TSTP Solution File: GRP124-3.004 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP124-3.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 : 600s
% DateTime : Sat Jul 16 11:21:48 EDT 2022
% Result : Unsatisfiable 5.97s 6.14s
% Output : Refutation 5.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
input ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
input ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
input ).
cnf(product_idempotence,axiom,
product(X2,X2,X2),
input ).
cnf(qg2_2,negated_conjecture,
( ~ product(X69,X71,X74)
| ~ product(X72,X70,X74)
| ~ product(X73,X69,X71)
| ~ product(X73,X72,X70)
| equalish(X71,X70) ),
input ).
cnf(c47,plain,
( ~ product(X77,X75,X78)
| ~ product(X76,X76,X78)
| ~ product(X76,X77,X75)
| equalish(X75,X76) ),
inference(resolution,status(thm),[qg2_2,product_idempotence]) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
input ).
cnf(product_left_cancellation,axiom,
( ~ product(X32,X33,X35)
| ~ product(X34,X33,X35)
| equalish(X32,X34) ),
input ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
input ).
cnf(product_right_cancellation,axiom,
( ~ product(X20,X22,X21)
| ~ product(X20,X23,X21)
| equalish(X22,X23) ),
input ).
cnf(c12,plain,
( ~ product(X29,X30,X29)
| equalish(X30,X29) ),
inference(resolution,status(thm),[product_right_cancellation,product_idempotence]) ).
cnf(c24,plain,
( ~ product(X36,X37,X37)
| equalish(X36,X37) ),
inference(resolution,status(thm),[product_left_cancellation,product_idempotence]) ).
cnf(element_3,axiom,
group_element(e_3),
input ).
cnf(element_2,axiom,
group_element(e_2),
input ).
cnf(product_total_function1,axiom,
( ~ group_element(X48)
| ~ group_element(X49)
| product(X48,X49,e_1)
| product(X48,X49,e_2)
| product(X48,X49,e_3)
| product(X48,X49,e_4) ),
input ).
cnf(c33,plain,
( ~ group_element(X158)
| product(X158,e_2,e_1)
| product(X158,e_2,e_2)
| product(X158,e_2,e_3)
| product(X158,e_2,e_4) ),
inference(resolution,status(thm),[product_total_function1,element_2]) ).
cnf(c274,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),[c33,element_3]) ).
cnf(c797,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),[c274,c24]) ).
cnf(c1349,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),[c797,e_3_is_not_e_2]) ).
cnf(c1362,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c1349,c12]) ).
cnf(c1386,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(resolution,status(thm),[c1362,e_2_is_not_e_3]) ).
cnf(c1388,plain,
( product(e_3,e_2,e_4)
| ~ product(X303,e_2,e_1)
| equalish(X303,e_3) ),
inference(resolution,status(thm),[c1386,product_left_cancellation]) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
input ).
cnf(element_4,axiom,
group_element(e_4),
input ).
cnf(c275,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(resolution,status(thm),[c33,element_4]) ).
cnf(c828,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| equalish(e_4,e_2) ),
inference(resolution,status(thm),[c275,c24]) ).
cnf(c1473,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(resolution,status(thm),[c828,e_4_is_not_e_2]) ).
cnf(c1497,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3)
| equalish(e_2,e_4) ),
inference(resolution,status(thm),[c1473,c12]) ).
cnf(c1513,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(resolution,status(thm),[c1497,e_2_is_not_e_4]) ).
cnf(c1518,plain,
( product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c1513,c1388]) ).
cnf(c1568,plain,
( product(e_4,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(resolution,status(thm),[c1518,e_4_is_not_e_3]) ).
cnf(c1571,plain,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_3,X413)
| ~ product(e_4,e_4,X413)
| equalish(e_3,e_4) ),
inference(resolution,status(thm),[c1568,c47]) ).
cnf(c1647,plain,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_4)
| equalish(e_3,e_4) ),
inference(resolution,status(thm),[c1571,product_idempotence]) ).
cnf(c34,plain,
( ~ group_element(X161)
| product(X161,e_3,e_1)
| product(X161,e_3,e_2)
| product(X161,e_3,e_3)
| product(X161,e_3,e_4) ),
inference(resolution,status(thm),[product_total_function1,element_3]) ).
cnf(c282,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(resolution,status(thm),[c34,element_2]) ).
cnf(c888,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c282,c12]) ).
cnf(c2492,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(resolution,status(thm),[c888,e_3_is_not_e_2]) ).
cnf(c2509,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c2492,c24]) ).
cnf(c2560,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(resolution,status(thm),[c2509,e_2_is_not_e_3]) ).
cnf(c2576,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| equalish(e_3,e_4) ),
inference(resolution,status(thm),[c2560,c1647]) ).
cnf(c2766,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(resolution,status(thm),[c2576,e_3_is_not_e_4]) ).
cnf(c284,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(resolution,status(thm),[c34,element_4]) ).
cnf(c927,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_4)
| equalish(e_4,e_3) ),
inference(resolution,status(thm),[c284,c24]) ).
cnf(c3663,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_4) ),
inference(resolution,status(thm),[c927,e_4_is_not_e_3]) ).
cnf(c4299,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(e_3,e_4) ),
inference(resolution,status(thm),[c3663,c12]) ).
cnf(c4371,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(resolution,status(thm),[c4299,e_3_is_not_e_4]) ).
cnf(c4376,plain,
( product(e_4,e_3,e_2)
| ~ product(X776,e_3,e_1)
| equalish(X776,e_4) ),
inference(resolution,status(thm),[c4371,product_left_cancellation]) ).
cnf(qg2_1,negated_conjecture,
( ~ product(X55,X57,X60)
| ~ product(X58,X56,X60)
| ~ product(X59,X55,X57)
| ~ product(X59,X58,X56)
| equalish(X55,X58) ),
input ).
cnf(c41,plain,
( ~ product(X61,X63,X64)
| ~ product(X62,X62,X64)
| ~ product(X62,X61,X63)
| equalish(X61,X62) ),
inference(resolution,status(thm),[qg2_1,product_idempotence]) ).
cnf(c1511,plain,
( product(e_4,e_2,e_1)
| equalish(e_2,e_4)
| ~ product(e_2,e_3,X399)
| ~ product(e_4,e_4,X399) ),
inference(resolution,status(thm),[c1497,c41]) ).
cnf(c1615,plain,
( product(e_4,e_2,e_1)
| equalish(e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,status(thm),[c1511,product_idempotence]) ).
cnf(c2582,plain,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| equalish(e_2,e_4) ),
inference(resolution,status(thm),[c2560,c1615]) ).
cnf(c2888,plain,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(resolution,status(thm),[c2582,e_2_is_not_e_4]) ).
cnf(c2930,plain,
( product(e_2,e_3,e_1)
| ~ product(e_4,X649,e_1)
| equalish(X649,e_2) ),
inference(resolution,status(thm),[c2888,product_right_cancellation]) ).
cnf(c4374,plain,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_1)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c4371,c2930]) ).
cnf(c4672,plain,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,status(thm),[c4374,e_3_is_not_e_2]) ).
cnf(c4704,plain,
( product(e_4,e_3,e_2)
| equalish(e_2,e_4) ),
inference(resolution,status(thm),[c4672,c4376]) ).
cnf(c4765,plain,
( equalish(e_2,e_4)
| ~ product(e_3,e_2,X815)
| ~ product(e_4,e_4,X815) ),
inference(resolution,status(thm),[c4704,c47]) ).
cnf(c4900,plain,
( equalish(e_2,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(resolution,status(thm),[c4765,product_idempotence]) ).
cnf(c4903,plain,
( equalish(e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(resolution,status(thm),[c4900,c2766]) ).
cnf(c5100,plain,
product(e_2,e_3,e_1),
inference(resolution,status(thm),[c4903,e_2_is_not_e_4]) ).
cnf(c4904,plain,
( equalish(e_2,e_4)
| product(e_3,e_2,e_1) ),
inference(resolution,status(thm),[c4900,c1386]) ).
cnf(c5177,plain,
product(e_3,e_2,e_1),
inference(resolution,status(thm),[c4904,e_2_is_not_e_4]) ).
cnf(c4901,plain,
( equalish(e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(resolution,status(thm),[c4900,c1568]) ).
cnf(c4905,plain,
product(e_4,e_2,e_3),
inference(resolution,status(thm),[c4901,e_2_is_not_e_4]) ).
cnf(c4771,plain,
product(e_4,e_3,e_2),
inference(resolution,status(thm),[c4704,e_2_is_not_e_4]) ).
cnf(c4772,plain,
( ~ product(X938,X937,X939)
| ~ product(e_3,e_2,X939)
| ~ product(e_4,X938,X937)
| equalish(X937,e_2) ),
inference(resolution,status(thm),[c4771,qg2_2]) ).
cnf(c5823,plain,
( ~ product(e_2,e_3,X941)
| ~ product(e_3,e_2,X941)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c4772,c4905]) ).
cnf(c5829,plain,
( ~ product(e_2,e_3,e_1)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c5823,c5177]) ).
cnf(c5837,plain,
equalish(e_3,e_2),
inference(resolution,status(thm),[c5829,c5100]) ).
cnf(c5838,plain,
$false,
inference(resolution,status(thm),[c5837,e_3_is_not_e_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP124-3.004 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 09:43:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.97/6.14 # Version: 1.3
% 5.97/6.14 # SZS status Unsatisfiable
% 5.97/6.14 # SZS output start CNFRefutation
% See solution above
% 5.97/6.14
% 5.97/6.14 # Initial clauses : 44
% 5.97/6.14 # Processed clauses : 808
% 5.97/6.14 # Factors computed : 0
% 5.97/6.14 # Resolvents computed: 5839
% 5.97/6.14 # Tautologies deleted: 20
% 5.97/6.14 # Forward subsumed : 1622
% 5.97/6.14 # Backward subsumed : 381
% 5.97/6.14 # -------- CPU Time ---------
% 5.97/6.14 # User time : 5.770 s
% 5.97/6.14 # System time : 0.028 s
% 5.97/6.14 # Total time : 5.798 s
%------------------------------------------------------------------------------