TSTP Solution File: GRP129-2.004 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : GRP129-2.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n023.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 11:32:17 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
group_element(e_4),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4)]) ).
cnf(g1,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(g2,plain,
group_element(e_1),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1)]) ).
cnf(g3,plain,
( ~ product(e_1,e_4,e_4)
| ~ product(e_4,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g4,plain,
( ~ group_element(e_4)
| ~ group_element(e_4)
| product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g5,plain,
group_element(e_2),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2)]) ).
cnf(g6,plain,
( ~ group_element(e_3)
| ~ group_element(e_2)
| 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(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g7,plain,
group_element(e_3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3)]) ).
cnf(g8,plain,
( ~ group_element(e_4)
| ~ group_element(e_3)
| 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(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g9,plain,
( ~ product(e_3,e_2,e_3)
| ~ product(e_2,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g10,plain,
( ~ group_element(e_2)
| ~ group_element(e_3)
| 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(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g11,plain,
( ~ product(e_3,e_2,e_3)
| ~ product(e_2,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g12,plain,
( ~ product(e_3,e_2,e_3)
| ~ product(e_2,e_3,e_3)
| product(e_3,e_3,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g13,plain,
( ~ group_element(e_4)
| ~ group_element(e_2)
| 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(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g14,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g15,plain,
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g16,plain,
( ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g17,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_3,e_4,e_3)
| product(e_4,e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g18,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g19,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g20,plain,
( ~ group_element(e_2)
| ~ group_element(e_1)
| 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(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g21,plain,
( ~ group_element(e_3)
| ~ group_element(e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g22,plain,
greater(e_3,e_2),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2)]) ).
cnf(g23,plain,
( ~ next(e_1,e_2)
| ~ greater(e_3,e_2)
| ~ product(e_1,e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy)]) ).
cnf(g24,plain,
next(e_1,e_2),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2)]) ).
cnf(g25,plain,
( ~ product(e_1,e_4,e_1)
| ~ product(e_4,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g26,plain,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g27,plain,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_1)
| product(e_4,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g28,plain,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_4)
| product(e_4,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g29,plain,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_3)
| product(e_4,e_3,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g30,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',product_total_function1)]) ).
cnf(g31,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_4,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g32,plain,
( ~ product(e_4,e_4,e_2)
| ~ product(e_4,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g33,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g34,plain,
( ~ product(e_2,e_4,e_2)
| ~ product(e_4,e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g35,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',product_total_function1)]) ).
cnf(g36,plain,
( ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_4,e_4)
| product(e_4,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g37,plain,
( ~ group_element(e_3)
| ~ group_element(e_1)
| 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(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1)]) ).
cnf(g38,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g39,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g40,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g41,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g42,plain,
( ~ product(e_4,e_1,e_4)
| ~ product(e_1,e_4,e_4)
| product(e_4,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g43,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g44,plain,
( ~ product(e_4,e_2,e_4)
| ~ product(e_2,e_4,e_4)
| product(e_4,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g45,plain,
( ~ product(e_2,e_2,e_4)
| ~ product(e_2,e_4,e_4)
| product(e_4,e_2,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g46,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_4,e_4)
| product(e_4,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g47,plain,
( ~ product(e_4,e_4,e_3)
| ~ product(e_4,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g48,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g49,plain,
( ~ product(e_3,e_4,e_3)
| ~ product(e_4,e_3,e_1)
| product(e_3,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g50,plain,
( ~ product(e_1,e_4,e_3)
| ~ product(e_4,e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g51,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_1,e_3)
| product(e_1,e_3,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g52,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_2,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g53,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_3,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g54,plain,
( ~ product(e_3,e_4,e_3)
| ~ product(e_4,e_3,e_3)
| product(e_3,e_3,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g55,plain,
( ~ product(e_1,e_4,e_4)
| ~ product(e_4,e_4,e_2)
| product(e_4,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g56,plain,
( ~ product(e_1,e_4,e_1)
| ~ product(e_4,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g57,plain,
( ~ product(e_4,e_1,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_left_cancellation)]) ).
cnf(g58,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g59,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_3,e_2)
| product(e_3,e_2,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g60,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g61,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g62,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_2,e_2)
| product(e_2,e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g63,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g64,plain,
( ~ product(e_3,e_3,e_2)
| ~ product(e_3,e_2,e_2)
| product(e_2,e_3,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g65,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_3,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g66,plain,
( ~ product(e_4,e_4,e_1)
| ~ product(e_4,e_1,e_4)
| product(e_1,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g67,plain,
( ~ product(e_4,e_4,e_1)
| ~ product(e_4,e_1,e_1)
| product(e_1,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g68,plain,
( ~ product(e_4,e_4,e_1)
| ~ product(e_4,e_1,e_2)
| product(e_1,e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g69,plain,
( ~ product(e_3,e_2,e_2)
| ~ product(e_2,e_2,e_2)
| product(e_2,e_3,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g70,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g71,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g72,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g73,plain,
( ~ product(e_2,e_2,e_3)
| ~ product(e_2,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g74,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_3)
| product(e_2,e_3,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g75,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_3,e_4,e_4)
| product(e_4,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g76,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_3,e_4,e_3)
| product(e_4,e_3,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g77,plain,
( ~ product(e_4,e_3,e_3)
| ~ product(e_3,e_3,e_4)
| product(e_3,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g78,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_1,e_1)
| product(e_1,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g79,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g80,plain,
( ~ product(e_3,e_3,e_2)
| ~ product(e_3,e_2,e_3)
| product(e_2,e_3,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g81,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_3,e_3,e_2)
| equalish(e_2,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).
cnf(g82,plain,
( ~ product(e_4,e_2,e_4)
| ~ product(e_2,e_4,e_1)
| product(e_4,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g83,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g84,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_2,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g85,plain,
( ~ product(e_1,e_4,e_1)
| ~ product(e_4,e_1,e_4)
| product(e_1,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g86,plain,
( ~ product(e_1,e_4,e_1)
| ~ product(e_4,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g87,plain,
( ~ product(e_4,e_2,e_4)
| ~ product(e_2,e_4,e_3)
| product(e_4,e_4,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g88,plain,
( ~ product(e_4,e_2,e_4)
| ~ product(e_2,e_4,e_2)
| product(e_4,e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g89,plain,
( ~ product(e_4,e_4,e_2)
| ~ product(e_4,e_2,e_4)
| product(e_2,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g90,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_4,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g91,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_1,e_2)
| product(e_1,e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g92,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_1,e_1)
| product(e_1,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g93,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_1,e_3)
| product(e_1,e_4,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g94,plain,
( ~ product(e_2,e_4,e_2)
| ~ product(e_4,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g95,plain,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g96,plain,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_4)
| product(e_2,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g97,plain,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g98,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_4,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g99,plain,
next(e_2,e_3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3)]) ).
cnf(g100,plain,
( ~ next(e_2,e_3)
| ~ greater(e_4,e_3)
| ~ product(e_2,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy)]) ).
cnf(g101,plain,
greater(e_4,e_3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3)]) ).
cnf(g102,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g103,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g104,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_1,e_2)
| product(e_1,e_3,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g105,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_1,e_1)
| product(e_1,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g106,plain,
( ~ next(e_1,e_2)
| ~ greater(e_4,e_2)
| ~ product(e_1,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy)]) ).
cnf(g107,plain,
greater(e_4,e_2),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_2)]) ).
cnf(g108,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_4)
| product(e_2,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g109,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_4,e_2)
| product(e_4,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g110,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_4,e_3)
| product(e_4,e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g111,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g112,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g113,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g114,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g115,plain,
( ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_4,e_1)
| product(e_4,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g116,plain,
( ~ product(e_4,e_3,e_1)
| ~ product(e_3,e_1,e_4)
| product(e_1,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g117,plain,
( ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g118,plain,
( ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_4,e_3)
| product(e_4,e_3,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g119,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_3,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g120,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| product(e_1,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g121,plain,
( ~ product(e_1,e_4,e_3)
| ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g122,plain,
( ~ product(e_1,e_4,e_3)
| ~ product(e_4,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g123,plain,
( ~ product(e_1,e_4,e_3)
| ~ product(e_4,e_3,e_3)
| product(e_3,e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g124,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_4,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g125,plain,
( ~ product(e_3,e_4,e_1)
| ~ product(e_4,e_1,e_2)
| product(e_1,e_3,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g126,plain,
( ~ product(e_3,e_4,e_1)
| ~ product(e_4,e_1,e_1)
| product(e_1,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g127,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_3,e_4,e_1)
| product(e_4,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g128,plain,
( ~ product(e_3,e_4,e_1)
| ~ product(e_4,e_1,e_4)
| product(e_1,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g129,plain,
( ~ product(e_3,e_4,e_1)
| ~ product(e_4,e_1,e_3)
| product(e_1,e_3,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g130,plain,
( ~ product(e_4,e_3,e_4)
| ~ product(e_3,e_4,e_4)
| product(e_4,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g131,plain,
( ~ product(e_4,e_4,e_3)
| ~ product(e_4,e_3,e_4)
| product(e_3,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g132,plain,
( ~ product(e_4,e_3,e_4)
| ~ product(e_4,e_4,e_4)
| equalish(e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).
cnf(g133,plain,
( ~ product(e_4,e_3,e_1)
| ~ product(e_3,e_1,e_2)
| product(e_1,e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g134,plain,
( ~ product(e_4,e_3,e_1)
| ~ product(e_3,e_1,e_3)
| product(e_1,e_4,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g135,plain,
( ~ product(e_4,e_3,e_1)
| ~ product(e_3,e_1,e_1)
| product(e_1,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g136,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_4)
| product(e_1,e_2,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g137,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g138,plain,
( ~ product(e_4,e_1,e_1)
| ~ product(e_1,e_1,e_2)
| product(e_1,e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g139,plain,
( ~ product(e_3,e_4,e_4)
| ~ product(e_4,e_4,e_1)
| product(e_4,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g140,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',qg3)]) ).
cnf(g141,plain,
( ~ product(e_3,e_4,e_3)
| ~ product(e_4,e_3,e_4)
| product(e_3,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g142,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_3,e_1,e_4)
| product(e_1,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g143,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',product_right_cancellation)]) ).
cnf(g144,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g145,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g146,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_4)
| product(e_3,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g147,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_3)
| product(e_3,e_4,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g148,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g149,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_2)
| product(e_3,e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g150,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g151,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_2)
| product(e_3,e_2,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g152,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_1,e_3,e_3)
| product(e_3,e_3,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g153,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).
cnf(g154,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g155,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g156,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_1,e_2)
| product(e_1,e_3,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g157,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_4,e_3)
| equalish(e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).
cnf(g158,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_4,e_3,e_3)
| equalish(e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).
cnf(g159,plain,
~ equalish(e_3,e_4),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4)]) ).
cnf(g160,plain,
( ~ product(e_3,e_3,e_2)
| ~ product(e_3,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g161,plain,
( ~ product(e_3,e_3,e_2)
| ~ product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g162,plain,
( ~ product(e_4,e_4,e_3)
| ~ product(e_4,e_3,e_3)
| product(e_3,e_4,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g163,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g164,plain,
( ~ product(e_4,e_4,e_2)
| ~ product(e_4,e_2,e_2)
| product(e_2,e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g165,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',product_left_cancellation)]) ).
cnf(g166,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_2,e_2)
| product(e_2,e_3,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g167,plain,
( ~ product(e_2,e_2,e_3)
| ~ product(e_2,e_3,e_2)
| product(e_3,e_2,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g168,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_2)
| equalish(e_2,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).
cnf(g169,plain,
~ equalish(e_2,e_3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3)]) ).
cnf(g170,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g171,plain,
( ~ product(e_4,e_4,e_2)
| ~ product(e_4,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g172,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g173,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g174,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g175,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_2)
| product(e_4,e_2,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g176,plain,
( ~ product(e_3,e_4,e_3)
| ~ product(e_4,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g177,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_2)
| product(e_2,e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g178,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g179,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g180,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_4)
| product(e_2,e_2,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g181,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g182,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_3)
| product(e_3,e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g183,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_3)
| product(e_2,e_2,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g184,plain,
( ~ product(e_3,e_2,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_2,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation)]) ).
cnf(g185,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_1)
| product(e_4,e_2,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g186,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_4)
| product(e_4,e_2,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g187,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_1,e_4)
| product(e_1,e_3,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g188,plain,
~ equalish(e_1,e_3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3)]) ).
cnf(g189,plain,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_1,e_3)
| product(e_1,e_2,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g190,plain,
( ~ product(e_4,e_1,e_3)
| ~ product(e_1,e_3,e_2)
| product(e_3,e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g191,plain,
( ~ product(e_4,e_1,e_3)
| ~ product(e_1,e_3,e_4)
| product(e_3,e_4,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g192,plain,
( ~ product(e_4,e_1,e_3)
| ~ product(e_1,e_3,e_3)
| product(e_3,e_4,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g193,plain,
( ~ product(e_3,e_4,e_4)
| ~ product(e_4,e_4,e_3)
| product(e_4,e_3,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g194,plain,
( ~ product(e_3,e_4,e_4)
| ~ product(e_4,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g195,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g196,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g197,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g198,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_3,e_4,e_4)
| product(e_4,e_1,e_4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g199,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(e_1,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).
cnf(g200,plain,
( ~ product(e_4,e_1,e_4)
| ~ product(e_1,e_4,e_2)
| product(e_4,e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g201,plain,
( ~ product(e_4,e_1,e_4)
| ~ product(e_1,e_4,e_3)
| product(e_4,e_4,e_3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3)]) ).
cnf(g202,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_1,e_2)
| equalish(e_4,e_1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation)]) ).
cnf(g203,plain,
~ equalish(e_4,e_1),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1)]) ).
cnf(g204,plain,
( ~ product(e_4,e_1,e_4)
| ~ product(e_4,e_1,e_2)
| equalish(e_4,e_2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2)]) ).
cnf(g205,plain,
~ equalish(e_4,e_2),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP129-2.004 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 08:56:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.37 % symbols: 11
% 0.12/0.37 % clauses: 31
% 0.12/0.37 % start clauses: 1
% 0.12/0.37 % iterative deepening steps: 568
% 0.12/0.37 % maximum path limit: 4
% 0.12/0.37 % literal attempts: 57548
% 0.12/0.37 % depth failures: 23686
% 0.12/0.37 % regularity failures: 14
% 0.12/0.37 % tautology failures: 1113
% 0.12/0.37 % reductions: 18625
% 0.12/0.37 % extensions: 38516
% 0.12/0.37 % SAT variables: 1477
% 0.12/0.37 % SAT clauses: 9583
% 0.12/0.37 % WalkSAT solutions: 9569
% 0.12/0.37 % CDCL solutions: 6
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------