%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP417-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 : Fri Sep 25 01:33:51 PM UTC 2026
% Result : Unsatisfiable 40.51s 13.00s
% Output : CNFRefutation 40.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 2
% Syntax : Number of formulae : 79 ( 79 unt; 0 def)
% Number of atoms : 79 ( 78 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 214 ( 0 sgn 214 !; 0 ?; 211 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(multiply(X2,multiply(X1,X3))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X1),X1)))))))))) = multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(X3)))),inverse(multiply(inverse(X4),X4))))),
inference(superposition,[status(thm)],[c_51,c_95]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))))) = X2,
inference(superposition,[status(thm)],[c_95,c_51]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X0),X0))))) = X2,
inference(superposition,[status(thm)],[c_95,c_51]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(inverse(multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(multiply(inverse(multiply(X3,multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))))),multiply(X3,X4))),inverse(multiply(X2,multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))))))))) = X4,
inference(superposition,[status(thm)],[c_51,c_123]) ).
tcf(c_289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_133,c_51]) ).
tcf(c_454,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(inverse(X1),X1)))))))) = X2,
inference(superposition,[status(thm)],[c_289,c_133]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(superposition,[status(thm)],[c_289,c_51]) ).
tcf(c_610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),X3)),inverse(multiply(inverse(X0),X0))))))) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))))))),
inference(superposition,[status(thm)],[c_454,c_454]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X3))))))),X0)),X3)),inverse(multiply(inverse(X0),X0)))))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_470,c_51]) ).
tcf(c_2078,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = multiply(inverse(X0),X0),
inference(superposition,[status(thm)],[c_470,c_727]) ).
tcf(c_3805,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))))) = X2,
inference(superposition,[status(thm)],[c_610,c_454]) ).
tcf(c_4237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_123,c_3805]) ).
tcf(c_4248,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_2078,c_3805]) ).
tcf(c_5143,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_4248,c_4248]) ).
tcf(c_5429,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(X0)),inverse(X0))))))) = X0,
inference(superposition,[status(thm)],[c_5143,c_51]) ).
tcf(c_5490,plain,
! [X0: $i,X1: $i] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X0),X0))))))) = X0,
inference(superposition,[status(thm)],[c_5143,c_123]) ).
tcf(c_5495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X0)),
inference(superposition,[status(thm)],[c_5143,c_4237]) ).
tcf(c_5508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_5143,c_4237]) ).
tcf(c_6400,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))))) = X0,
inference(superposition,[status(thm)],[c_5143,c_5490]) ).
tcf(c_6749,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))))) = X0,
inference(superposition,[status(thm)],[c_5143,c_5429]) ).
tcf(c_6776,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1)))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_5143,c_6749]) ).
tcf(c_6829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))))),multiply(inverse(X3),X3)) = multiply(X4,multiply(inverse(X4),X0)),
inference(superposition,[status(thm)],[c_6749,c_5495]) ).
tcf(c_6832,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X1,multiply(inverse(X2),X2)),
inference(light_normalisation,[status(thm)],[c_6829,c_6749]) ).
tcf(c_6946,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_6832,c_6832]) ).
tcf(c_8055,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))) = X0,
inference(superposition,[status(thm)],[c_6776,c_6749]) ).
tcf(c_8056,plain,
! [X0: $i,X1: $i] : inverse(inverse(multiply(X0,inverse(multiply(inverse(X1),X1))))) = X0,
inference(superposition,[status(thm)],[c_6776,c_6400]) ).
tcf(c_8105,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(demodulation,[status(thm)],[c_6776,c_8055]) ).
tcf(c_8106,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = X0,
inference(demodulation,[status(thm)],[c_6749,c_8055]) ).
tcf(c_8107,plain,
! [X0: $i,X1: $i] : inverse(inverse(multiply(X0,multiply(inverse(X1),X1)))) = X0,
inference(demodulation,[status(thm)],[c_6400,c_8055]) ).
tcf(c_8478,plain,
! [X0: $i,X1: $i] : inverse(inverse(multiply(inverse(X0),X0))) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_8105,c_8105]) ).
tcf(c_8843,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = multiply(inverse(X2),X1),
inference(superposition,[status(thm)],[c_5495,c_8106]) ).
tcf(c_8853,plain,
! [X0: $i,X1: $i] : inverse(multiply(X0,multiply(inverse(X0),inverse(X1)))) = X1,
inference(superposition,[status(thm)],[c_6946,c_8106]) ).
tcf(c_8873,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(X0),multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X2)))) = X0,
inference(superposition,[status(thm)],[c_8105,c_8106]) ).
tcf(c_8882,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(inverse(X1),X1)) = inverse(multiply(X0,multiply(inverse(X2),X2))),
inference(superposition,[status(thm)],[c_8106,c_8106]) ).
tcf(c_8954,plain,
! [X0: $i,X1: $i] : inverse(inverse(multiply(X0,multiply(inverse(X0),X1)))) = X1,
inference(superposition,[status(thm)],[c_6946,c_8107]) ).
tcf(c_9449,plain,
! [X0: $i,X1: $i] : inverse(inverse(multiply(X0,inverse(inverse(multiply(inverse(X1),X1)))))) = X0,
inference(superposition,[status(thm)],[c_8105,c_8056]) ).
tcf(c_9863,plain,
! [X0: $i,X1: $i] : inverse(inverse(inverse(multiply(inverse(X0),X0)))) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_8478,c_8106]) ).
tcf(c_10719,plain,
! [X0: $i,X1: $i] : inverse(inverse(multiply(X0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(X1),X1))))))))) = X0,
inference(superposition,[status(thm)],[c_9863,c_9449]) ).
tcf(c_15475,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X2))) = multiply(inverse(X2),X1),
inference(superposition,[status(thm)],[c_8105,c_8843]) ).
tcf(c_15635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(multiply(inverse(X0),X1),multiply(inverse(multiply(X2,X1)),X3))) = multiply(inverse(X3),multiply(X2,X0)),
inference(superposition,[status(thm)],[c_8843,c_8843]) ).
tcf(c_19221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : inverse(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2))),multiply(X2,multiply(X1,X3)))) = multiply(X4,multiply(inverse(multiply(X5,X4)),multiply(X5,inverse(X3)))),
inference(demodulation,[status(thm)],[c_112,c_8055]) ).
tcf(c_19732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(inverse(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2))),multiply(X2,multiply(X1,X3))))) = X3,
inference(superposition,[status(thm)],[c_19221,c_8106]) ).
tcf(c_24451,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = multiply(multiply(inverse(X2),X2),X1),
inference(superposition,[status(thm)],[c_8873,c_8843]) ).
tcf(c_26458,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_8882,c_8853]) ).
tcf(c_27098,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))) = X1,
inference(superposition,[status(thm)],[c_26458,c_6946]) ).
tcf(c_27484,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),inverse(inverse(X1))) = inverse(inverse(multiply(X0,X1))),
inference(superposition,[status(thm)],[c_27098,c_8954]) ).
tcf(c_29346,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),inverse(inverse(multiply(X0,X1)))) = X1,
inference(superposition,[status(thm)],[c_27484,c_27098]) ).
tcf(c_29592,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(inverse(multiply(X0,X1)))),X2) = inverse(multiply(inverse(multiply(inverse(X0),X2)),X1)),
inference(superposition,[status(thm)],[c_29346,c_8843]) ).
tcf(c_78554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : inverse(inverse(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2))),multiply(X2,multiply(X1,X3))))) = multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,multiply(inverse(X5),X5))),
inference(superposition,[status(thm)],[c_19221,c_15475]) ).
tcf(c_79075,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,multiply(inverse(X2),X2))) = X1,
inference(light_normalisation,[status(thm)],[c_78554,c_19732]) ).
tcf(c_79686,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),inverse(X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_79075,c_8843]) ).
tcf(c_79726,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(X1))) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_79075,c_8107]) ).
tcf(c_79746,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X0),inverse(X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_79075,c_8873]) ).
tcf(c_80167,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_10719,c_79746]) ).
tcf(c_80228,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(demodulation,[status(thm)],[c_24451,c_80167]) ).
tcf(c_80230,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(demodulation,[status(thm)],[c_5508,c_80228]) ).
tcf(c_80235,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(demodulation,[status(thm)],[c_8843,c_80230]) ).
tcf(c_80374,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = multiply(X2,multiply(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_80167,c_6946]) ).
tcf(c_80377,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(X1))) = X1,
inference(superposition,[status(thm)],[c_80167,c_8853]) ).
tcf(c_80392,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80377,c_79686,c_79726]) ).
tcf(c_80394,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80374,c_80228]) ).
tcf(c_80405,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_29346,c_80392]) ).
tcf(c_80465,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[status(thm)],[c_80392,c_80167]) ).
tcf(c_80672,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_80405,c_80235]) ).
tcf(c_80679,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_80392,c_80235]) ).
tcf(c_80732,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),inverse(multiply(X1,X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_80672,c_80672]) ).
tcf(c_80736,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_80672,c_80394]) ).
tcf(c_80743,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_80732,c_80392]) ).
tcf(c_80820,plain,
! [X0: $i,X1: $i] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_80743,c_80394]) ).
tcf(c_81148,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,inverse(X1)),inverse(X2)) = inverse(multiply(X2,multiply(X1,inverse(X0)))),
inference(superposition,[status(thm)],[c_80820,c_80820]) ).
tcf(c_81180,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(multiply(X0,inverse(X1)),multiply(X1,X2))) = X2,
inference(demodulation,[status(thm)],[c_209,c_15635,c_29592,c_80167,c_80230,c_80392,c_80465,c_80679,c_80736,c_80743,c_80820,c_81148]) ).
tcf(c_81228,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,inverse(X1)),multiply(X1,X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_81180,c_80394]) ).
tcf(c_81287,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_80736,c_81228]) ).
tcf(c_81323,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_81287]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP417-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.60 % Computer : n026.cluster.edu
% 0.12/5.60 % Model : x86_64 x86_64
% 0.12/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.60 % Memory : 8046.5625MB
% 0.12/5.60 % OS : Linux 6.8.0-71-generic
% 0.12/5.60 % CPULimit : 300
% 0.12/5.60 % WCLimit : 300
% 0.12/5.60 % DateTime : Wed Sep 23 14:45:16 UTC 2026
% 0.12/5.60 % CPUTime :
% 0.12/5.60 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.64 Running UEQ theorem proving
% 0.12/5.64 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.65
% 0.12/5.65 % ======== iProver multi-core TPTP/SMT =========
% 0.12/5.65
% 0.12/5.65 % Detected problem language: tptp
% 0.12/5.66 % Proving...
% 40.51/13.00 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 40.51/13.00 % SZS status Started for theBenchmark.p
% 40.51/13.00 % SZS status Unsatisfiable for theBenchmark.p
% 40.51/13.00
% 40.51/13.00 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 40.51/13.00
% 40.51/13.00 % ------ iProver source info
% 40.51/13.00
% 40.51/13.00 % git: date: 2026-07-19 20:42:38 +0200
% 40.51/13.00 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 40.51/13.00 % git: non_committed_changes: false
% 40.51/13.00
% 40.51/13.00 % ------ Parsing...% successful
% 40.51/13.00
% 40.51/13.00
% 40.51/13.00 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 40.51/13.00
% 40.51/13.00 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 40.51/13.00
% 40.51/13.00 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 40.51/13.00
% 40.51/13.00 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 40.51/13.00 % ------ Proving...
% 40.51/13.00 % ------ Problem Properties
% 40.51/13.00
% 40.51/13.00 %
% 40.51/13.00 % clauses 2
% 40.51/13.00 % conjectures 1
% 40.51/13.00 % EPR 0
% 40.51/13.00 % Horn 2
% 40.51/13.00 % unary 2
% 40.51/13.00 % binary 0
% 40.51/13.00 % lits 2
% 40.51/13.00 % lits eq 2
% 40.51/13.00 % fd_pure 0
% 40.51/13.00 % fd_pseudo 0
% 40.51/13.00 % fd_cond 0
% 40.51/13.00 % fd_pseudo_cond 0
% 40.51/13.00 % AC symbols 0
% 40.51/13.00
% 40.51/13.00 % ------ Input Options Time Limit: Unbounded
% 40.51/13.00
% 40.51/13.00
% 40.51/13.00 % ------
% 40.51/13.00 % Current options:
% 40.51/13.00 % ------
% 40.51/13.00
% 40.51/13.00
% 40.51/13.00 %
% 40.51/13.00
% 40.51/13.00 % ------ Proving...
% 40.51/13.00 %
% 40.51/13.00
% 40.51/13.00 % SZS status Unsatisfiable for theBenchmark.p
% 40.51/13.00
% 40.51/13.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 40.51/13.01
% 40.51/13.01
%------------------------------------------------------------------------------