ~ product(X53,e_1,X50)
| ~ greater(X51,e_0)
| ~ next(X53,X52)
| equalish(X50,X52) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cycle7) ).
cnf(c1272,plain,
( product(e_2,e_1,e_3)
| ~ cycle(e_2,X384)
| ~ greater(X384,e_0)
| ~ next(e_2,X385)
| equalish(e_4,X385) ),
inference(resolution,[status(thm)],[c1261,cycle7]) ).
cnf(c1370,plain,
( product(e_2,e_1,e_3)
| ~ cycle(e_2,X386)
| ~ greater(X386,e_0)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[c1272,e_2_then_e_3]) ).
cnf(c1374,plain,
( product(e_2,e_1,e_3)
| ~ cycle(e_2,e_2)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[c1370,e_2_greater_e_0]) ).
cnf(c1375,plain,
( product(e_2,e_1,e_3)
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[c1374,c1321]) ).
cnf(c1386,plain,
product(e_2,e_1,e_3),
inference(resolution,[status(thm)],[c1375,e_4_is_not_e_3]) ).
cnf(qg3,negated_conjecture,
( ~ product(X57,X60,X59)
| ~ product(X59,X57,X58)
| product(X58,X57,X60) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(c1323,plain,
cycle(e_3,e_1),
inference(resolution,[status(thm)],[c1321,c651]) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c309,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c40,element_3]) ).
cnf(c829,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[c309,c33]) ).
cnf(c1429,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c829,e_3_is_not_e_1]) ).
cnf(c1438,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4)
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[c1429,c29]) ).
cnf(c1463,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c1438,e_1_is_not_e_3]) ).
cnf(c1468,plain,
( product(e_3,e_1,e_4)
| ~ cycle(e_3,X439)
| ~ greater(X439,e_0)
| ~ next(e_3,X440)
| equalish(e_2,X440) ),
inference(resolution,[status(thm)],[c1463,cycle7]) ).
cnf(c1497,plain,
( product(e_3,e_1,e_4)
| ~ cycle(e_3,X441)
| ~ greater(X441,e_0)
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[c1468,e_3_then_e_4]) ).
cnf(c1499,plain,
( product(e_3,e_1,e_4)
| ~ cycle(e_3,e_1)
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[c1497,e_1_greater_e_0]) ).
cnf(c1502,plain,
( product(e_3,e_1,e_4)
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[c1499,c1323]) ).
cnf(c1513,plain,
product(e_3,e_1,e_4),
inference(resolution,[status(thm)],[c1502,e_2_is_not_e_4]) ).
cnf(c1516,plain,
( ~ product(e_3,X444,e_4)
| equalish(X444,e_1) ),
inference(resolution,[status(thm)],[c1513,product_right_cancellation]) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(c41,plain,
( ~ group_element(X169)
| product(X169,e_2,e_1)
| product(X169,e_2,e_2)
| product(X169,e_2,e_3)
| product(X169,e_2,e_4) ),
inference(resolution,[status(thm)],[product_total_function1,element_2]) ).
cnf(c316,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[c41,element_3]) ).
cnf(c905,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[c316,c33]) ).
cnf(c1736,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[c905,e_3_is_not_e_2]) ).
cnf(c1741,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4)
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[c1736,c29]) ).
cnf(c1762,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[c1741,e_2_is_not_e_3]) ).
cnf(c1767,plain,
( product(e_3,e_2,e_1)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[c1762,c1516]) ).
cnf(c1776,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c1767,e_2_is_not_e_1]) ).
cnf(c1780,plain,
( ~ product(e_2,X578,e_3)
| product(e_1,e_2,X578) ),
inference(resolution,[status(thm)],[c1776,qg3]) ).
cnf(c1787,plain,
product(e_1,e_2,e_1),
inference(resolution,[status(thm)],[c1780,c1386]) ).
cnf(c1789,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c1787,c29]) ).
cnf(c1797,plain,
$false,
inference(resolution,[status(thm)],[c1789,e_2_is_not_e_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP127-3.004 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 03:55:38 EDT 2024
% 0.13/0.36 % CPUTime :
% 2.22/2.44 % Version: 1.5
% 2.22/2.44 % SZS status Unsatisfiable
% 2.22/2.44 % SZS output start CNFRefutation
% See solution above
% 2.22/2.44
% 2.22/2.44 % Initial clauses : 43
% 2.22/2.44 % Processed clauses : 535
% 2.22/2.44 % Factors computed : 8
% 2.22/2.44 % Resolvents computed: 1790
% 2.22/2.44 % Tautologies deleted: 21
% 2.22/2.44 % Forward subsumed : 844
% 2.22/2.44 % Backward subsumed : 332
% 2.22/2.44 % -------- CPU Time ---------
% 2.22/2.44 % User time : 2.060 s
% 2.22/2.44 % System time : 0.018 s
% 2.22/2.44 % Total time : 2.078 s
%------------------------------------------------------------------------------