%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : BOO007-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 1.86s 0.71s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 12
% Syntax : Number of formulae : 127 ( 127 unt; 0 def)
% Number of atoms : 127 ( 126 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 : 251 ( 26 sgn 19 !; 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(multiply(VAR_0,VAR_1),VAR_2) = multiply(add(VAR_0,VAR_2),add(VAR_1,VAR_2)),
file('theBenchmark.p',distributivity1) ).
cnf(c_3,plain,
add(multiply(A,B),C) = multiply(add(A,C),add(B,C)),
inference(clausify,[status(thm)],[distributivity1]) ).
cnf(c_4,plain,
multiply(add(A,B),add(C,B)) = add(multiply(A,C),B),
inference(copy,[status(thm)],[c_3]) ).
fof(distributivity3,axiom,
! [VAR_0,VAR_1,VAR_2] : multiply(add(VAR_0,VAR_1),VAR_2) = add(multiply(VAR_0,VAR_2),multiply(VAR_1,VAR_2)),
file('theBenchmark.p',distributivity3) ).
cnf(c_7,plain,
multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)),
inference(clausify,[status(thm)],[distributivity3]) ).
fof(distributivity4,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',distributivity4) ).
cnf(c_8,plain,
multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)),
inference(clausify,[status(thm)],[distributivity4]) ).
fof(additive_inverse1,axiom,
! [VAR_0] : add(VAR_0,inverse(VAR_0)) = multiplicative_identity,
file('theBenchmark.p',additive_inverse1) ).
cnf(c_9,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_11,plain,
multiply(A,inverse(A)) = additive_identity,
inference(clausify,[status(thm)],[multiplicative_inverse1]) ).
fof(multiplicative_id1,axiom,
! [VAR_0] : multiply(VAR_0,multiplicative_identity) = VAR_0,
file('theBenchmark.p',multiplicative_id1) ).
cnf(c_13,plain,
multiply(A,multiplicative_identity) = A,
inference(clausify,[status(thm)],[multiplicative_id1]) ).
fof(multiplicative_id2,axiom,
! [VAR_0] : multiply(multiplicative_identity,VAR_0) = VAR_0,
file('theBenchmark.p',multiplicative_id2) ).
cnf(c_14,plain,
multiply(multiplicative_identity,A) = A,
inference(clausify,[status(thm)],[multiplicative_id2]) ).
fof(additive_id1,axiom,
! [VAR_0] : add(VAR_0,additive_identity) = VAR_0,
file('theBenchmark.p',additive_id1) ).
cnf(c_15,plain,
add(A,additive_identity) = A,
inference(clausify,[status(thm)],[additive_id1]) ).
fof(additive_id2,axiom,
! [VAR_0] : add(additive_identity,VAR_0) = VAR_0,
file('theBenchmark.p',additive_id2) ).
cnf(c_16,plain,
add(additive_identity,A) = A,
inference(clausify,[status(thm)],[additive_id2]) ).
fof(prove_associativity,axiom,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('theBenchmark.p',prove_associativity) ).
cnf(c_17,plain,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
inference(clausify,[status(thm)],[prove_associativity]) ).
cnf(c_278,plain,
multiply(a,multiply(b,c)) != multiply(c,multiply(a,b)),
inference(paramod,[status(thm)],[c_2,c_17]) ).
cnf(c_18,plain,
multiply(c,multiply(a,b)) != multiply(a,multiply(b,c)),
inference(copy,[status(thm)],[c_278]) ).
cnf(c_279,plain,
add(multiply(add(A,B),C),multiply(add(A,B),B)) = add(multiply(A,C),B),
inference(paramod,[status(thm)],[c_8,c_4]) ).
cnf(c_280,plain,
add(add(multiply(A,C),multiply(B,C)),multiply(add(A,B),B)) = add(multiply(A,C),B),
inference(paramod,[status(thm)],[c_7,c_279]) ).
cnf(c_281,plain,
add(add(multiply(A,C),multiply(B,C)),multiply(B,add(A,B))) = add(multiply(A,C),B),
inference(paramod,[status(thm)],[c_2,c_280]) ).
cnf(c_20,plain,
add(add(multiply(A,B),multiply(C,B)),add(multiply(C,A),multiply(C,C))) = add(multiply(A,B),C),
inference(paramod,[status(thm)],[c_8,c_281]) ).
cnf(c_282,plain,
multiply(multiplicative_identity,A) = add(multiply(B,A),multiply(inverse(B),A)),
inference(paramod,[status(thm)],[c_9,c_7]) ).
cnf(c_283,plain,
A = add(multiply(B,A),multiply(inverse(B),A)),
inference(paramod,[status(thm)],[c_14,c_282]) ).
cnf(c_21,plain,
add(multiply(A,B),multiply(inverse(A),B)) = B,
inference(copy,[status(thm)],[c_283]) ).
cnf(c_284,plain,
multiply(A,multiplicative_identity) = add(multiply(A,B),multiply(A,inverse(B))),
inference(paramod,[status(thm)],[c_9,c_8]) ).
cnf(c_285,plain,
A = add(multiply(A,B),multiply(A,inverse(B))),
inference(paramod,[status(thm)],[c_13,c_284]) ).
cnf(c_22,plain,
add(multiply(A,B),multiply(A,inverse(B))) = A,
inference(copy,[status(thm)],[c_285]) ).
cnf(c_286,plain,
additive_identity = add(multiply(A,inverse(add(A,B))),multiply(B,inverse(add(A,B)))),
inference(paramod,[status(thm)],[c_11,c_7]) ).
cnf(c_23,plain,
add(multiply(A,inverse(add(A,B))),multiply(B,inverse(add(A,B)))) = additive_identity,
inference(copy,[status(thm)],[c_286]) ).
cnf(c_29,plain,
inverse(additive_identity) = multiplicative_identity,
inference(paramod,[status(thm)],[c_16,c_9]) ).
cnf(c_287,plain,
add(additive_identity,multiply(inverse(A),inverse(A))) = inverse(A),
inference(paramod,[status(thm)],[c_11,c_21]) ).
cnf(c_48,plain,
multiply(inverse(A),inverse(A)) = inverse(A),
inference(paramod,[status(thm)],[c_16,c_287]) ).
cnf(c_288,plain,
add(multiply(A,inverse(inverse(A))),additive_identity) = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_11,c_21]) ).
cnf(c_289,plain,
add(additive_identity,multiply(A,inverse(inverse(A)))) = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_1,c_288]) ).
cnf(c_49,plain,
multiply(A,inverse(inverse(A))) = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_16,c_289]) ).
cnf(c_290,plain,
add(A,add(multiply(inverse(B),B),multiply(inverse(B),inverse(B)))) = add(multiply(B,A),inverse(B)),
inference(paramod,[status(thm)],[c_21,c_20]) ).
cnf(c_291,plain,
add(A,add(multiply(B,inverse(B)),multiply(inverse(B),inverse(B)))) = add(multiply(B,A),inverse(B)),
inference(paramod,[status(thm)],[c_2,c_290]) ).
cnf(c_292,plain,
add(A,add(additive_identity,multiply(inverse(B),inverse(B)))) = add(multiply(B,A),inverse(B)),
inference(paramod,[status(thm)],[c_11,c_291]) ).
cnf(c_293,plain,
add(A,add(additive_identity,inverse(B))) = add(multiply(B,A),inverse(B)),
inference(paramod,[status(thm)],[c_48,c_292]) ).
cnf(c_294,plain,
add(A,inverse(B)) = add(multiply(B,A),inverse(B)),
inference(paramod,[status(thm)],[c_16,c_293]) ).
cnf(c_51,plain,
add(multiply(A,B),inverse(A)) = add(B,inverse(A)),
inference(copy,[status(thm)],[c_294]) ).
cnf(c_295,plain,
multiply(A,B) = add(multiply(multiply(A,C),B),multiply(multiply(A,inverse(C)),B)),
inference(paramod,[status(thm)],[c_22,c_7]) ).
cnf(c_52,plain,
add(multiply(multiply(A,B),C),multiply(multiply(A,inverse(B)),C)) = multiply(A,C),
inference(copy,[status(thm)],[c_295]) ).
cnf(c_296,plain,
add(additive_identity,multiply(A,inverse(inverse(A)))) = A,
inference(paramod,[status(thm)],[c_11,c_22]) ).
cnf(c_297,plain,
add(additive_identity,inverse(inverse(A))) = A,
inference(paramod,[status(thm)],[c_49,c_296]) ).
cnf(c_55,plain,
inverse(inverse(A)) = A,
inference(paramod,[status(thm)],[c_16,c_297]) ).
cnf(c_298,plain,
add(multiply(A,inverse(A)),multiply(additive_identity,inverse(add(A,additive_identity)))) = additive_identity,
inference(paramod,[status(thm)],[c_15,c_23]) ).
cnf(c_299,plain,
add(additive_identity,multiply(additive_identity,inverse(add(A,additive_identity)))) = additive_identity,
inference(paramod,[status(thm)],[c_11,c_298]) ).
cnf(c_300,plain,
add(additive_identity,multiply(additive_identity,inverse(A))) = additive_identity,
inference(paramod,[status(thm)],[c_15,c_299]) ).
cnf(c_74,plain,
multiply(additive_identity,inverse(A)) = additive_identity,
inference(paramod,[status(thm)],[c_16,c_300]) ).
cnf(c_301,plain,
add(additive_identity,multiply(additive_identity,inverse(inverse(A)))) = additive_identity,
inference(paramod,[status(thm)],[c_74,c_22]) ).
cnf(c_302,plain,
add(additive_identity,multiply(additive_identity,A)) = additive_identity,
inference(paramod,[status(thm)],[c_55,c_301]) ).
cnf(c_79,plain,
multiply(additive_identity,A) = additive_identity,
inference(paramod,[status(thm)],[c_16,c_302]) ).
cnf(c_303,plain,
multiply(add(A,inverse(B)),C) = add(multiply(multiply(B,A),C),multiply(inverse(B),C)),
inference(paramod,[status(thm)],[c_51,c_7]) ).
cnf(c_304,plain,
add(multiply(A,C),multiply(inverse(B),C)) = add(multiply(multiply(B,A),C),multiply(inverse(B),C)),
inference(paramod,[status(thm)],[c_7,c_303]) ).
cnf(c_83,plain,
add(multiply(multiply(A,B),C),multiply(inverse(A),C)) = add(multiply(B,C),multiply(inverse(A),C)),
inference(copy,[status(thm)],[c_304]) ).
cnf(c_305,plain,
multiply(A,add(B,inverse(C))) = add(multiply(A,multiply(C,B)),multiply(A,inverse(C))),
inference(paramod,[status(thm)],[c_51,c_8]) ).
cnf(c_306,plain,
add(multiply(A,B),multiply(A,inverse(C))) = add(multiply(A,multiply(C,B)),multiply(A,inverse(C))),
inference(paramod,[status(thm)],[c_8,c_305]) ).
cnf(c_85,plain,
add(multiply(A,multiply(B,C)),multiply(A,inverse(B))) = add(multiply(A,C),multiply(A,inverse(B))),
inference(copy,[status(thm)],[c_306]) ).
cnf(c_307,plain,
add(multiply(additive_identity,A),multiplicative_identity) = add(A,inverse(additive_identity)),
inference(paramod,[status(thm)],[c_29,c_51]) ).
cnf(c_308,plain,
add(additive_identity,multiplicative_identity) = add(A,inverse(additive_identity)),
inference(paramod,[status(thm)],[c_79,c_307]) ).
cnf(c_309,plain,
multiplicative_identity = add(A,inverse(additive_identity)),
inference(paramod,[status(thm)],[c_16,c_308]) ).
cnf(c_310,plain,
multiplicative_identity = add(A,multiplicative_identity),
inference(paramod,[status(thm)],[c_29,c_309]) ).
cnf(c_89,plain,
add(A,multiplicative_identity) = multiplicative_identity,
inference(copy,[status(thm)],[c_310]) ).
cnf(c_311,plain,
multiply(multiplicative_identity,A) = add(multiply(B,A),multiply(multiplicative_identity,A)),
inference(paramod,[status(thm)],[c_89,c_7]) ).
cnf(c_312,plain,
A = add(multiply(B,A),multiply(multiplicative_identity,A)),
inference(paramod,[status(thm)],[c_14,c_311]) ).
cnf(c_313,plain,
A = add(multiply(B,A),A),
inference(paramod,[status(thm)],[c_14,c_312]) ).
cnf(c_314,plain,
A = add(A,multiply(B,A)),
inference(paramod,[status(thm)],[c_1,c_313]) ).
cnf(c_92,plain,
add(A,multiply(B,A)) = A,
inference(copy,[status(thm)],[c_314]) ).
cnf(c_315,plain,
multiply(A,multiplicative_identity) = add(multiply(A,B),multiply(A,multiplicative_identity)),
inference(paramod,[status(thm)],[c_89,c_8]) ).
cnf(c_316,plain,
A = add(multiply(A,B),multiply(A,multiplicative_identity)),
inference(paramod,[status(thm)],[c_13,c_315]) ).
cnf(c_317,plain,
A = add(multiply(A,B),A),
inference(paramod,[status(thm)],[c_13,c_316]) ).
cnf(c_318,plain,
A = add(A,multiply(A,B)),
inference(paramod,[status(thm)],[c_1,c_317]) ).
cnf(c_93,plain,
add(A,multiply(A,B)) = A,
inference(copy,[status(thm)],[c_318]) ).
cnf(c_319,plain,
add(multiply(A,inverse(A)),multiply(multiply(B,A),inverse(add(A,multiply(B,A))))) = additive_identity,
inference(paramod,[status(thm)],[c_92,c_23]) ).
cnf(c_320,plain,
add(additive_identity,multiply(multiply(B,A),inverse(add(A,multiply(B,A))))) = additive_identity,
inference(paramod,[status(thm)],[c_11,c_319]) ).
cnf(c_321,plain,
add(additive_identity,multiply(multiply(B,A),inverse(A))) = additive_identity,
inference(paramod,[status(thm)],[c_92,c_320]) ).
cnf(c_110,plain,
multiply(multiply(A,B),inverse(B)) = additive_identity,
inference(paramod,[status(thm)],[c_16,c_321]) ).
cnf(c_322,plain,
add(multiply(A,inverse(A)),multiply(multiply(A,B),inverse(add(A,multiply(A,B))))) = additive_identity,
inference(paramod,[status(thm)],[c_93,c_23]) ).
cnf(c_323,plain,
add(additive_identity,multiply(multiply(A,B),inverse(add(A,multiply(A,B))))) = additive_identity,
inference(paramod,[status(thm)],[c_11,c_322]) ).
cnf(c_324,plain,
add(additive_identity,multiply(multiply(A,B),inverse(A))) = additive_identity,
inference(paramod,[status(thm)],[c_93,c_323]) ).
cnf(c_115,plain,
multiply(multiply(A,B),inverse(A)) = additive_identity,
inference(paramod,[status(thm)],[c_16,c_324]) ).
cnf(c_325,plain,
add(additive_identity,multiply(multiply(A,B),inverse(inverse(B)))) = multiply(A,B),
inference(paramod,[status(thm)],[c_110,c_22]) ).
cnf(c_326,plain,
add(additive_identity,multiply(multiply(A,B),B)) = multiply(A,B),
inference(paramod,[status(thm)],[c_55,c_325]) ).
cnf(c_327,plain,
add(additive_identity,multiply(B,multiply(A,B))) = multiply(A,B),
inference(paramod,[status(thm)],[c_2,c_326]) ).
cnf(c_118,plain,
multiply(A,multiply(B,A)) = multiply(B,A),
inference(paramod,[status(thm)],[c_16,c_327]) ).
cnf(c_328,plain,
additive_identity = multiply(inverse(A),multiply(A,B)),
inference(paramod,[status(thm)],[c_115,c_2]) ).
cnf(c_132,plain,
multiply(inverse(A),multiply(A,B)) = additive_identity,
inference(copy,[status(thm)],[c_328]) ).
cnf(c_329,plain,
add(multiply(A,multiply(B,C)),multiply(multiply(B,inverse(C)),multiply(A,multiply(B,C)))) = multiply(B,multiply(A,multiply(B,C))),
inference(paramod,[status(thm)],[c_118,c_52]) ).
cnf(c_330,plain,
multiply(A,multiply(B,C)) = multiply(B,multiply(A,multiply(B,C))),
inference(paramod,[status(thm)],[c_92,c_329]) ).
cnf(c_173,plain,
multiply(A,multiply(B,multiply(A,C))) = multiply(B,multiply(A,C)),
inference(copy,[status(thm)],[c_330]) ).
cnf(c_331,plain,
add(multiply(multiply(A,B),multiply(A,C)),additive_identity) = add(multiply(B,multiply(A,C)),multiply(inverse(A),multiply(A,C))),
inference(paramod,[status(thm)],[c_132,c_83]) ).
cnf(c_332,plain,
add(additive_identity,multiply(multiply(A,B),multiply(A,C))) = add(multiply(B,multiply(A,C)),multiply(inverse(A),multiply(A,C))),
inference(paramod,[status(thm)],[c_1,c_331]) ).
cnf(c_333,plain,
multiply(multiply(A,B),multiply(A,C)) = add(multiply(B,multiply(A,C)),multiply(inverse(A),multiply(A,C))),
inference(paramod,[status(thm)],[c_16,c_332]) ).
cnf(c_334,plain,
multiply(multiply(A,B),multiply(A,C)) = add(multiply(B,multiply(A,C)),additive_identity),
inference(paramod,[status(thm)],[c_132,c_333]) ).
cnf(c_335,plain,
multiply(multiply(A,B),multiply(A,C)) = add(additive_identity,multiply(B,multiply(A,C))),
inference(paramod,[status(thm)],[c_1,c_334]) ).
cnf(c_224,plain,
multiply(multiply(A,B),multiply(A,C)) = multiply(B,multiply(A,C)),
inference(paramod,[status(thm)],[c_16,c_335]) ).
cnf(c_336,plain,
add(multiply(multiply(A,B),multiply(B,C)),additive_identity) = add(multiply(multiply(A,B),C),multiply(multiply(A,B),inverse(B))),
inference(paramod,[status(thm)],[c_110,c_85]) ).
cnf(c_337,plain,
add(additive_identity,multiply(multiply(A,B),multiply(B,C))) = add(multiply(multiply(A,B),C),multiply(multiply(A,B),inverse(B))),
inference(paramod,[status(thm)],[c_1,c_336]) ).
cnf(c_338,plain,
multiply(multiply(A,B),multiply(B,C)) = add(multiply(multiply(A,B),C),multiply(multiply(A,B),inverse(B))),
inference(paramod,[status(thm)],[c_16,c_337]) ).
cnf(c_339,plain,
multiply(multiply(A,B),multiply(B,C)) = add(multiply(multiply(A,B),C),additive_identity),
inference(paramod,[status(thm)],[c_110,c_338]) ).
cnf(c_340,plain,
multiply(multiply(A,B),multiply(B,C)) = add(additive_identity,multiply(multiply(A,B),C)),
inference(paramod,[status(thm)],[c_1,c_339]) ).
cnf(c_251,plain,
multiply(multiply(A,B),multiply(B,C)) = multiply(multiply(A,B),C),
inference(paramod,[status(thm)],[c_16,c_340]) ).
cnf(c_341,plain,
add(multiply(multiply(A,B),multiply(A,C)),additive_identity) = add(multiply(multiply(A,B),C),multiply(multiply(A,B),inverse(A))),
inference(paramod,[status(thm)],[c_115,c_85]) ).
cnf(c_342,plain,
add(multiply(B,multiply(A,C)),additive_identity) = add(multiply(multiply(A,B),C),multiply(multiply(A,B),inverse(A))),
inference(paramod,[status(thm)],[c_224,c_341]) ).
cnf(c_343,plain,
add(additive_identity,multiply(B,multiply(A,C))) = add(multiply(multiply(A,B),C),multiply(multiply(A,B),inverse(A))),
inference(paramod,[status(thm)],[c_1,c_342]) ).
cnf(c_344,plain,
multiply(B,multiply(A,C)) = add(multiply(multiply(A,B),C),multiply(multiply(A,B),inverse(A))),
inference(paramod,[status(thm)],[c_16,c_343]) ).
cnf(c_345,plain,
multiply(B,multiply(A,C)) = add(multiply(multiply(A,B),C),additive_identity),
inference(paramod,[status(thm)],[c_115,c_344]) ).
cnf(c_346,plain,
multiply(B,multiply(A,C)) = add(additive_identity,multiply(multiply(A,B),C)),
inference(paramod,[status(thm)],[c_1,c_345]) ).
cnf(c_347,plain,
multiply(B,multiply(A,C)) = multiply(multiply(A,B),C),
inference(paramod,[status(thm)],[c_16,c_346]) ).
cnf(c_252,plain,
multiply(multiply(A,B),C) = multiply(B,multiply(A,C)),
inference(copy,[status(thm)],[c_347]) ).
cnf(c_348,plain,
multiply(B,multiply(A,multiply(B,C))) = multiply(multiply(A,B),C),
inference(paramod,[status(thm)],[c_252,c_251]) ).
cnf(c_349,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(paramod,[status(thm)],[c_173,c_348]) ).
cnf(c_257,plain,
multiply(A,multiply(B,C)) = multiply(B,multiply(A,C)),
inference(paramod,[status(thm)],[c_252,c_349]) ).
cnf(c_350,plain,
multiply(a,multiply(c,b)) != multiply(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_257,c_18]) ).
cnf(c_351,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(paramod,[status(thm)],[c_2,c_350]) ).
cnf(c_277,plain,
$false,
inference(copy,[status(thm)],[c_351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO007-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n018.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 22:35:52 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.46 % Process 1582124 was started by sandbox on n018,
% 0.19/0.46 % Sat Sep 26 22:35:52 2026
% 0.19/0.46 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.19/0.46
% 0.19/0.46 % From the command line: assign(max_seconds, 300).
% 1.86/0.71
% 1.86/0.71 % SZS status Unsatisfiable for theBenchmark
% 1.86/0.71
% 1.86/0.71 % Proof 1 at 0.10 (+ 0.04) seconds.
% 1.86/0.71 % Length of proof is 41.
% 1.86/0.71 % Level of proof is 12.
% 1.86/0.71 % Maximum clause weight is 33.000.
% 1.86/0.71 % Given clauses 64.
% 1.86/0.71
% 1.86/0.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------