%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO008-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:06:43 PM UTC 2026
% Result : Satisfiable 150.59s 27.92s
% Output : Saturation 150.59s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : sum(X,Y,add(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] :
( product(Y,X,Z)
| ~ product(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : sum(additive_identity,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : sum(X,additive_identity,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : sum(multiplicative_identity,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : sum(X,multiplicative_identity,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,V1,Z,V2,V3,V4] :
( sum(V1,V2,V4)
| ~ product(X,V3,V4)
| ~ sum(Y,Z,V3)
| ~ product(X,Z,V2)
| ~ product(X,Y,V1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,V1,Z,V2,V3,V4] :
( product(X,V3,V4)
| ~ sum(V1,V2,V4)
| ~ sum(Y,Z,V3)
| ~ product(X,Z,V2)
| ~ product(X,Y,V1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y,V1,Z,V2,V3,V4] :
( product(V1,V2,V4)
| ~ sum(X,V3,V4)
| ~ product(Y,Z,V3)
| ~ sum(X,Z,V2)
| ~ sum(X,Y,V1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,V1,Z,V2,V3,V4] :
( sum(X,V3,V4)
| ~ product(V1,V2,V4)
| ~ product(Y,Z,V3)
| ~ sum(X,Z,V2)
| ~ sum(X,Y,V1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : sum(inverse(X),X,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : sum(X,inverse(X),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] : product(inverse(X),X,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] : product(X,inverse(X),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
sum(x,y_plus_z,x__plus_y_plus_z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
x__plus_y_plus_z != x_plus_y__plus_z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f24,plain,
! [X0,X1,X2] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f25,plain,
! [X0,X1,X2] :
( product(X1,X0,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
! [X0] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f27,plain,
! [X0] : sum(X0,additive_identity,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f28,plain,
! [X0] : sum(multiplicative_identity,X0,X0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f29,plain,
! [X0] : sum(X0,multiplicative_identity,X0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f30,plain,
! [V1,V2,V4] :
( sum(V1,V2,V4)
| ! [X,V3] :
( ~ product(X,V3,V4)
| ! [Y,Z] :
( ~ sum(Y,Z,V3)
| ~ product(X,Z,V2)
| ~ product(X,Y,V1) ) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f31,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sum(X2,X4,X6)
| ~ product(X0,X5,X6)
| ~ sum(X1,X3,X5)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
! [X,V3,V4] :
( product(X,V3,V4)
| ! [V1,V2] :
( ~ sum(V1,V2,V4)
| ! [Y,Z] :
( ~ sum(Y,Z,V3)
| ~ product(X,Z,V2)
| ~ product(X,Y,V1) ) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( product(X0,X5,X6)
| ~ sum(X2,X4,X6)
| ~ sum(X1,X3,X5)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
! [V1,V2,V4] :
( product(V1,V2,V4)
| ! [X,V3] :
( ~ sum(X,V3,V4)
| ! [Y,Z] :
( ~ product(Y,Z,V3)
| ~ sum(X,Z,V2)
| ~ sum(X,Y,V1) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( product(X2,X4,X6)
| ~ sum(X0,X5,X6)
| ~ product(X1,X3,X5)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X,V3,V4] :
( sum(X,V3,V4)
| ! [V1,V2] :
( ~ product(V1,V2,V4)
| ! [Y,Z] :
( ~ product(Y,Z,V3)
| ~ sum(X,Z,V2)
| ~ sum(X,Y,V1) ) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sum(X0,X5,X6)
| ~ product(X2,X4,X6)
| ~ product(X1,X3,X5)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f39,plain,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f40,plain,
! [X0] : product(inverse(X0),X0,additive_identity),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f41,plain,
! [X0] : product(X0,inverse(X0),additive_identity),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f43,plain,
sum(x,y_plus_z,x__plus_y_plus_z),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f46,plain,
x__plus_y_plus_z != x_plus_y__plus_z,
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f53,plain,
sum(y_plus_z,x,x__plus_y_plus_z),
inference(resolution,[status(thm)],[f24,f43]) ).
fof(f57,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[status(thm)],[f24,f22]) ).
fof(f60,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[status(thm)],[f25,f23]) ).
fof(f67,plain,
! [X0,X1,X2,X3,X4] :
( product(X0,X3,X4)
| ~ sum(additive_identity,X2,X4)
| ~ sum(inverse(X0),X1,X3)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f33,f41]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( product(x__plus_y_plus_z,X1,X3)
| ~ sum(y_plus_z,X2,X3)
| ~ product(x,X0,X2)
| ~ sum(y_plus_z,X0,X1) ),
inference(resolution,[status(thm)],[f35,f53]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4] :
( product(X2,X1,X4)
| ~ sum(multiplicative_identity,X3,X4)
| ~ product(X2,X0,X3)
| ~ sum(multiplicative_identity,X0,X1) ),
inference(resolution,[status(thm)],[f35,f28]) ).
fof(f82,plain,
! [X0,X1,X2,X3,X4] :
( product(X2,X1,X4)
| ~ sum(additive_identity,X3,X4)
| ~ product(X2,X0,X3)
| ~ sum(additive_identity,X0,X1) ),
inference(resolution,[status(thm)],[f35,f26]) ).
fof(f87,plain,
! [X0,X1,X2,X3,X4] :
( product(X0,X2,X4)
| ~ sum(X0,X3,X4)
| ~ product(multiplicative_identity,X1,X3)
| ~ sum(X0,X1,X2) ),
inference(resolution,[status(thm)],[f35,f29]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4] :
( sum(multiplicative_identity,X3,X4)
| ~ product(X2,X1,X4)
| ~ product(X2,X0,X3)
| ~ sum(multiplicative_identity,X0,X1) ),
inference(resolution,[status(thm)],[f37,f28]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( sum(additive_identity,X3,X4)
| ~ product(X2,X1,X4)
| ~ product(X2,X0,X3)
| ~ sum(additive_identity,X0,X1) ),
inference(resolution,[status(thm)],[f37,f26]) ).
fof(f230,plain,
! [X0,X1,X2,X3] :
( product(X0,X2,X3)
| ~ sum(additive_identity,multiply(X1,X0),X3)
| ~ sum(inverse(X0),X1,X2) ),
inference(resolution,[status(thm)],[f67,f60]) ).
fof(f236,plain,
! [X0,X1] :
( product(x__plus_y_plus_z,x__plus_y_plus_z,X1)
| ~ sum(y_plus_z,X0,X1)
| ~ product(x,x,X0) ),
inference(resolution,[status(thm)],[f75,f53]) ).
fof(f381,plain,
! [X0,X1,X2,X3] :
( product(X0,X1,X3)
| ~ sum(multiplicative_identity,X2,X3)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f81,f28]) ).
fof(f382,plain,
! [X0,X1,X2] :
( product(X0,multiplicative_identity,X2)
| ~ sum(multiplicative_identity,X1,X2)
| ~ product(X0,inverse(multiplicative_identity),X1) ),
inference(resolution,[status(thm)],[f81,f39]) ).
fof(f393,plain,
! [X0,X1,X2,X3] :
( product(X0,X1,X3)
| ~ sum(additive_identity,X2,X3)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f82,f26]) ).
fof(f477,plain,
! [X0,X1] :
( product(inverse(X1),X1,X0)
| ~ sum(multiplicative_identity,additive_identity,X0) ),
inference(resolution,[status(thm)],[f381,f40]) ).
fof(f478,plain,
! [X0,X1] :
( product(X1,inverse(X1),X0)
| ~ sum(multiplicative_identity,additive_identity,X0) ),
inference(resolution,[status(thm)],[f381,f41]) ).
fof(f482,plain,
! [X0] : product(inverse(X0),X0,multiplicative_identity),
inference(resolution,[status(thm)],[f477,f27]) ).
fof(f496,plain,
! [X0] : product(X0,inverse(X0),multiplicative_identity),
inference(resolution,[status(thm)],[f482,f25]) ).
fof(f551,plain,
! [X0,X1,X2] :
( product(additive_identity,X0,X2)
| ~ sum(additive_identity,X1,X2)
| ~ product(multiplicative_identity,X0,X1) ),
inference(resolution,[status(thm)],[f87,f26]) ).
fof(f556,plain,
! [X0,X1,X2] :
( product(X1,X1,X2)
| ~ sum(X1,X0,X2)
| ~ product(multiplicative_identity,multiplicative_identity,X0) ),
inference(resolution,[status(thm)],[f87,f29]) ).
fof(f844,plain,
! [X0,X1,X2,X3] :
( sum(multiplicative_identity,X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f115,f28]) ).
fof(f859,plain,
! [X0,X1,X2,X3] :
( sum(additive_identity,X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f116,f26]) ).
fof(f1233,plain,
! [X0,X1,X2] :
( product(X0,X1,X2)
| ~ sum(additive_identity,multiply(X0,X1),X2) ),
inference(resolution,[status(thm)],[f393,f23]) ).
fof(f3731,plain,
! [X0,X1] :
( product(X0,multiplicative_identity,X1)
| ~ sum(additive_identity,multiply(X0,X0),X1) ),
inference(resolution,[status(thm)],[f230,f38]) ).
fof(f3733,plain,
! [X0,X1] :
( product(X0,inverse(X0),X1)
| ~ sum(additive_identity,multiply(multiplicative_identity,X0),X1) ),
inference(resolution,[status(thm)],[f230,f29]) ).
fof(f3979,plain,
! [X0] : product(X0,multiplicative_identity,multiply(X0,X0)),
inference(resolution,[status(thm)],[f3731,f26]) ).
fof(f4009,plain,
! [X0] : product(multiplicative_identity,X0,multiply(X0,X0)),
inference(resolution,[status(thm)],[f3979,f25]) ).
fof(f4269,plain,
! [X0,X1] :
( product(multiplicative_identity,X0,X1)
| ~ sum(multiplicative_identity,multiply(X0,X0),X1) ),
inference(resolution,[status(thm)],[f4009,f381]) ).
fof(f5592,plain,
! [X0,X1] :
( sum(multiplicative_identity,additive_identity,X1)
| ~ product(X0,inverse(X0),X1) ),
inference(resolution,[status(thm)],[f844,f41]) ).
fof(f5612,plain,
! [X0,X1,X2] :
( sum(multiplicative_identity,multiply(X0,X1),X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f844,f23]) ).
fof(f6574,plain,
! [X0] :
( product(multiplicative_identity,multiplicative_identity,X0)
| ~ sum(multiplicative_identity,multiplicative_identity,X0) ),
inference(resolution,[status(thm)],[f382,f496]) ).
fof(f9756,plain,
product(multiplicative_identity,multiplicative_identity,multiplicative_identity),
inference(resolution,[status(thm)],[f6574,f28]) ).
fof(f10796,plain,
! [X0,X1] :
( product(X0,X0,X1)
| ~ sum(X0,multiplicative_identity,X1) ),
inference(resolution,[status(thm)],[f556,f9756]) ).
fof(f10997,plain,
! [X0] : product(X0,X0,X0),
inference(resolution,[status(thm)],[f10796,f29]) ).
fof(f11007,plain,
! [X0] :
( product(x__plus_y_plus_z,x__plus_y_plus_z,X0)
| ~ sum(y_plus_z,x,X0) ),
inference(resolution,[status(thm)],[f10997,f236]) ).
fof(f11055,plain,
! [X0] : sum(multiplicative_identity,multiply(X0,X0),X0),
inference(resolution,[status(thm)],[f10997,f5612]) ).
fof(f11252,plain,
! [X0] : product(multiplicative_identity,X0,X0),
inference(resolution,[status(thm)],[f11055,f4269]) ).
fof(f11558,plain,
! [X0,X1] :
( product(additive_identity,X0,X1)
| ~ sum(additive_identity,X0,X1) ),
inference(resolution,[status(thm)],[f11252,f551]) ).
fof(f11576,plain,
! [X0] : sum(multiplicative_identity,multiply(multiplicative_identity,X0),X0),
inference(resolution,[status(thm)],[f11252,f5612]) ).
fof(f14961,plain,
product(x__plus_y_plus_z,x__plus_y_plus_z,add(x,y_plus_z)),
inference(resolution,[status(thm)],[f11007,f57]) ).
fof(f18488,plain,
! [X0] : product(additive_identity,X0,X0),
inference(resolution,[status(thm)],[f11558,f26]) ).
fof(f18575,plain,
! [X0,X1] :
( product(additive_identity,X0,X1)
| ~ sum(multiplicative_identity,X0,X1) ),
inference(resolution,[status(thm)],[f18488,f381]) ).
fof(f19761,plain,
! [X0,X1] :
( sum(additive_identity,X0,X1)
| ~ product(additive_identity,X0,X1) ),
inference(resolution,[status(thm)],[f859,f18488]) ).
fof(f19967,plain,
! [X0,X1] :
( sum(additive_identity,X0,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f859,f10997]) ).
fof(f21235,plain,
sum(additive_identity,x__plus_y_plus_z,add(x,y_plus_z)),
inference(resolution,[status(thm)],[f19967,f14961]) ).
fof(f24150,plain,
sum(x__plus_y_plus_z,additive_identity,add(x,y_plus_z)),
inference(resolution,[status(thm)],[f21235,f24]) ).
fof(f41338,plain,
! [X0] : product(additive_identity,multiply(multiplicative_identity,X0),X0),
inference(resolution,[status(thm)],[f18575,f11576]) ).
fof(f44063,plain,
! [X0] : sum(additive_identity,multiply(multiplicative_identity,X0),X0),
inference(resolution,[status(thm)],[f19761,f41338]) ).
fof(f75499,plain,
! [X0] : product(X0,inverse(X0),X0),
inference(resolution,[status(thm)],[f3733,f44063]) ).
fof(f75704,plain,
! [X0] : sum(multiplicative_identity,additive_identity,X0),
inference(resolution,[status(thm)],[f75499,f5592]) ).
fof(f75761,plain,
! [X0,X1] : product(X0,inverse(X0),X1),
inference(backward_subsumption_resolution,[status(thm)],[f478,f75704]) ).
fof(f76123,plain,
! [X0,X1,X2] :
( sum(additive_identity,X2,X1)
| ~ product(X0,inverse(X0),X1) ),
inference(resolution,[status(thm)],[f75761,f859]) ).
fof(f76153,plain,
! [X0,X1] : sum(additive_identity,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f76123,f75761]) ).
fof(f76389,plain,
! [X0,X1,X2] : product(X0,X1,X2),
inference(backward_subsumption_resolution,[status(thm)],[f1233,f76153]) ).
fof(f76808,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sum(X2,X4,X6)
| ~ sum(X1,X3,X5)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f31,f76389]) ).
fof(f77114,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sum(X5,X2,X6)
| ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f76808,f76389]) ).
fof(f77439,plain,
! [X0,X1,X2,X3,X4,X5] :
( sum(X3,X4,X5)
| ~ sum(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f77114,f76389]) ).
fof(f77440,plain,
! [X0,X1,X2] : sum(X0,X1,X2),
inference(resolution,[status(thm)],[f77439,f24150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO008-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n019.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 13:47:50 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 150.59/27.92 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 150.59/27.92 % SZS output start Saturation for theBenchmark
% See solution above
% 150.59/27.96 % Elapsed time: 27.518701 seconds
% 150.59/27.96 % CPU time: 217.188409 seconds
% 150.59/27.96 % Total memory used: 317.887 MB
% 150.59/27.96 % Net memory used: 245.665 MB
%------------------------------------------------------------------------------