%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP056-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:41:40 PM UTC 2026
% Result : Unsatisfiable 0.22s 15.70s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 2
% Syntax : Number of clauses : 70 ( 65 unt; 0 nHn; 7 RR)
% Number of literals : 78 ( 77 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 164 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_0_2,axiom,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3))) = X2,
single_axiom ).
cnf(c_0_3,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X3)))),multiply(X4,inverse(X3))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X3)))),multiply(X4,inverse(X3))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_5,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X1,inverse(X3))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_6,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,inverse(X4))))) = multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(multiply(X3,inverse(X4))))),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(X3))),
inference(spm,[status(thm)],[c_0_6,c_0_2]) ).
cnf(c_0_8,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(X3,inverse(X4)))))),multiply(X1,inverse(multiply(X3,inverse(X4)))))),inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(X4))))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_9,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(X3,inverse(multiply(inverse(X4),X4))))))),multiply(X1,inverse(multiply(X3,inverse(multiply(inverse(X4),X4))))))),inverse(multiply(inverse(X5),X5))) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_2]) ).
cnf(c_0_10,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),X4))) = X2,
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_11,plain,
multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3)))),inverse(multiply(inverse(X3),X3))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_12,plain,
multiply(inverse(X1),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X1),inverse(multiply(inverse(X3),X3))),
inference(spm,[status(thm)],[c_0_10,c_0_5]) ).
cnf(c_0_13,plain,
multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(a1),a1))) = multiply(inverse(X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_10]),c_0_12]) ).
cnf(c_0_14,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_13,c_0_13]) ).
cnf(c_0_15,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),X3)))),multiply(X1,inverse(X3))) = inverse(multiply(inverse(X3),X3)),
inference(spm,[status(thm)],[c_0_5,c_0_14]) ).
cnf(c_0_16,plain,
multiply(inverse(X1),X1) = inverse(multiply(inverse(a1),a1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_10]),c_0_10]),c_0_14]) ).
cnf(c_0_17,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_18,plain,
multiply(inverse(X1),X1) = inverse(multiply(inverse(X2),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_19,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X3)),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))) = X4,
inference(spm,[status(thm)],[c_0_2,c_0_11]) ).
cnf(c_0_20,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)),inverse(multiply(inverse(a1),a1))) = X4,
inference(rw,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_21,plain,
multiply(inverse(multiply(inverse(inverse(X1)),inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(a1),a1))),X1)))),multiply(inverse(X3),X3)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_14]),c_0_18]) ).
cnf(c_0_22,plain,
multiply(inverse(multiply(inverse(inverse(X1)),inverse(X2))),multiply(inverse(X3),X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(X1))),
inference(spm,[status(thm)],[c_0_7,c_0_14]) ).
cnf(c_0_23,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X3)),inverse(multiply(inverse(a1),a1))) = X4,
inference(rw,[status(thm)],[c_0_19,c_0_12]) ).
cnf(c_0_24,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X2)),multiply(inverse(a1),a1)) = X4,
inference(rw,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_25,plain,
multiply(inverse(multiply(X1,inverse(multiply(multiply(inverse(a1),a1),X2)))),multiply(X1,inverse(X2))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_18]),c_0_18]) ).
cnf(c_0_26,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3)))),multiply(inverse(a1),a1)) = X2,
inference(rw,[status(thm)],[c_0_10,c_0_18]) ).
cnf(c_0_27,plain,
multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X2)) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_18]),c_0_18]) ).
cnf(c_0_28,plain,
multiply(multiply(inverse(a1),a1),multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(a1),a1))),X2))),inverse(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_14]),c_0_18]),c_0_18]) ).
cnf(c_0_29,plain,
multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(a1),a1))),X2)))),multiply(a1,inverse(X2))) = X1,
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,inverse(X3)))),inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),X3)),multiply(inverse(a1),a1)) = X4,
inference(rw,[status(thm)],[c_0_23,c_0_16]) ).
cnf(c_0_31,plain,
multiply(inverse(inverse(X1)),inverse(multiply(multiply(inverse(a1),a1),X1))) = multiply(inverse(a1),a1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_18]),c_0_26]),c_0_18]),c_0_27]) ).
cnf(c_0_32,plain,
multiply(multiply(inverse(a1),a1),multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(X1),multiply(inverse(a1),a1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_14]),c_0_18]),c_0_18]) ).
cnf(c_0_33,plain,
multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(X1),multiply(inverse(a1),a1)))) = multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,multiply(inverse(a1),a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_18]),c_0_10]),c_0_18]),c_0_18]),c_0_27]) ).
cnf(c_0_34,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X4)))))),multiply(X5,inverse(X4)))))),multiply(X1,inverse(multiply(X5,inverse(X4))))) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_35,plain,
multiply(inverse(inverse(X1)),inverse(multiply(multiply(inverse(X2),X2),X1))) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_31,c_0_14]) ).
cnf(c_0_36,plain,
multiply(multiply(inverse(a1),a1),multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,multiply(inverse(a1),a1)))) = X1,
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(a1),a1))),multiply(inverse(X3),X3))))),multiply(X1,multiply(inverse(a1),a1))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_14]),c_0_14]),c_0_18]),c_0_18]) ).
cnf(c_0_38,plain,
multiply(inverse(inverse(multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,multiply(inverse(a1),a1))))),inverse(X1)) = multiply(inverse(a1),a1),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,plain,
multiply(multiply(inverse(a1),a1),multiply(inverse(inverse(X1)),multiply(inverse(a1),a1))) = multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,multiply(inverse(a1),a1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_30]),c_0_18]),c_0_10]),c_0_18]),c_0_18]),c_0_27]),c_0_33]) ).
cnf(c_0_40,plain,
multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,multiply(inverse(a1),a1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_18]),c_0_37]),c_0_39]) ).
cnf(c_0_41,plain,
multiply(multiply(inverse(a1),a1),multiply(inverse(inverse(X1)),multiply(inverse(a1),a1))) = X1,
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,plain,
multiply(multiply(inverse(a1),a1),X1) = X1,
inference(rw,[status(thm)],[c_0_36,c_0_40]) ).
cnf(c_0_43,plain,
multiply(multiply(inverse(a1),a1),inverse(multiply(inverse(X1),multiply(inverse(a1),a1)))) = X1,
inference(rw,[status(thm)],[c_0_33,c_0_40]) ).
cnf(c_0_44,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,inverse(X1))),multiply(a1,multiply(inverse(a1),a1)))),multiply(inverse(a1),a1))),multiply(inverse(a1),a1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_33]),c_0_18]),c_0_27]) ).
cnf(c_0_45,plain,
multiply(inverse(inverse(X1)),multiply(inverse(a1),a1)) = X1,
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
multiply(inverse(X1),multiply(inverse(a1),a1)) = inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_42]),c_0_40]) ).
cnf(c_0_47,plain,
multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_45,c_0_14]) ).
cnf(c_0_48,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_46]),c_0_40]),c_0_46]) ).
cnf(c_0_49,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(multiply(inverse(a1),a1),multiply(inverse(inverse(X2)),inverse(X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_14]),c_0_18]) ).
cnf(c_0_50,plain,
multiply(X1,multiply(inverse(X2),X2)) = X1,
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(X2,inverse(X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_42]),c_0_48]) ).
cnf(c_0_52,plain,
multiply(X1,multiply(X2,inverse(X2))) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_48]) ).
cnf(c_0_53,plain,
multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_51]),c_0_18]),c_0_46]),c_0_48]) ).
cnf(c_0_54,plain,
inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
multiply(multiply(X1,inverse(X2)),X2) = X1,
inference(spm,[status(thm)],[c_0_53,c_0_48]) ).
cnf(c_0_56,plain,
multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_48]) ).
cnf(c_0_57,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(fof_simplification,[status(thm)],[prove_these_axioms]) ).
cnf(c_0_58,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(a1),a1))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X3)))),multiply(X4,inverse(X3))),
inference(rw,[status(thm)],[c_0_3,c_0_12]) ).
cnf(c_0_59,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_56]),c_0_48]) ).
cnf(c_0_60,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
c_0_57 ).
cnf(c_0_61,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3)))))),multiply(inverse(a1),a1)) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X3)))),multiply(X4,inverse(X3))),
inference(rw,[status(thm)],[c_0_58,c_0_16]) ).
cnf(c_0_62,plain,
inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
inference(spm,[status(thm)],[c_0_55,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(sr,[status(thm)],[c_0_60,c_0_14]) ).
cnf(c_0_64,plain,
multiply(inverse(multiply(X1,multiply(inverse(X2),X3))),multiply(X1,inverse(X2))) = inverse(X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_46]),c_0_18]),c_0_18]),c_0_54]),c_0_50]),c_0_55]),c_0_62]) ).
cnf(c_0_65,negated_conjecture,
( multiply(multiply(inverse(X1),X1),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(spm,[status(thm)],[c_0_63,c_0_14]) ).
cnf(c_0_66,plain,
multiply(multiply(X1,inverse(X2)),X3) = multiply(X1,multiply(inverse(X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_64]),c_0_48]),c_0_48]) ).
cnf(c_0_67,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(spm,[status(thm)],[c_0_65,c_0_42]) ).
cnf(c_0_68,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(spm,[status(thm)],[c_0_66,c_0_48]) ).
cnf(c_0_69,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP056-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/15.47 % CPULimit : 300
% 0.10/15.47 % WCLimit : 300
% 0.10/15.47 % DateTime : Sun Sep 20 19:56:40 UTC 2026
% 0.10/15.48 % CPUTime :
% 0.10/15.48 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/15.52 Running first-order theorem proving
% 0.22/15.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/15.70 % Version: 3.5.1
% 0.22/15.70 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/15.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/15.70 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/15.70 % Starting new_bool_3 with 300s (1) cores
% 0.22/15.70 % Starting new_bool_1 with 300s (1) cores
% 0.22/15.70 % Starting sh5l with 300s (1) cores
% 0.22/15.70 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3379449 completed with status 0
% 0.22/15.70 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.22/15.70 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/15.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/15.70 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/15.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/15.70 % No SInE strategy applied
% 0.22/15.70 % Search class: FUHPF-FFSF21-DFFFFFNN
% 0.22/15.70 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/15.70 % Starting SubtermCWHack with 136s (1) cores
% 0.22/15.70 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.22/15.70 % Starting G-E--_208_C18_F1_SE_CS_SSP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.22/15.70 % Starting new_bool_3 with 136s (1) cores
% 0.22/15.70 % Starting new_bool_1 with 136s (1) cores
% 0.22/15.70 % G-E--_208_C18_F1_SE_CS_SSP_PS_S5PRR_RG_S04AN with pid 3379456 completed with status 0
% 0.22/15.70 % Result found by G-E--_208_C18_F1_SE_CS_SSP_PS_S5PRR_RG_S04AN
% 0.22/15.70 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/15.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/15.70 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/15.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/15.70 % No SInE strategy applied
% 0.22/15.70 % Search class: FUHPF-FFSF21-DFFFFFNN
% 0.22/15.70 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/15.70 % Starting SubtermCWHack with 136s (1) cores
% 0.22/15.70 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.22/15.70 % Starting G-E--_208_C18_F1_SE_CS_SSP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.22/15.70 % Preprocessing time : 0.001 s
% 0.22/15.70 % Presaturation interreduction done
% 0.22/15.70
% 0.22/15.70 % Proof found!
% 0.22/15.70 % SZS status Unsatisfiable
% 0.22/15.70 % SZS output start CNFRefutation
% See solution above
% 0.22/15.70 % Parsed axioms : 2
% 0.22/15.70 % Removed by relevancy pruning/SinE : 0
% 0.22/15.70 % Initial clauses : 2
% 0.22/15.70 % Removed in clause preprocessing : 0
% 0.22/15.70 % Initial clauses in saturation : 2
% 0.22/15.70 % Processed clauses : 536
% 0.22/15.70 % ...of these trivial : 66
% 0.22/15.70 % ...subsumed : 333
% 0.22/15.70 % ...remaining for further processing : 137
% 0.22/15.70 % Other redundant clauses eliminated : 0
% 0.22/15.70 % Clauses deleted for lack of memory : 0
% 0.22/15.70 % Backward-subsumed : 11
% 0.22/15.70 % Backward-rewritten : 108
% 0.22/15.70 % Generated clauses : 5896
% 0.22/15.70 % ...of the previous two non-redundant : 5109
% 0.22/15.70 % ...aggressively subsumed : 0
% 0.22/15.70 % Contextual simplify-reflections : 0
% 0.22/15.70 % Paramodulations : 5895
% 0.22/15.70 % Factorizations : 0
% 0.22/15.70 % NegExts : 0
% 0.22/15.70 % Equation resolutions : 0
% 0.22/15.70 % Disequality decompositions : 0
% 0.22/15.70 % Total rewrite steps : 6377
% 0.22/15.70 % ...of those cached : 5700
% 0.22/15.70 % Propositional unsat checks : 0
% 0.22/15.70 % Propositional check models : 0
% 0.22/15.70 % Propositional check unsatisfiable : 0
% 0.22/15.70 % Propositional clauses : 0
% 0.22/15.70 % Propositional clauses after purity: 0
% 0.22/15.70 % Propositional unsat core size : 0
% 0.22/15.70 % Propositional preprocessing time : 0.000
% 0.22/15.70 % Propositional encoding time : 0.000
% 0.22/15.70 % Propositional solver time : 0.000
% 0.22/15.70 % Success case prop preproc time : 0.000
% 0.22/15.70 % Success case prop encoding time : 0.000
% 0.22/15.70 % Success case prop solver time : 0.000
% 0.22/15.70 % Current number of processed clauses : 15
% 0.22/15.70 % Positive orientable unit clauses : 14
% 0.22/15.70 % Positive unorientable unit clauses: 1
% 0.22/15.70 % Negative unit clauses : 0
% 0.22/15.70 % Non-unit-clauses : 0
% 0.22/15.70 % Current number of unprocessed clauses: 3275
% 0.22/15.70 % ...number of literals in the above : 3275
% 0.22/15.70 % Current number of archived formulas : 0
% 0.22/15.70 % Current number of archived clauses : 122
% 0.22/15.70 % Clause-clause subsumption calls (NU) : 260
% 0.22/15.70 % Rec. Clause-clause subsumption calls : 260
% 0.22/15.70 % Non-unit clause-clause subsumptions : 143
% 0.22/15.70 % Unit Clause-clause subsumption calls : 139
% 0.22/15.70 % Rewrite failures with RHS unbound : 0
% 0.22/15.70 % BW rewrite match attempts : 636
% 0.22/15.70 % BW rewrite match successes : 183
% 0.22/15.70 % Condensation attempts : 0
% 0.22/15.70 % Condensation successes : 0
% 0.22/15.70 % Termbank termtop insertions : 338340
% 0.22/15.70 % Search garbage collected termcells : 8
% 0.22/15.70
% 0.22/15.70 % -------------------------------------------------
% 0.22/15.70 % User time : 0.144 s
% 0.22/15.70 % System time : 0.013 s
% 0.22/15.70 % Total time : 0.157 s
% 0.22/15.70 % Maximum resident set size: 3636 pages
% 0.22/15.70
% 0.22/15.70 % -------------------------------------------------
% 0.22/15.70 % User time : 0.736 s
% 0.22/15.70 % System time : 0.057 s
% 0.22/15.70 % Total time : 0.793 s
% 0.22/15.70 % Maximum resident set size: 4864 pages
% 0.22/15.70 % E exiting
%------------------------------------------------------------------------------