%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : BOO007-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 : Sun Sep 27 06:55:02 AM UTC 2026
% Result : Unsatisfiable 3.94s 0.97s
% Output : CNFRefutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 9
% Syntax : Number of formulae : 121 ( 121 unt; 0 def)
% Number of atoms : 121 ( 120 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 250 ( 23 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_of_add,axiom,
! [VAR_0,VAR_1] : add(VAR_0,VAR_1) = add(VAR_1,VAR_0),
file('theBenchmark.p',commutativity_of_add) ).
cnf(c_1,plain,
add(A,B) = add(B,A),
inference(clausify,[status(thm)],[commutativity_of_add]) ).
fof(commutativity_of_multiply,axiom,
! [VAR_0,VAR_1] : multiply(VAR_0,VAR_1) = multiply(VAR_1,VAR_0),
file('theBenchmark.p',commutativity_of_multiply) ).
cnf(c_2,plain,
multiply(A,B) = multiply(B,A),
inference(clausify,[status(thm)],[commutativity_of_multiply]) ).
fof(distributivity1,axiom,
! [VAR_0,VAR_1,VAR_2] : add(VAR_0,multiply(VAR_1,VAR_2)) = multiply(add(VAR_0,VAR_1),add(VAR_0,VAR_2)),
file('theBenchmark.p',distributivity1) ).
cnf(c_3,plain,
add(A,multiply(B,C)) = multiply(add(A,B),add(A,C)),
inference(clausify,[status(thm)],[distributivity1]) ).
cnf(c_4,plain,
multiply(add(A,B),add(A,C)) = add(A,multiply(B,C)),
inference(copy,[status(thm)],[c_3]) ).
fof(distributivity2,axiom,
! [VAR_0,VAR_1,VAR_2] : multiply(VAR_0,add(VAR_1,VAR_2)) = add(multiply(VAR_0,VAR_1),multiply(VAR_0,VAR_2)),
file('theBenchmark.p',distributivity2) ).
cnf(c_5,plain,
multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)),
inference(clausify,[status(thm)],[distributivity2]) ).
fof(additive_id1,axiom,
! [VAR_0] : add(VAR_0,additive_identity) = VAR_0,
file('theBenchmark.p',additive_id1) ).
cnf(c_6,plain,
add(A,additive_identity) = A,
inference(clausify,[status(thm)],[additive_id1]) ).
fof(multiplicative_id1,axiom,
! [VAR_0] : multiply(VAR_0,multiplicative_identity) = VAR_0,
file('theBenchmark.p',multiplicative_id1) ).
cnf(c_7,plain,
multiply(A,multiplicative_identity) = A,
inference(clausify,[status(thm)],[multiplicative_id1]) ).
fof(additive_inverse1,axiom,
! [VAR_0] : add(VAR_0,inverse(VAR_0)) = multiplicative_identity,
file('theBenchmark.p',additive_inverse1) ).
cnf(c_8,plain,
add(A,inverse(A)) = multiplicative_identity,
inference(clausify,[status(thm)],[additive_inverse1]) ).
fof(multiplicative_inverse1,axiom,
! [VAR_0] : multiply(VAR_0,inverse(VAR_0)) = additive_identity,
file('theBenchmark.p',multiplicative_inverse1) ).
cnf(c_9,plain,
multiply(A,inverse(A)) = additive_identity,
inference(clausify,[status(thm)],[multiplicative_inverse1]) ).
fof(prove_associativity,axiom,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('theBenchmark.p',prove_associativity) ).
cnf(c_10,plain,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
inference(clausify,[status(thm)],[prove_associativity]) ).
cnf(c_821,plain,
multiply(a,multiply(b,c)) != multiply(c,multiply(a,b)),
inference(paramod,[status(thm)],[c_2,c_10]) ).
cnf(c_11,plain,
multiply(c,multiply(a,b)) != multiply(a,multiply(b,c)),
inference(copy,[status(thm)],[c_821]) ).
cnf(c_822,plain,
add(multiply(add(A,B),A),multiply(add(A,B),C)) = add(A,multiply(B,C)),
inference(paramod,[status(thm)],[c_5,c_4]) ).
cnf(c_823,plain,
add(multiply(A,add(A,B)),multiply(add(A,B),C)) = add(A,multiply(B,C)),
inference(paramod,[status(thm)],[c_2,c_822]) ).
cnf(c_12,plain,
add(add(multiply(A,A),multiply(A,B)),multiply(add(A,B),C)) = add(A,multiply(B,C)),
inference(paramod,[status(thm)],[c_5,c_823]) ).
cnf(c_824,plain,
add(multiply(A,B),multiply(A,C)) = multiply(add(B,C),A),
inference(paramod,[status(thm)],[c_5,c_2]) ).
cnf(c_13,plain,
multiply(add(A,B),C) = add(multiply(C,A),multiply(C,B)),
inference(copy,[status(thm)],[c_824]) ).
cnf(c_825,plain,
A = add(additive_identity,A),
inference(paramod,[status(thm)],[c_6,c_1]) ).
cnf(c_14,plain,
add(additive_identity,A) = A,
inference(copy,[status(thm)],[c_825]) ).
cnf(c_826,plain,
multiply(A,B) = add(multiply(A,B),multiply(A,additive_identity)),
inference(paramod,[status(thm)],[c_6,c_5]) ).
cnf(c_15,plain,
add(multiply(A,B),multiply(A,additive_identity)) = multiply(A,B),
inference(copy,[status(thm)],[c_826]) ).
cnf(c_827,plain,
A = multiply(multiplicative_identity,A),
inference(paramod,[status(thm)],[c_7,c_2]) ).
cnf(c_16,plain,
multiply(multiplicative_identity,A) = A,
inference(copy,[status(thm)],[c_827]) ).
cnf(c_828,plain,
multiply(A,multiplicative_identity) = add(multiply(A,B),multiply(A,inverse(B))),
inference(paramod,[status(thm)],[c_8,c_5]) ).
cnf(c_829,plain,
A = add(multiply(A,B),multiply(A,inverse(B))),
inference(paramod,[status(thm)],[c_7,c_828]) ).
cnf(c_17,plain,
add(multiply(A,B),multiply(A,inverse(B))) = A,
inference(copy,[status(thm)],[c_829]) ).
cnf(c_830,plain,
add(add(multiply(A,A),multiply(A,inverse(A))),multiply(multiplicative_identity,B)) = add(A,multiply(inverse(A),B)),
inference(paramod,[status(thm)],[c_8,c_12]) ).
cnf(c_831,plain,
add(add(multiply(A,A),additive_identity),multiply(multiplicative_identity,B)) = add(A,multiply(inverse(A),B)),
inference(paramod,[status(thm)],[c_9,c_830]) ).
cnf(c_832,plain,
add(add(additive_identity,multiply(A,A)),multiply(multiplicative_identity,B)) = add(A,multiply(inverse(A),B)),
inference(paramod,[status(thm)],[c_1,c_831]) ).
cnf(c_833,plain,
add(multiply(A,A),multiply(multiplicative_identity,B)) = add(A,multiply(inverse(A),B)),
inference(paramod,[status(thm)],[c_14,c_832]) ).
cnf(c_834,plain,
add(multiply(A,A),B) = add(A,multiply(inverse(A),B)),
inference(paramod,[status(thm)],[c_16,c_833]) ).
cnf(c_25,plain,
add(A,multiply(inverse(A),B)) = add(multiply(A,A),B),
inference(copy,[status(thm)],[c_834]) ).
cnf(c_28,plain,
multiply(add(A,B),C) = add(multiply(A,C),multiply(C,B)),
inference(paramod,[status(thm)],[c_2,c_13]) ).
cnf(c_835,plain,
add(multiply(inverse(add(A,B)),A),multiply(inverse(add(A,B)),B)) = additive_identity,
inference(paramod,[status(thm)],[c_13,c_9]) ).
cnf(c_836,plain,
add(multiply(A,inverse(add(A,B))),multiply(inverse(add(A,B)),B)) = additive_identity,
inference(paramod,[status(thm)],[c_2,c_835]) ).
cnf(c_32,plain,
add(multiply(A,inverse(add(A,B))),multiply(B,inverse(add(A,B)))) = additive_identity,
inference(paramod,[status(thm)],[c_2,c_836]) ).
cnf(c_837,plain,
add(additive_identity,multiply(A,additive_identity)) = multiply(A,inverse(A)),
inference(paramod,[status(thm)],[c_9,c_15]) ).
cnf(c_838,plain,
multiply(A,additive_identity) = multiply(A,inverse(A)),
inference(paramod,[status(thm)],[c_14,c_837]) ).
cnf(c_41,plain,
multiply(A,additive_identity) = additive_identity,
inference(paramod,[status(thm)],[c_9,c_838]) ).
cnf(c_839,plain,
additive_identity = multiply(additive_identity,A),
inference(paramod,[status(thm)],[c_41,c_2]) ).
cnf(c_43,plain,
multiply(additive_identity,A) = additive_identity,
inference(copy,[status(thm)],[c_839]) ).
cnf(c_840,plain,
add(add(multiply(A,A),additive_identity),multiply(add(A,additive_identity),B)) = add(A,multiply(additive_identity,B)),
inference(paramod,[status(thm)],[c_41,c_12]) ).
cnf(c_841,plain,
add(add(additive_identity,multiply(A,A)),multiply(add(A,additive_identity),B)) = add(A,multiply(additive_identity,B)),
inference(paramod,[status(thm)],[c_1,c_840]) ).
cnf(c_842,plain,
add(multiply(A,A),multiply(add(A,additive_identity),B)) = add(A,multiply(additive_identity,B)),
inference(paramod,[status(thm)],[c_14,c_841]) ).
cnf(c_843,plain,
add(multiply(A,A),multiply(A,B)) = add(A,multiply(additive_identity,B)),
inference(paramod,[status(thm)],[c_6,c_842]) ).
cnf(c_844,plain,
add(multiply(A,A),multiply(A,B)) = add(A,additive_identity),
inference(paramod,[status(thm)],[c_43,c_843]) ).
cnf(c_44,plain,
add(multiply(A,A),multiply(A,B)) = A,
inference(paramod,[status(thm)],[c_6,c_844]) ).
cnf(c_49,plain,
add(multiply(A,B),multiply(B,inverse(A))) = B,
inference(paramod,[status(thm)],[c_2,c_17]) ).
cnf(c_845,plain,
add(additive_identity,multiply(A,inverse(inverse(A)))) = A,
inference(paramod,[status(thm)],[c_9,c_17]) ).
cnf(c_53,plain,
multiply(A,inverse(inverse(A))) = A,
inference(paramod,[status(thm)],[c_14,c_845]) ).
cnf(c_846,plain,
add(multiply(A,A),additive_identity) = A,
inference(paramod,[status(thm)],[c_9,c_17]) ).
cnf(c_847,plain,
add(additive_identity,multiply(A,A)) = A,
inference(paramod,[status(thm)],[c_1,c_846]) ).
cnf(c_54,plain,
multiply(A,A) = A,
inference(paramod,[status(thm)],[c_14,c_847]) ).
cnf(c_56,plain,
add(A,multiply(A,B)) = A,
inference(paramod,[status(thm)],[c_54,c_44]) ).
cnf(c_57,plain,
add(A,multiply(inverse(A),B)) = add(A,B),
inference(paramod,[status(thm)],[c_54,c_25]) ).
cnf(c_68,plain,
add(A,multiply(B,A)) = A,
inference(paramod,[status(thm)],[c_2,c_56]) ).
cnf(c_848,plain,
multiply(A,B) = add(multiply(A,B),multiply(A,multiply(B,C))),
inference(paramod,[status(thm)],[c_56,c_5]) ).
cnf(c_69,plain,
add(multiply(A,B),multiply(A,multiply(B,C))) = multiply(A,B),
inference(copy,[status(thm)],[c_848]) ).
cnf(c_849,plain,
multiply(A,B) = add(multiply(multiply(A,C),B),multiply(B,multiply(A,inverse(C)))),
inference(paramod,[status(thm)],[c_17,c_28]) ).
cnf(c_77,plain,
add(multiply(multiply(A,B),C),multiply(C,multiply(A,inverse(B)))) = multiply(A,C),
inference(copy,[status(thm)],[c_849]) ).
cnf(c_850,plain,
add(multiply(A,inverse(A)),multiply(multiply(B,A),inverse(add(A,multiply(B,A))))) = additive_identity,
inference(paramod,[status(thm)],[c_68,c_32]) ).
cnf(c_851,plain,
add(additive_identity,multiply(multiply(B,A),inverse(add(A,multiply(B,A))))) = additive_identity,
inference(paramod,[status(thm)],[c_9,c_850]) ).
cnf(c_852,plain,
add(additive_identity,multiply(multiply(B,A),inverse(A))) = additive_identity,
inference(paramod,[status(thm)],[c_68,c_851]) ).
cnf(c_88,plain,
multiply(multiply(A,B),inverse(B)) = additive_identity,
inference(paramod,[status(thm)],[c_14,c_852]) ).
cnf(c_853,plain,
additive_identity = multiply(inverse(A),multiply(B,A)),
inference(paramod,[status(thm)],[c_88,c_2]) ).
cnf(c_92,plain,
multiply(inverse(A),multiply(B,A)) = additive_identity,
inference(copy,[status(thm)],[c_853]) ).
cnf(c_854,plain,
add(multiply(multiply(A,B),B),additive_identity) = multiply(A,B),
inference(paramod,[status(thm)],[c_88,c_17]) ).
cnf(c_855,plain,
add(multiply(B,multiply(A,B)),additive_identity) = multiply(A,B),
inference(paramod,[status(thm)],[c_2,c_854]) ).
cnf(c_856,plain,
add(additive_identity,multiply(B,multiply(A,B))) = multiply(A,B),
inference(paramod,[status(thm)],[c_1,c_855]) ).
cnf(c_94,plain,
multiply(A,multiply(B,A)) = multiply(B,A),
inference(paramod,[status(thm)],[c_14,c_856]) ).
cnf(c_857,plain,
multiply(A,B) = add(multiply(A,multiply(C,B)),multiply(A,multiply(B,inverse(C)))),
inference(paramod,[status(thm)],[c_49,c_5]) ).
cnf(c_110,plain,
add(multiply(A,multiply(B,C)),multiply(A,multiply(C,inverse(B)))) = multiply(A,C),
inference(copy,[status(thm)],[c_857]) ).
cnf(c_858,plain,
add(A,multiply(inverse(inverse(A)),inverse(A))) = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_53,c_49]) ).
cnf(c_859,plain,
add(A,multiply(inverse(A),inverse(inverse(A)))) = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_2,c_858]) ).
cnf(c_860,plain,
add(A,additive_identity) = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_9,c_859]) ).
cnf(c_861,plain,
A = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_6,c_860]) ).
cnf(c_113,plain,
inverse(inverse(A)) = A,
inference(copy,[status(thm)],[c_861]) ).
cnf(c_862,plain,
multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,multiply(inverse(B),C))),
inference(paramod,[status(thm)],[c_57,c_5]) ).
cnf(c_863,plain,
add(multiply(A,B),multiply(A,C)) = add(multiply(A,B),multiply(A,multiply(inverse(B),C))),
inference(paramod,[status(thm)],[c_5,c_862]) ).
cnf(c_125,plain,
add(multiply(A,B),multiply(A,multiply(inverse(B),C))) = add(multiply(A,B),multiply(A,C)),
inference(copy,[status(thm)],[c_863]) ).
cnf(c_864,plain,
add(additive_identity,multiply(multiply(A,B),multiply(inverse(B),C))) = multiply(multiply(A,B),inverse(B)),
inference(paramod,[status(thm)],[c_88,c_69]) ).
cnf(c_865,plain,
multiply(multiply(A,B),multiply(inverse(B),C)) = multiply(multiply(A,B),inverse(B)),
inference(paramod,[status(thm)],[c_14,c_864]) ).
cnf(c_174,plain,
multiply(multiply(A,B),multiply(inverse(B),C)) = additive_identity,
inference(paramod,[status(thm)],[c_88,c_865]) ).
cnf(c_866,plain,
add(multiply(multiply(inverse(A),B),multiply(C,A)),multiply(multiply(C,A),multiply(inverse(A),inverse(B)))) = additive_identity,
inference(paramod,[status(thm)],[c_92,c_77]) ).
cnf(c_867,plain,
add(multiply(multiply(inverse(A),B),multiply(C,A)),additive_identity) = additive_identity,
inference(paramod,[status(thm)],[c_174,c_866]) ).
cnf(c_868,plain,
add(additive_identity,multiply(multiply(inverse(A),B),multiply(C,A))) = additive_identity,
inference(paramod,[status(thm)],[c_1,c_867]) ).
cnf(c_276,plain,
multiply(multiply(inverse(A),B),multiply(C,A)) = additive_identity,
inference(paramod,[status(thm)],[c_14,c_868]) ).
cnf(c_869,plain,
add(multiply(A,multiply(B,C)),multiply(multiply(A,multiply(B,C)),multiply(B,inverse(C)))) = multiply(B,multiply(A,multiply(B,C))),
inference(paramod,[status(thm)],[c_94,c_77]) ).
cnf(c_870,plain,
multiply(A,multiply(B,C)) = multiply(B,multiply(A,multiply(B,C))),
inference(paramod,[status(thm)],[c_56,c_869]) ).
cnf(c_281,plain,
multiply(A,multiply(B,multiply(A,C))) = multiply(B,multiply(A,C)),
inference(copy,[status(thm)],[c_870]) ).
cnf(c_871,plain,
add(additive_identity,multiply(multiply(A,B),multiply(inverse(inverse(B)),C))) = add(multiply(multiply(A,B),inverse(B)),multiply(multiply(A,B),C)),
inference(paramod,[status(thm)],[c_88,c_125]) ).
cnf(c_872,plain,
add(additive_identity,multiply(multiply(A,B),multiply(B,C))) = add(multiply(multiply(A,B),inverse(B)),multiply(multiply(A,B),C)),
inference(paramod,[status(thm)],[c_113,c_871]) ).
cnf(c_873,plain,
multiply(multiply(A,B),multiply(B,C)) = add(multiply(multiply(A,B),inverse(B)),multiply(multiply(A,B),C)),
inference(paramod,[status(thm)],[c_14,c_872]) ).
cnf(c_874,plain,
multiply(multiply(A,B),multiply(B,C)) = add(additive_identity,multiply(multiply(A,B),C)),
inference(paramod,[status(thm)],[c_88,c_873]) ).
cnf(c_664,plain,
multiply(multiply(A,B),multiply(B,C)) = multiply(multiply(A,B),C),
inference(paramod,[status(thm)],[c_14,c_874]) ).
cnf(c_875,plain,
add(multiply(multiply(A,B),multiply(inverse(inverse(B)),C)),additive_identity) = multiply(A,multiply(inverse(inverse(B)),C)),
inference(paramod,[status(thm)],[c_276,c_77]) ).
cnf(c_876,plain,
add(multiply(multiply(A,B),multiply(B,C)),additive_identity) = multiply(A,multiply(inverse(inverse(B)),C)),
inference(paramod,[status(thm)],[c_113,c_875]) ).
cnf(c_877,plain,
add(multiply(multiply(A,B),C),additive_identity) = multiply(A,multiply(inverse(inverse(B)),C)),
inference(paramod,[status(thm)],[c_664,c_876]) ).
cnf(c_878,plain,
add(additive_identity,multiply(multiply(A,B),C)) = multiply(A,multiply(inverse(inverse(B)),C)),
inference(paramod,[status(thm)],[c_1,c_877]) ).
cnf(c_879,plain,
multiply(multiply(A,B),C) = multiply(A,multiply(inverse(inverse(B)),C)),
inference(paramod,[status(thm)],[c_14,c_878]) ).
cnf(c_787,plain,
multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
inference(paramod,[status(thm)],[c_113,c_879]) ).
cnf(c_880,plain,
add(multiply(multiply(inverse(inverse(A)),B),multiply(A,C)),additive_identity) = multiply(multiply(inverse(inverse(A)),B),C),
inference(paramod,[status(thm)],[c_276,c_110]) ).
cnf(c_881,plain,
add(multiply(multiply(A,B),multiply(A,C)),additive_identity) = multiply(multiply(inverse(inverse(A)),B),C),
inference(paramod,[status(thm)],[c_113,c_880]) ).
cnf(c_882,plain,
add(multiply(A,multiply(B,multiply(A,C))),additive_identity) = multiply(multiply(inverse(inverse(A)),B),C),
inference(paramod,[status(thm)],[c_787,c_881]) ).
cnf(c_883,plain,
add(multiply(B,multiply(A,C)),additive_identity) = multiply(multiply(inverse(inverse(A)),B),C),
inference(paramod,[status(thm)],[c_281,c_882]) ).
cnf(c_884,plain,
add(additive_identity,multiply(B,multiply(A,C))) = multiply(multiply(inverse(inverse(A)),B),C),
inference(paramod,[status(thm)],[c_1,c_883]) ).
cnf(c_885,plain,
multiply(B,multiply(A,C)) = multiply(multiply(inverse(inverse(A)),B),C),
inference(paramod,[status(thm)],[c_14,c_884]) ).
cnf(c_886,plain,
multiply(B,multiply(A,C)) = multiply(multiply(A,B),C),
inference(paramod,[status(thm)],[c_113,c_885]) ).
cnf(c_789,plain,
multiply(A,multiply(B,C)) = multiply(B,multiply(A,C)),
inference(paramod,[status(thm)],[c_787,c_886]) ).
cnf(c_887,plain,
multiply(a,multiply(c,b)) != multiply(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_789,c_11]) ).
cnf(c_888,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_2,c_887]) ).
cnf(c_820,plain,
$false,
inference(copy,[status(thm)],[c_888]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO007-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 22:34:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 186604 was started by sandbox on n010,
% 0.10/0.37 % Sat Sep 26 22:34:00 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 3.94/0.97
% 3.94/0.97 % SZS status Unsatisfiable for theBenchmark
% 3.94/0.97
% 3.94/0.97 % Proof 1 at 0.34 (+ 0.11) seconds.
% 3.94/0.97 % Length of proof is 44.
% 3.94/0.97 % Level of proof is 12.
% 3.94/0.97 % Maximum clause weight is 30.000.
% 3.94/0.97 % Given clauses 149.
% 3.94/0.97
% 3.94/0.97 % SZS output start CNFRefutation for theBenchmark
% See solution above
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