TSTP Solution File: GRP130-2.003 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP130-2.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 11:22:04 EDT 2022
% Result : Unsatisfiable 1.40s 1.56s
% Output : Refutation 1.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
input ).
cnf(product_total_function2,axiom,
( ~ product(X5,X8,X7)
| ~ product(X5,X8,X6)
| equalish(X7,X6) ),
input ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
input ).
cnf(product_left_cancellation,axiom,
( ~ product(X15,X18,X16)
| ~ product(X17,X18,X16)
| equalish(X15,X17) ),
input ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
input ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
input ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
input ).
cnf(no_redundancy,axiom,
( ~ product(X2,e_1,X4)
| ~ next(X2,X3)
| ~ greater(X4,X3) ),
input ).
cnf(element_1,axiom,
group_element(e_1),
input ).
cnf(product_total_function1,axiom,
( ~ group_element(X13)
| ~ group_element(X14)
| product(X13,X14,e_1)
| product(X13,X14,e_2)
| product(X13,X14,e_3) ),
input ).
cnf(c1,plain,
( ~ group_element(X24)
| product(X24,e_1,e_1)
| product(X24,e_1,e_2)
| product(X24,e_1,e_3) ),
inference(resolution,status(thm),[product_total_function1,element_1]) ).
cnf(c7,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(resolution,status(thm),[c1,element_1]) ).
cnf(c75,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ next(e_1,X33)
| ~ greater(e_3,X33) ),
inference(resolution,status(thm),[c7,no_redundancy]) ).
cnf(c151,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ next(e_1,e_2) ),
inference(resolution,status(thm),[c75,e_3_greater_e_2]) ).
cnf(c152,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,status(thm),[c151,e_1_then_e_2]) ).
cnf(c165,plain,
( product(e_1,e_1,e_1)
| ~ product(X55,e_1,e_2)
| equalish(X55,e_1) ),
inference(resolution,status(thm),[c152,product_left_cancellation]) ).
cnf(element_3,axiom,
group_element(e_3),
input ).
cnf(c6,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,status(thm),[c1,element_3]) ).
cnf(qg3,negated_conjecture,
( ~ product(X19,X22,X21)
| ~ product(X19,X21,X20)
| product(X20,X22,X19) ),
input ).
cnf(c48,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,X120,e_1)
| product(e_1,X120,e_3) ),
inference(resolution,status(thm),[c6,qg3]) ).
cnf(c806,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,status(thm),[c48,c6]) ).
cnf(c835,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ next(e_1,X216)
| ~ greater(e_3,X216) ),
inference(resolution,status(thm),[c806,no_redundancy]) ).
cnf(c884,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ next(e_1,e_2) ),
inference(resolution,status(thm),[c835,e_3_greater_e_2]) ).
cnf(c885,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,status(thm),[c884,e_1_then_e_2]) ).
cnf(c893,plain,
( product(e_3,e_1,e_3)
| product(e_1,e_1,e_1)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c885,c165]) ).
cnf(c968,plain,
( product(e_3,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,status(thm),[c893,e_3_is_not_e_1]) ).
cnf(c974,plain,
( product(e_1,e_1,e_1)
| ~ product(e_3,e_1,X234)
| equalish(X234,e_3) ),
inference(resolution,status(thm),[c968,product_total_function2]) ).
cnf(c905,plain,
( product(e_3,e_1,e_2)
| ~ product(X226,e_1,e_3)
| equalish(X226,e_3) ),
inference(resolution,status(thm),[c885,product_left_cancellation]) ).
cnf(product_right_cancellation,axiom,
( ~ product(X9,X11,X12)
| ~ product(X9,X10,X12)
| equalish(X11,X10) ),
input ).
cnf(c908,plain,
( product(e_3,e_1,e_2)
| ~ product(e_3,X228,e_3)
| equalish(X228,e_1) ),
inference(resolution,status(thm),[c885,product_right_cancellation]) ).
cnf(c0,plain,
( ~ group_element(X23)
| product(X23,e_3,e_1)
| product(X23,e_3,e_2)
| product(X23,e_3,e_3) ),
inference(resolution,status(thm),[product_total_function1,element_3]) ).
cnf(c3,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,status(thm),[c0,element_3]) ).
cnf(c897,plain,
( product(e_3,e_1,e_2)
| ~ product(e_3,X243,e_1)
| product(e_3,X243,e_3) ),
inference(resolution,status(thm),[c885,qg3]) ).
cnf(c1031,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(resolution,status(thm),[c897,c3]) ).
cnf(c1123,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_2)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c1031,c908]) ).
cnf(c1173,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_2) ),
inference(resolution,status(thm),[c1123,e_3_is_not_e_1]) ).
cnf(c1191,plain,
( product(e_3,e_1,e_2)
| ~ product(e_3,X279,e_3)
| product(e_2,X279,e_3) ),
inference(resolution,status(thm),[c1173,qg3]) ).
cnf(c1382,plain,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c1191,c885]) ).
cnf(c1417,plain,
( product(e_3,e_1,e_2)
| equalish(e_2,e_3) ),
inference(resolution,status(thm),[c1382,c905]) ).
cnf(c1428,plain,
( equalish(e_2,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,status(thm),[c1417,c974]) ).
cnf(c1493,plain,
product(e_1,e_1,e_1),
inference(resolution,status(thm),[c1428,e_2_is_not_e_3]) ).
cnf(c1527,plain,
( ~ product(X291,e_1,e_1)
| equalish(X291,e_1) ),
inference(resolution,status(thm),[c1493,product_left_cancellation]) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
input ).
cnf(element_2,axiom,
group_element(e_2),
input ).
cnf(c8,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,status(thm),[c1,element_2]) ).
cnf(c87,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| ~ product(X242,e_1,e_2)
| equalish(X242,e_2) ),
inference(resolution,status(thm),[c8,product_left_cancellation]) ).
cnf(c1387,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_1)
| equalish(e_3,e_2) ),
inference(resolution,status(thm),[c1382,c87]) ).
cnf(c1716,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_1) ),
inference(resolution,status(thm),[c1387,e_3_is_not_e_2]) ).
cnf(c1742,plain,
( product(e_2,e_1,e_3)
| equalish(e_2,e_1) ),
inference(resolution,status(thm),[c1716,c1527]) ).
cnf(c1759,plain,
product(e_2,e_1,e_3),
inference(resolution,status(thm),[c1742,e_2_is_not_e_1]) ).
cnf(c1765,plain,
( ~ product(e_2,e_1,X335)
| equalish(X335,e_3) ),
inference(resolution,status(thm),[c1759,product_total_function2]) ).
cnf(c1445,plain,
product(e_3,e_1,e_2),
inference(resolution,status(thm),[c1417,e_2_is_not_e_3]) ).
cnf(c1464,plain,
( ~ product(e_3,X284,e_2)
| equalish(X284,e_1) ),
inference(resolution,status(thm),[c1445,product_right_cancellation]) ).
cnf(c5,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(resolution,status(thm),[c0,element_2]) ).
cnf(c44,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| ~ product(e_2,X108,e_3)
| product(e_3,X108,e_2) ),
inference(resolution,status(thm),[c5,qg3]) ).
cnf(c710,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(resolution,status(thm),[c44,c5]) ).
cnf(c1764,plain,
( ~ product(e_2,X338,e_1)
| product(e_3,X338,e_2) ),
inference(resolution,status(thm),[c1759,qg3]) ).
cnf(c1780,plain,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_2) ),
inference(resolution,status(thm),[c1764,c710]) ).
cnf(c1791,plain,
( product(e_2,e_3,e_2)
| equalish(e_3,e_1) ),
inference(resolution,status(thm),[c1780,c1464]) ).
cnf(c1827,plain,
product(e_2,e_3,e_2),
inference(resolution,status(thm),[c1791,e_3_is_not_e_1]) ).
cnf(c1831,plain,
( ~ product(e_2,X343,e_3)
| product(e_2,X343,e_2) ),
inference(resolution,status(thm),[c1827,qg3]) ).
cnf(c1849,plain,
product(e_2,e_1,e_2),
inference(resolution,status(thm),[c1831,c1759]) ).
cnf(c1850,plain,
equalish(e_2,e_3),
inference(resolution,status(thm),[c1849,c1765]) ).
cnf(c1861,plain,
$false,
inference(resolution,status(thm),[c1850,e_2_is_not_e_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : GRP130-2.003 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 06:13:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.40/1.56 # Version: 1.3
% 1.40/1.56 # SZS status Unsatisfiable
% 1.40/1.56 # SZS output start CNFRefutation
% See solution above
% 1.40/1.56
% 1.40/1.56 # Initial clauses : 20
% 1.40/1.56 # Processed clauses : 297
% 1.40/1.56 # Factors computed : 0
% 1.40/1.56 # Resolvents computed: 1862
% 1.40/1.56 # Tautologies deleted: 11
% 1.40/1.56 # Forward subsumed : 414
% 1.40/1.56 # Backward subsumed : 179
% 1.40/1.56 # -------- CPU Time ---------
% 1.40/1.56 # User time : 1.212 s
% 1.40/1.56 # System time : 0.012 s
% 1.40/1.56 # Total time : 1.224 s
%------------------------------------------------------------------------------