TSTP Solution File: GRP126-4.004 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : GRP126-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n024.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 11:32:12 EDT 2022
% Result : Unsatisfiable 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
product(e_4,e_4,e_4),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence)]) ).
cnf(g1,plain,
product(e_1,e_1,e_1),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',row_surjectivity)]) ).
cnf(g2,plain,
product(e_2,e_2,e_2),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g3,plain,
product(e_3,e_3,e_3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',row_surjectivity)]) ).
cnf(g4,plain,
~ equalish(e_1,e_3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_1)]) ).
cnf(g5,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_1)
| equalish(e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_1)]) ).
cnf(g6,plain,
( ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_4,e_3)
| product(e_1,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_1)]) ).
cnf(g7,plain,
group_element(e_3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',column_surjectivity)]) ).
cnf(g8,plain,
group_element(e_1),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',column_surjectivity)]) ).
cnf(g9,plain,
group_element(e_4),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g10,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,e_4,e_3)
| product(e_4,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g11,plain,
( ~ group_element(e_4)
| ~ group_element(e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g12,plain,
( ~ product(e_3,e_4,e_4)
| ~ product(e_4,e_4,e_4)
| product(e_4,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g13,plain,
( ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_1)]) ).
cnf(g14,plain,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_1,e_1)
| product(e_1,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g15,plain,
~ equalish(e_4,e_1),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g16,plain,
( ~ product(e_1,e_4,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).
cnf(g17,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_1,e_4)
| product(e_1,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g18,plain,
( ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_1,e_1,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g19,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g20,plain,
( ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_1,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g21,plain,
( ~ product(e_4,e_1,e_4)
| ~ product(e_1,e_4,e_4)
| product(e_1,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_1)]) ).
cnf(g22,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_2,e_4,e_1)
| product(e_1,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g23,plain,
( ~ group_element(e_4)
| ~ group_element(e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g24,plain,
( ~ group_element(e_4)
| ~ group_element(e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g25,plain,
( ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g26,plain,
( ~ product(e_4,e_1,e_4)
| ~ product(e_4,e_4,e_4)
| product(e_1,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_1)]) ).
cnf(g27,plain,
group_element(e_2),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g28,plain,
~ equalish(e_1,e_2),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g29,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g30,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_1,e_2)
| equalish(e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).
cnf(g31,plain,
~ equalish(e_3,e_1),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g32,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).
cnf(g33,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_1,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_1)]) ).
cnf(g34,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_1)
| product(e_1,e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g35,plain,
( ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g36,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_2,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g37,plain,
~ equalish(e_3,e_4),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_1)]) ).
cnf(g38,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_4,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).
cnf(g39,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_3,e_4)
| equalish(e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_1)]) ).
cnf(g40,plain,
( ~ product(e_4,e_1,e_3)
| ~ product(e_1,e_3,e_4)
| product(e_1,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).
cnf(g41,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_4)
| product(e_1,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g42,plain,
( ~ product(e_1,e_4,e_4)
| ~ product(e_4,e_4,e_4)
| product(e_4,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_1)]) ).
cnf(g43,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_4,e_1)
| product(e_1,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g44,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_4,e_2)
| product(e_2,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g45,plain,
( ~ product(e_2,e_4,e_4)
| ~ product(e_4,e_2,e_1)
| product(e_4,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g46,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_2,e_1)
| product(e_3,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_1)]) ).
cnf(g47,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g48,plain,
( ~ group_element(e_4)
| ~ group_element(e_2)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_4,e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g49,plain,
~ equalish(e_4,e_2),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g50,plain,
( ~ product(e_2,e_2,e_4)
| ~ product(e_2,e_2,e_2)
| product(e_4,e_2,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).
cnf(g51,plain,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_2)
| equalish(e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2)]) ).
cnf(g52,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_4,e_2)
| product(e_2,e_2,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).
cnf(g53,plain,
( ~ group_element(e_2)
| ~ group_element(e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g54,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_2,e_1)
| product(e_1,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).
cnf(g55,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_3,e_2)
| product(e_2,e_2,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g56,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_4,e_1,e_2)
| product(e_2,e_2,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g57,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_1,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).
cnf(g58,plain,
( ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_1)]) ).
cnf(g59,plain,
( ~ product(e_1,e_4,e_3)
| ~ product(e_3,e_2,e_4)
| product(e_4,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).
cnf(g60,plain,
( ~ product(e_4,e_4,e_2)
| ~ product(e_4,e_4,e_2)
| product(e_2,e_2,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g61,plain,
~ equalish(e_4,e_3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g62,plain,
( ~ product(e_4,e_4,e_4)
| ~ product(e_4,e_3,e_4)
| equalish(e_4,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4)]) ).
cnf(g63,plain,
( ~ product(e_2,e_4,e_4)
| ~ product(e_4,e_2,e_3)
| product(e_4,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4_2)]) ).
cnf(g64,plain,
( ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_4,e_2)
| product(e_1,e_2,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP126-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : satcop --statistics %s
% 0.12/0.34 % Computer : n024.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 : Tue Jun 14 12:06:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % symbols: 9
% 0.12/0.36 % clauses: 26
% 0.12/0.36 % start clauses: 3
% 0.12/0.36 % iterative deepening steps: 94
% 0.12/0.36 % maximum path limit: 2
% 0.12/0.36 % literal attempts: 15333
% 0.12/0.36 % depth failures: 10680
% 0.12/0.36 % regularity failures: 5
% 0.12/0.36 % tautology failures: 792
% 0.12/0.36 % reductions: 2531
% 0.12/0.36 % extensions: 12599
% 0.12/0.36 % SAT variables: 1167
% 0.12/0.36 % SAT clauses: 6736
% 0.12/0.36 % WalkSAT solutions: 6712
% 0.12/0.36 % CDCL solutions: 0
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.36 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------