%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO012-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 12:06:44 PM UTC 2026
% Result : Unsatisfiable 66.64s 8.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO012-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 13:53:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 66.64/8.87 % Refutation found
% 66.64/8.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 66.64/8.87 % SZS output start CNFRefutation for theBenchmark
% 66.64/8.87 fof(f1,axiom,(
% 66.64/8.87 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f2,axiom,(
% 66.64/8.87 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f3,axiom,(
% 66.64/8.87 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f4,axiom,(
% 66.64/8.87 (![X,Y,Z]: (( ~ product(X,Y,Z)| product(Y,X,Z) ) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f5,axiom,(
% 66.64/8.87 (![X]: (sum(additive_identity,X,X) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f7,axiom,(
% 66.64/8.87 (![X]: (product(multiplicative_identity,X,X) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f10,axiom,(
% 66.64/8.87 (![X,Y,V1,Z,V2,V3,V4]: (( ~ product(X,Y,V1)| ~ product(X,Z,V2)| ~ sum(Y,Z,V3)| ~ sum(V1,V2,V4)| product(X,V3,V4) ) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f17,axiom,(
% 66.64/8.87 (![X]: (sum(inverse(X),X,multiplicative_identity) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f20,axiom,(
% 66.64/8.87 (![X]: (product(X,inverse(X),additive_identity) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f21,axiom,(
% 66.64/8.87 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f22,axiom,(
% 66.64/8.87 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| U = V ) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f27,axiom,(
% 66.64/8.87 (![X,Y,Z]: (( ~ product(X,Y,Z)| sum(X,Z,X) ) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f28,axiom,(
% 66.64/8.87 (![X,Y,Z]: (( ~ sum(X,Y,Z)| product(X,Z,X) ) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f29,axiom,(
% 66.64/8.87 (![X,Y]: (sum(X,multiply(X,Y),X) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f31,axiom,(
% 66.64/8.87 (![X,Y,X_plus_Y,Z,Y_plus_Z,X_plus_Y_plus_Z]: (( ~ sum(X,Y,X_plus_Y)| ~ sum(Y,Z,Y_plus_Z)| ~ sum(X,Y_plus_Z,X_plus_Y_plus_Z)| sum(X_plus_Y,Z,X_plus_Y_plus_Z) ) ))),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f35,negated_conjecture,(
% 66.64/8.87 inverse(inverse(x)) != x ),
% 66.64/8.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.64/8.87 fof(f36,plain,(
% 66.64/8.87 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 66.64/8.87 inference(cnf_transformation,[status(thm)],[f1])).
% 66.64/8.87 fof(f37,plain,(
% 66.64/8.87 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 66.64/8.87 inference(cnf_transformation,[status(thm)],[f2])).
% 66.64/8.87 fof(f38,plain,(
% 66.64/8.87 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 66.64/8.87 inference(cnf_transformation,[status(thm)],[f3])).
% 66.64/8.87 fof(f39,plain,(
% 66.64/8.87 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X1,X0,X2))),
% 66.64/8.87 inference(cnf_transformation,[status(thm)],[f4])).
% 66.64/8.87 fof(f40,plain,(
% 66.64/8.87 ![X0]: (sum(additive_identity,X0,X0))),
% 66.64/8.87 inference(cnf_transformation,[status(thm)],[f5])).
% 66.64/8.87 fof(f42,plain,(
% 66.64/8.87 ![X0]: (product(multiplicative_identity,X0,X0))),
% 66.64/8.87 inference(cnf_transformation,[status(thm)],[f7])).
% 66.64/8.87 fof(f46,plain,(
% 66.64/8.87 ![X,V3,V4]: ((![V1,V2]: ((![Y,Z]: ((~product(X,Y,V1)|~product(X,Z,V2))|~sum(Y,Z,V3)))|~sum(V1,V2,V4)))|product(X,V3,V4))),
% 66.64/8.87 inference(miniscoping,[status(thm)],[f10])).
% 66.64/8.87 fof(f47,plain,(
% 66.64/8.87 ![X0,X1,X2,X3,X4,X5,X6]: (~product(X0,X1,X2)|~product(X0,X3,X4)|~sum(X1,X3,X5)|~sum(X2,X4,X6)|product(X0,X5,X6))),
% 66.64/8.87 inference(cnf_transformation,[status(thm)],[f46])).
% 66.64/8.87 fof(f60,plain,(
% 66.64/8.87 ![X0]: (sum(inverse(X0),X0,multiplicative_identity))),
% 66.64/8.87 inference(cnf_transformation,[status(thm)],[f17])).
% 66.64/8.87 fof(f63,plain,(
% 66.64/8.87 ![X0]: (product(X0,inverse(X0),additive_identity))),
% 66.64/8.87 inference(cnf_transformation,[status(thm)],[f20])).
% 66.64/8.87 fof(f64,plain,(
% 66.64/8.87 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 66.64/8.87 inference(miniscoping,[status(thm)],[f21])).
% 66.64/8.87 fof(f65,plain,(
% 66.64/8.87 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 66.64/8.87 inference(cnf_transformation,[status(thm)],[f64])).
% 66.64/8.87 fof(f66,plain,(
% 66.64/8.87 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|U=V)),
% 66.64/8.87 inference(miniscoping,[status(thm)],[f22])).
% 66.64/8.87 fof(f67,plain,(
% 66.64/8.87 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 66.64/8.88 inference(cnf_transformation,[status(thm)],[f66])).
% 66.64/8.88 fof(f72,plain,(
% 66.64/8.88 ![X,Z]: ((![Y]: ~product(X,Y,Z))|sum(X,Z,X))),
% 66.64/8.88 inference(miniscoping,[status(thm)],[f27])).
% 66.64/8.88 fof(f73,plain,(
% 66.64/8.88 ![X0,X1,X2]: (~product(X0,X1,X2)|sum(X0,X2,X0))),
% 66.64/8.88 inference(cnf_transformation,[status(thm)],[f72])).
% 66.64/8.88 fof(f74,plain,(
% 66.64/8.88 ![X,Z]: ((![Y]: ~sum(X,Y,Z))|product(X,Z,X))),
% 66.64/8.88 inference(miniscoping,[status(thm)],[f28])).
% 66.64/8.88 fof(f75,plain,(
% 66.64/8.88 ![X0,X1,X2]: (~sum(X0,X1,X2)|product(X0,X2,X0))),
% 66.64/8.88 inference(cnf_transformation,[status(thm)],[f74])).
% 66.64/8.88 fof(f76,plain,(
% 66.64/8.88 ![X0,X1]: (sum(X0,multiply(X0,X1),X0))),
% 66.64/8.88 inference(cnf_transformation,[status(thm)],[f29])).
% 66.64/8.88 fof(f78,plain,(
% 66.64/8.88 ![X_plus_Y,Z,X_plus_Y_plus_Z]: ((![X,Y_plus_Z]: ((![Y]: (~sum(X,Y,X_plus_Y)|~sum(Y,Z,Y_plus_Z)))|~sum(X,Y_plus_Z,X_plus_Y_plus_Z)))|sum(X_plus_Y,Z,X_plus_Y_plus_Z))),
% 66.64/8.88 inference(miniscoping,[status(thm)],[f31])).
% 66.64/8.88 fof(f79,plain,(
% 66.64/8.88 ![X0,X1,X2,X3,X4,X5]: (~sum(X0,X1,X2)|~sum(X1,X3,X4)|~sum(X0,X4,X5)|sum(X2,X3,X5))),
% 66.64/8.88 inference(cnf_transformation,[status(thm)],[f78])).
% 66.64/8.88 fof(f86,plain,(
% 66.64/8.88 ~inverse(inverse(x))=x),
% 66.64/8.88 inference(cnf_transformation,[status(thm)],[f35])).
% 66.64/8.88 fof(f89,plain,(
% 66.64/8.88 ![X0,X1]: (sum(multiply(X0,X1),X0,X0))),
% 66.64/8.88 inference(resolution,[status(thm)],[f38,f76])).
% 66.64/8.88 fof(f93,plain,(
% 66.64/8.88 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 66.64/8.88 inference(resolution,[status(thm)],[f38,f36])).
% 66.64/8.88 fof(f102,plain,(
% 66.64/8.88 ![X0,X1]: (product(X0,X1,multiply(X1,X0)))),
% 66.64/8.88 inference(resolution,[status(thm)],[f39,f37])).
% 66.64/8.88 fof(f155,plain,(
% 66.64/8.88 ![X0,X1]: (sum(X0,multiply(X1,X0),X0))),
% 66.64/8.88 inference(resolution,[status(thm)],[f73,f102])).
% 66.64/8.88 fof(f158,plain,(
% 66.64/8.88 ![X0,X1]: (sum(multiply(X0,X1),X1,X1))),
% 66.64/8.88 inference(resolution,[status(thm)],[f155,f38])).
% 66.64/8.88 fof(f161,plain,(
% 66.64/8.88 ![X0,X1]: (product(multiply(X0,X1),X0,multiply(X0,X1)))),
% 66.64/8.88 inference(resolution,[status(thm)],[f75,f89])).
% 66.64/8.88 fof(f170,plain,(
% 66.64/8.88 ![X0,X1]: (product(X0,add(X1,X0),X0))),
% 66.64/8.88 inference(resolution,[status(thm)],[f75,f93])).
% 66.64/8.88 fof(f178,plain,(
% 66.64/8.88 ![X0,X1]: (product(add(X0,X1),X1,X1))),
% 66.64/8.88 inference(resolution,[status(thm)],[f170,f39])).
% 66.64/8.88 fof(f179,plain,(
% 66.64/8.88 ![X0,X1]: (sum(add(X0,X1),X1,add(X0,X1)))),
% 66.64/8.88 inference(resolution,[status(thm)],[f178,f73])).
% 66.64/8.88 fof(f231,plain,(
% 66.64/8.88 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~sum(X1,inverse(X0),X3)|~sum(X2,additive_identity,X4)|product(X0,X3,X4))),
% 66.64/8.88 inference(resolution,[status(thm)],[f47,f63])).
% 66.64/8.88 fof(f489,plain,(
% 66.64/8.88 ![X0,X1,X2]: (~sum(multiply(X0,X1),X1,X2)|X2=X1)),
% 66.64/8.88 inference(resolution,[status(thm)],[f65,f158])).
% 66.64/8.88 fof(f497,plain,(
% 66.64/8.88 ![X0,X1]: (~sum(additive_identity,X0,X1)|X1=X0)),
% 66.64/8.88 inference(resolution,[status(thm)],[f65,f40])).
% 66.64/8.88 fof(f509,plain,(
% 66.64/8.88 ![X0,X1,X2]: (~sum(X0,X1,X2)|X2=add(X1,X0))),
% 66.64/8.88 inference(resolution,[status(thm)],[f65,f93])).
% 66.64/8.88 fof(f510,plain,(
% 66.64/8.88 ![X0,X1,X2]: (~sum(X0,X1,X2)|X2=add(X0,X1))),
% 66.64/8.88 inference(resolution,[status(thm)],[f65,f36])).
% 66.64/8.88 fof(f558,plain,(
% 66.64/8.88 ![X0]: (add(X0,additive_identity)=X0)),
% 66.64/8.88 inference(resolution,[status(thm)],[f497,f93])).
% 66.64/8.88 fof(f1327,plain,(
% 66.64/8.88 ![X0,X1]: (add(X0,multiply(X1,X0))=X0)),
% 66.64/8.88 inference(resolution,[status(thm)],[f489,f93])).
% 66.64/8.88 fof(f1483,plain,(
% 66.64/8.88 ![X0,X1]: (add(X0,X1)=add(X1,add(X0,X1)))),
% 66.64/8.88 inference(resolution,[status(thm)],[f509,f179])).
% 66.64/8.88 fof(f1498,plain,(
% 66.64/8.88 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 66.64/8.88 inference(resolution,[status(thm)],[f509,f36])).
% 66.64/8.88 fof(f1524,plain,(
% 66.64/8.88 ![X0,X1]: (sum(add(X0,X1),X1,add(X1,X0)))),
% 66.64/8.88 inference(paramodulation,[status(thm)],[f1498,f179])).
% 66.64/8.88 fof(f1621,plain,(
% 66.64/8.88 ![X0,X1]: (add(X0,X1)=add(X1,add(X1,X0)))),
% 66.64/8.88 inference(paramodulation,[status(thm)],[f1498,f1483])).
% 66.64/8.88 fof(f1829,plain,(
% 66.64/8.88 ![X0,X1]: (~product(multiplicative_identity,X0,X1)|X1=X0)),
% 66.64/8.88 inference(resolution,[status(thm)],[f67,f42])).
% 66.64/8.88 fof(f1838,plain,(
% 66.64/8.88 ![X0,X1,X2]: (~product(X0,X1,X2)|X2=multiply(X1,X0))),
% 66.64/8.88 inference(resolution,[status(thm)],[f67,f102])).
% 66.64/8.88 fof(f1839,plain,(
% 66.64/8.88 ![X0,X1,X2]: (~product(X0,X1,X2)|X2=multiply(X0,X1))),
% 66.64/8.88 inference(resolution,[status(thm)],[f67,f37])).
% 66.64/8.88 fof(f1856,plain,(
% 66.64/8.88 ![X0,X1,X2,X3]: (~sum(X0,inverse(X1),X2)|~sum(X0,multiplicative_identity,X3)|sum(X2,X1,X3))),
% 66.64/8.88 inference(resolution,[status(thm)],[f79,f60])).
% 66.64/8.88 fof(f2010,plain,(
% 66.64/8.88 ![X0,X1,X2,X3]: (~product(X0,X1,add(X2,additive_identity))|~sum(X1,inverse(X0),X3)|product(X0,X3,add(X2,additive_identity)))),
% 66.64/8.88 inference(resolution,[status(thm)],[f231,f179])).
% 66.64/8.88 fof(f2024,plain,(
% 66.64/8.88 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~sum(X1,inverse(X0),X3)|product(X0,X3,add(X2,additive_identity)))),
% 66.64/8.88 inference(forward_demodulation,[status(thm)],[f558,f2010])).
% 66.64/8.88 fof(f2025,plain,(
% 66.64/8.88 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~sum(X1,inverse(X0),X3)|product(X0,X3,X2))),
% 66.64/8.88 inference(forward_demodulation,[status(thm)],[f558,f2024])).
% 66.64/8.88 fof(f2213,plain,(
% 66.64/8.88 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 66.64/8.88 inference(resolution,[status(thm)],[f1829,f102])).
% 66.64/8.88 fof(f2214,plain,(
% 66.64/8.88 ![X0]: (multiply(multiplicative_identity,X0)=X0)),
% 66.64/8.88 inference(resolution,[status(thm)],[f1829,f37])).
% 66.64/8.88 fof(f3256,plain,(
% 66.64/8.88 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 66.64/8.88 inference(resolution,[status(thm)],[f1838,f37])).
% 66.64/8.88 fof(f3297,plain,(
% 66.64/8.88 ![X0,X1]: (product(multiply(X0,X1),X1,multiply(X1,X0)))),
% 66.64/8.88 inference(paramodulation,[status(thm)],[f3256,f161])).
% 66.64/8.88 fof(f5216,plain,(
% 66.64/8.88 ![X0,X1,X2]: (~product(multiply(X0,X1),X1,X2)|X2=multiply(X1,X0))),
% 66.64/8.88 inference(resolution,[status(thm)],[f3297,f67])).
% 66.64/8.88 fof(f10219,plain,(
% 66.64/8.88 ![X0,X1]: (~product(X0,inverse(inverse(X0)),X1)|product(X0,multiplicative_identity,X1))),
% 66.64/8.88 inference(resolution,[status(thm)],[f2025,f60])).
% 66.64/8.88 fof(f10221,plain,(
% 66.64/8.88 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X0,add(inverse(X0),X1),X2))),
% 66.64/8.88 inference(resolution,[status(thm)],[f2025,f93])).
% 66.64/8.88 fof(f10307,plain,(
% 66.64/8.88 ![X0]: (product(X0,multiplicative_identity,multiply(inverse(inverse(X0)),X0)))),
% 66.64/8.88 inference(resolution,[status(thm)],[f10219,f102])).
% 66.64/8.88 fof(f10318,plain,(
% 66.64/8.88 ![X0]: (product(X0,multiplicative_identity,multiply(X0,inverse(inverse(X0)))))),
% 66.64/8.88 inference(forward_demodulation,[status(thm)],[f3256,f10307])).
% 66.64/8.88 fof(f10356,plain,(
% 66.64/8.88 ![X0]: (multiply(multiply(X0,multiplicative_identity),inverse(inverse(multiply(X0,multiplicative_identity))))=multiply(multiplicative_identity,X0))),
% 66.64/8.88 inference(resolution,[status(thm)],[f10318,f5216])).
% 66.64/8.88 fof(f10434,plain,(
% 66.64/8.88 ![X0]: (multiply(X0,inverse(inverse(multiply(X0,multiplicative_identity))))=multiply(multiplicative_identity,X0))),
% 66.64/8.88 inference(forward_demodulation,[status(thm)],[f2213,f10356])).
% 66.64/8.88 fof(f10435,plain,(
% 66.64/8.88 ![X0]: (multiply(X0,inverse(inverse(X0)))=multiply(multiplicative_identity,X0))),
% 66.64/8.88 inference(forward_demodulation,[status(thm)],[f2213,f10434])).
% 66.64/8.88 fof(f10436,plain,(
% 66.64/8.88 ![X0]: (multiply(X0,inverse(inverse(X0)))=X0)),
% 66.64/8.88 inference(forward_demodulation,[status(thm)],[f2214,f10435])).
% 66.64/8.88 fof(f10567,plain,(
% 66.64/8.88 ![X0]: (add(inverse(inverse(X0)),X0)=inverse(inverse(X0)))),
% 66.64/8.88 inference(paramodulation,[status(thm)],[f10436,f1327])).
% 66.64/8.88 fof(f10639,plain,(
% 66.64/8.88 ![X0]: (add(X0,inverse(inverse(X0)))=inverse(inverse(X0)))),
% 66.64/8.88 inference(forward_demodulation,[status(thm)],[f1498,f10567])).
% 66.64/8.88 fof(f12415,plain,(
% 66.64/8.88 ![X0,X1]: (product(X0,add(inverse(X0),X1),multiply(X0,X1)))),
% 66.64/8.88 inference(resolution,[status(thm)],[f10221,f37])).
% 66.64/8.88 fof(f12876,plain,(
% 66.64/8.88 ![X0,X1]: (product(X0,add(inverse(X0),add(inverse(X0),X1)),multiply(X0,X1)))),
% 66.64/8.88 inference(resolution,[status(thm)],[f12415,f10221])).
% 66.64/8.88 fof(f12983,plain,(
% 66.64/8.88 ![X0,X1]: (product(X0,add(X1,inverse(X0)),multiply(X0,X1)))),
% 66.64/8.88 inference(forward_demodulation,[status(thm)],[f1621,f12876])).
% 66.64/8.88 fof(f14215,plain,(
% 66.64/8.88 ![X0,X1]: (multiply(X0,X1)=multiply(X0,add(X1,inverse(X0))))),
% 66.64/8.88 inference(resolution,[status(thm)],[f12983,f1839])).
% 66.64/8.88 fof(f15173,plain,(
% 66.64/8.88 ![X0,X1,X2]: (~sum(multiply(X0,multiplicative_identity),inverse(X1),X2)|sum(X2,X1,multiplicative_identity))),
% 66.64/8.88 inference(resolution,[status(thm)],[f1856,f158])).
% 66.64/8.88 fof(f15194,plain,(
% 66.64/8.88 ![X0,X1,X2]: (~sum(X0,inverse(X1),X2)|sum(X2,X1,multiplicative_identity))),
% 66.64/8.88 inference(forward_demodulation,[status(thm)],[f2213,f15173])).
% 66.64/8.88 fof(f15803,plain,(
% 66.64/8.88 ![X0,X1]: (sum(add(inverse(X0),X1),X0,multiplicative_identity))),
% 66.64/8.88 inference(resolution,[status(thm)],[f15194,f1524])).
% 66.64/8.88 fof(f15986,plain,(
% 66.64/8.88 ![X0,X1]: (multiplicative_identity=add(add(inverse(X0),X1),X0))),
% 66.64/8.88 inference(resolution,[status(thm)],[f15803,f510])).
% 66.64/8.88 fof(f16066,plain,(
% 66.64/8.88 ![X0,X1]: (multiplicative_identity=add(X0,add(inverse(X0),X1)))),
% 66.64/8.90 inference(forward_demodulation,[status(thm)],[f1498,f15986])).
% 66.64/8.90 fof(f16371,plain,(
% 66.64/8.90 ![X0]: (multiplicative_identity=add(X0,inverse(inverse(inverse(X0)))))),
% 66.64/8.90 inference(paramodulation,[status(thm)],[f10639,f16066])).
% 66.64/8.90 fof(f16962,plain,(
% 66.64/8.90 ![X0]: (multiply(inverse(inverse(X0)),X0)=multiply(inverse(inverse(X0)),multiplicative_identity))),
% 66.64/8.90 inference(paramodulation,[status(thm)],[f16371,f14215])).
% 66.64/8.90 fof(f17049,plain,(
% 66.64/8.90 ![X0]: (multiply(X0,inverse(inverse(X0)))=multiply(inverse(inverse(X0)),multiplicative_identity))),
% 66.64/8.90 inference(forward_demodulation,[status(thm)],[f3256,f16962])).
% 66.64/8.90 fof(f17050,plain,(
% 66.64/8.90 ![X0]: (X0=multiply(inverse(inverse(X0)),multiplicative_identity))),
% 66.64/8.90 inference(forward_demodulation,[status(thm)],[f10436,f17049])).
% 66.64/8.90 fof(f17051,plain,(
% 66.64/8.90 ![X0]: (X0=inverse(inverse(X0)))),
% 66.64/8.90 inference(forward_demodulation,[status(thm)],[f2213,f17050])).
% 66.64/8.90 fof(f17289,plain,(
% 66.64/8.90 ~x=x),
% 66.64/8.90 inference(backward_demodulation,[status(thm)],[f17051,f86])).
% 66.64/8.90 fof(f17407,plain,(
% 66.64/8.90 $false),
% 66.64/8.90 inference(trivial_equality_resolution,[status(thm)],[f17289])).
% 66.64/8.90 % SZS output end CNFRefutation for theBenchmark.p
% 66.64/8.92 % Elapsed time: 8.538817 seconds
% 66.64/8.92 % CPU time: 67.390065 seconds
% 66.64/8.92 % Total memory used: 229.364 MB
% 66.64/8.92 % Net memory used: 190.631 MB
%------------------------------------------------------------------------------