TSTP Solution File: RNG008-7 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG008-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:54:39 EDT 2023
% Result : Unsatisfiable 7.29s 1.64s
% Output : CNFRefutation 7.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 10
% Syntax : Number of clauses : 219 ( 219 unt; 0 nHn; 123 RR)
% Number of literals : 219 ( 218 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 117 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boolean_ring) ).
cnf(c_50,negated_conjecture,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(c_51,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity) ).
cnf(c_53,plain,
add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',right_additive_identity) ).
cnf(c_55,plain,
add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',right_additive_inverse) ).
cnf(c_56,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',associativity_for_addition) ).
cnf(c_57,plain,
add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',commutativity_for_addition) ).
cnf(c_58,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',associativity_for_multiplication) ).
cnf(c_59,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',distribute1) ).
cnf(c_60,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',distribute2) ).
cnf(c_170,plain,
add(additive_identity,X0) = X0,
inference(superposition,[status(thm)],[c_53,c_57]) ).
cnf(c_177,plain,
additive_inverse(additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_170,c_55]) ).
cnf(c_185,plain,
add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_187,plain,
add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_56,c_55]) ).
cnf(c_192,plain,
multiply(X0,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_49,c_58]) ).
cnf(c_193,plain,
multiply(a,multiply(b,X0)) = multiply(c,X0),
inference(superposition,[status(thm)],[c_50,c_58]) ).
cnf(c_194,plain,
multiply(X0,multiply(X1,multiply(X0,X1))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_58,c_49]) ).
cnf(c_200,plain,
multiply(X0,add(X0,X1)) = add(X0,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_49,c_59]) ).
cnf(c_201,plain,
multiply(a,add(b,X0)) = add(c,multiply(a,X0)),
inference(superposition,[status(thm)],[c_50,c_59]) ).
cnf(c_203,plain,
multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[c_49,c_59]) ).
cnf(c_204,plain,
multiply(a,add(X0,b)) = add(multiply(a,X0),c),
inference(superposition,[status(thm)],[c_50,c_59]) ).
cnf(c_209,plain,
multiply(a,add(X0,b)) = add(c,multiply(a,X0)),
inference(theory_normalisation,[status(thm)],[c_204,c_56,c_57]) ).
cnf(c_210,plain,
multiply(X0,add(X1,X0)) = add(X0,multiply(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_203,c_56,c_57]) ).
cnf(c_220,plain,
multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_60]) ).
cnf(c_221,plain,
multiply(add(a,X0),b) = add(c,multiply(X0,b)),
inference(superposition,[status(thm)],[c_50,c_60]) ).
cnf(c_223,plain,
multiply(add(X0,X1),X1) = add(multiply(X0,X1),X1),
inference(superposition,[status(thm)],[c_49,c_60]) ).
cnf(c_224,plain,
multiply(add(X0,a),b) = add(multiply(X0,b),c),
inference(superposition,[status(thm)],[c_50,c_60]) ).
cnf(c_230,plain,
multiply(add(X0,a),b) = add(c,multiply(X0,b)),
inference(theory_normalisation,[status(thm)],[c_224,c_56,c_57]) ).
cnf(c_231,plain,
multiply(add(X0,X1),X1) = add(X1,multiply(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_223,c_56,c_57]) ).
cnf(c_240,plain,
multiply(a,c) = c,
inference(superposition,[status(thm)],[c_50,c_192]) ).
cnf(c_257,plain,
multiply(add(a,X0),c) = add(c,multiply(X0,c)),
inference(superposition,[status(thm)],[c_240,c_60]) ).
cnf(c_258,plain,
multiply(a,add(c,X0)) = add(c,multiply(a,X0)),
inference(superposition,[status(thm)],[c_240,c_59]) ).
cnf(c_269,plain,
multiply(a,b) = multiply(c,b),
inference(superposition,[status(thm)],[c_49,c_193]) ).
cnf(c_277,plain,
multiply(c,b) = c,
inference(light_normalisation,[status(thm)],[c_269,c_50]) ).
cnf(c_287,plain,
multiply(add(c,X0),b) = add(c,multiply(X0,b)),
inference(superposition,[status(thm)],[c_277,c_60]) ).
cnf(c_288,plain,
multiply(c,add(b,X0)) = add(c,multiply(c,X0)),
inference(superposition,[status(thm)],[c_277,c_59]) ).
cnf(c_298,plain,
add(c,multiply(a,additive_identity)) = multiply(a,b),
inference(superposition,[status(thm)],[c_53,c_201]) ).
cnf(c_299,plain,
add(c,multiply(a,additive_inverse(b))) = multiply(a,additive_identity),
inference(superposition,[status(thm)],[c_55,c_201]) ).
cnf(c_308,plain,
add(c,multiply(a,additive_identity)) = c,
inference(light_normalisation,[status(thm)],[c_298,c_50]) ).
cnf(c_319,plain,
add(c,add(multiply(a,additive_identity),X0)) = add(c,X0),
inference(superposition,[status(thm)],[c_308,c_56]) ).
cnf(c_338,plain,
add(additive_identity,additive_inverse(additive_inverse(X0))) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_55,c_185]) ).
cnf(c_339,plain,
add(X0,add(X1,additive_inverse(X0))) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_57,c_185]) ).
cnf(c_351,plain,
add(additive_identity,additive_inverse(additive_inverse(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_338,c_53]) ).
cnf(c_363,plain,
additive_inverse(additive_inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_351,c_170]) ).
cnf(c_401,plain,
add(c,add(multiply(a,additive_identity),additive_inverse(c))) = additive_identity,
inference(superposition,[status(thm)],[c_308,c_187]) ).
cnf(c_417,plain,
add(c,add(additive_inverse(c),multiply(a,additive_identity))) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_401,c_56,c_57]) ).
cnf(c_436,plain,
add(c,multiply(additive_inverse(a),b)) = multiply(additive_identity,b),
inference(superposition,[status(thm)],[c_55,c_221]) ).
cnf(c_466,plain,
add(c,add(multiply(a,additive_inverse(b)),X0)) = add(multiply(a,additive_identity),X0),
inference(superposition,[status(thm)],[c_299,c_56]) ).
cnf(c_504,plain,
add(additive_identity,multiply(a,additive_identity)) = additive_identity,
inference(superposition,[status(thm)],[c_417,c_185]) ).
cnf(c_512,plain,
multiply(a,additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_170,c_504]) ).
cnf(c_521,plain,
add(c,multiply(a,additive_inverse(b))) = additive_identity,
inference(demodulation,[status(thm)],[c_299,c_512]) ).
cnf(c_530,plain,
multiply(add(X0,a),additive_identity) = add(multiply(X0,additive_identity),additive_identity),
inference(superposition,[status(thm)],[c_512,c_60]) ).
cnf(c_531,plain,
multiply(add(X0,a),additive_identity) = add(additive_identity,multiply(X0,additive_identity)),
inference(theory_normalisation,[status(thm)],[c_530,c_56,c_57]) ).
cnf(c_539,plain,
add(c,add(multiply(a,additive_inverse(b)),X0)) = add(additive_identity,X0),
inference(superposition,[status(thm)],[c_521,c_56]) ).
cnf(c_544,plain,
add(c,add(multiply(a,additive_inverse(b)),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_539,c_170,c_466]) ).
cnf(c_566,plain,
additive_inverse(multiply(a,additive_inverse(b))) = add(c,additive_identity),
inference(superposition,[status(thm)],[c_55,c_544]) ).
cnf(c_577,plain,
add(additive_identity,multiply(a,additive_inverse(b))) = additive_inverse(c),
inference(superposition,[status(thm)],[c_544,c_339]) ).
cnf(c_579,plain,
additive_inverse(multiply(a,additive_inverse(b))) = add(additive_identity,c),
inference(theory_normalisation,[status(thm)],[c_566,c_56,c_57]) ).
cnf(c_616,plain,
multiply(a,additive_inverse(b)) = additive_inverse(c),
inference(superposition,[status(thm)],[c_170,c_577]) ).
cnf(c_622,plain,
add(additive_identity,c) = additive_inverse(additive_inverse(c)),
inference(demodulation,[status(thm)],[c_579,c_616]) ).
cnf(c_903,plain,
multiply(b,multiply(c,a)) = multiply(b,a),
inference(superposition,[status(thm)],[c_193,c_194]) ).
cnf(c_1042,plain,
multiply(b,multiply(multiply(c,a),X0)) = multiply(multiply(b,a),X0),
inference(superposition,[status(thm)],[c_903,c_58]) ).
cnf(c_1056,plain,
add(X0,multiply(X0,additive_identity)) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_53,c_200]) ).
cnf(c_1057,plain,
add(X0,multiply(X0,additive_inverse(X0))) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_55,c_200]) ).
cnf(c_1083,plain,
add(a,multiply(a,b)) = add(c,multiply(a,a)),
inference(superposition,[status(thm)],[c_200,c_209]) ).
cnf(c_1085,plain,
add(X0,multiply(X0,additive_identity)) = X0,
inference(light_normalisation,[status(thm)],[c_1056,c_49]) ).
cnf(c_1086,plain,
add(c,multiply(a,a)) = add(a,c),
inference(light_normalisation,[status(thm)],[c_1083,c_50]) ).
cnf(c_1130,plain,
add(additive_identity,multiply(additive_inverse(X0),additive_identity)) = add(X0,additive_inverse(X0)),
inference(superposition,[status(thm)],[c_1085,c_185]) ).
cnf(c_1137,plain,
add(additive_identity,multiply(additive_inverse(X0),additive_identity)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_1130,c_55]) ).
cnf(c_1245,plain,
add(additive_identity,multiply(X0,additive_identity)) = additive_identity,
inference(superposition,[status(thm)],[c_363,c_1137]) ).
cnf(c_1260,plain,
multiply(X0,additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_1245,c_170]) ).
cnf(c_1272,plain,
add(X0,multiply(X0,additive_inverse(X0))) = additive_identity,
inference(demodulation,[status(thm)],[c_1057,c_1260]) ).
cnf(c_1288,plain,
multiply(a,additive_identity) = multiply(c,additive_identity),
inference(superposition,[status(thm)],[c_1260,c_193]) ).
cnf(c_1299,plain,
add(c,add(multiply(a,a),additive_inverse(add(a,c)))) = additive_identity,
inference(superposition,[status(thm)],[c_1086,c_187]) ).
cnf(c_1300,plain,
add(c,add(multiply(a,a),X0)) = add(add(a,c),X0),
inference(superposition,[status(thm)],[c_1086,c_56]) ).
cnf(c_1303,plain,
add(c,add(multiply(a,a),X0)) = add(a,add(c,X0)),
inference(theory_normalisation,[status(thm)],[c_1300,c_56,c_57]) ).
cnf(c_1340,plain,
add(X0,multiply(additive_identity,X0)) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_53,c_220]) ).
cnf(c_1341,plain,
add(X0,multiply(additive_inverse(X0),X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_55,c_220]) ).
cnf(c_1364,plain,
add(b,multiply(a,b)) = add(c,multiply(b,b)),
inference(superposition,[status(thm)],[c_220,c_230]) ).
cnf(c_1367,plain,
add(X0,multiply(additive_identity,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1340,c_49]) ).
cnf(c_1368,plain,
add(c,multiply(b,b)) = add(b,c),
inference(light_normalisation,[status(thm)],[c_1364,c_50]) ).
cnf(c_1409,plain,
add(additive_identity,multiply(additive_identity,additive_inverse(X0))) = add(X0,additive_inverse(X0)),
inference(superposition,[status(thm)],[c_1367,c_185]) ).
cnf(c_1415,plain,
add(additive_identity,multiply(additive_identity,additive_inverse(X0))) = additive_identity,
inference(light_normalisation,[status(thm)],[c_1409,c_55]) ).
cnf(c_1473,plain,
add(additive_identity,multiply(additive_inverse(X0),additive_inverse(additive_inverse(X0)))) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_1272,c_185]) ).
cnf(c_1480,plain,
add(additive_identity,multiply(additive_inverse(X0),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1473,c_53,c_363]) ).
cnf(c_1497,plain,
add(additive_identity,multiply(additive_identity,X0)) = additive_identity,
inference(superposition,[status(thm)],[c_363,c_1415]) ).
cnf(c_1517,plain,
multiply(additive_identity,X0) = additive_identity,
inference(superposition,[status(thm)],[c_1497,c_170]) ).
cnf(c_1533,plain,
add(c,multiply(additive_inverse(a),b)) = additive_identity,
inference(demodulation,[status(thm)],[c_436,c_1517]) ).
cnf(c_1550,plain,
add(X0,multiply(additive_inverse(X0),X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_1341,c_1517]) ).
cnf(c_1562,plain,
add(X0,add(multiply(additive_inverse(X0),X0),additive_inverse(additive_identity))) = additive_identity,
inference(superposition,[status(thm)],[c_1550,c_187]) ).
cnf(c_1571,plain,
add(X0,add(additive_inverse(additive_identity),multiply(additive_inverse(X0),X0))) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_1562,c_56,c_57]) ).
cnf(c_1572,plain,
add(X0,X0) = additive_identity,
inference(light_normalisation,[status(thm)],[c_1571,c_177,c_1480]) ).
cnf(c_1649,plain,
add(c,multiply(additive_identity,c)) = multiply(a,c),
inference(superposition,[status(thm)],[c_53,c_257]) ).
cnf(c_1669,plain,
add(c,multiply(a,c)) = add(c,multiply(c,c)),
inference(superposition,[status(thm)],[c_257,c_231]) ).
cnf(c_1670,plain,
add(c,multiply(additive_identity,c)) = c,
inference(light_normalisation,[status(thm)],[c_1649,c_240]) ).
cnf(c_1671,plain,
add(c,multiply(c,c)) = add(c,c),
inference(light_normalisation,[status(thm)],[c_1669,c_240]) ).
cnf(c_1733,plain,
add(X0,add(X0,X1)) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_1572,c_56]) ).
cnf(c_1742,plain,
add(c,multiply(a,b)) = multiply(a,additive_identity),
inference(superposition,[status(thm)],[c_1572,c_201]) ).
cnf(c_1744,plain,
add(c,multiply(a,c)) = multiply(additive_identity,c),
inference(superposition,[status(thm)],[c_1572,c_257]) ).
cnf(c_1745,plain,
add(c,multiply(a,b)) = multiply(additive_identity,b),
inference(superposition,[status(thm)],[c_1572,c_221]) ).
cnf(c_1748,plain,
add(additive_identity,additive_inverse(X0)) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_1572,c_339]) ).
cnf(c_1751,plain,
add(additive_identity,additive_inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1748,c_53]) ).
cnf(c_1758,plain,
multiply(additive_identity,b) = add(c,c),
inference(light_normalisation,[status(thm)],[c_1745,c_50]) ).
cnf(c_1759,plain,
multiply(additive_identity,c) = add(c,c),
inference(light_normalisation,[status(thm)],[c_1744,c_240]) ).
cnf(c_1760,plain,
multiply(a,additive_identity) = add(c,c),
inference(light_normalisation,[status(thm)],[c_1742,c_50]) ).
cnf(c_1768,plain,
multiply(c,additive_identity) = add(c,c),
inference(demodulation,[status(thm)],[c_1288,c_1760]) ).
cnf(c_1775,plain,
add(additive_identity,add(additive_identity,c)) = additive_inverse(c),
inference(superposition,[status(thm)],[c_622,c_1751]) ).
cnf(c_1776,plain,
additive_inverse(X0) = X0,
inference(superposition,[status(thm)],[c_1751,c_170]) ).
cnf(c_1808,plain,
add(additive_identity,c) = additive_inverse(c),
inference(demodulation,[status(thm)],[c_622,c_1776]) ).
cnf(c_1845,plain,
add(c,add(a,c)) = add(additive_identity,multiply(a,a)),
inference(superposition,[status(thm)],[c_1086,c_1733]) ).
cnf(c_1861,plain,
add(a,add(c,c)) = add(additive_identity,multiply(a,a)),
inference(theory_normalisation,[status(thm)],[c_1845,c_56,c_57]) ).
cnf(c_1892,plain,
add(c,multiply(additive_identity,c)) = multiply(additive_inverse(c),c),
inference(superposition,[status(thm)],[c_1808,c_231]) ).
cnf(c_1894,plain,
add(additive_identity,multiply(additive_identity,c)) = multiply(additive_identity,additive_inverse(c)),
inference(superposition,[status(thm)],[c_1808,c_200]) ).
cnf(c_1896,plain,
add(c,multiply(c,additive_identity)) = multiply(c,additive_inverse(c)),
inference(superposition,[status(thm)],[c_1808,c_210]) ).
cnf(c_1898,plain,
add(c,add(c,c)) = multiply(c,additive_inverse(c)),
inference(light_normalisation,[status(thm)],[c_1896,c_1768]) ).
cnf(c_1899,plain,
add(additive_identity,add(c,c)) = multiply(additive_identity,additive_inverse(c)),
inference(light_normalisation,[status(thm)],[c_1894,c_1759]) ).
cnf(c_1901,plain,
multiply(additive_inverse(c),c) = c,
inference(light_normalisation,[status(thm)],[c_1892,c_1670]) ).
cnf(c_2007,plain,
add(multiply(X0,additive_identity),add(c,c)) = multiply(add(X0,a),additive_identity),
inference(superposition,[status(thm)],[c_1760,c_60]) ).
cnf(c_2011,plain,
add(c,add(c,multiply(X0,additive_identity))) = multiply(add(X0,a),additive_identity),
inference(theory_normalisation,[status(thm)],[c_2007,c_56,c_57]) ).
cnf(c_2012,plain,
add(c,add(c,additive_identity)) = add(additive_identity,additive_identity),
inference(light_normalisation,[status(thm)],[c_2011,c_531,c_1260]) ).
cnf(c_2013,plain,
add(additive_identity,add(c,c)) = add(additive_identity,additive_identity),
inference(theory_normalisation,[status(thm)],[c_2012,c_56,c_57]) ).
cnf(c_2014,plain,
multiply(additive_identity,additive_inverse(c)) = add(additive_identity,additive_identity),
inference(light_normalisation,[status(thm)],[c_2013,c_1899]) ).
cnf(c_2030,plain,
add(c,add(multiply(b,b),X0)) = add(add(b,c),X0),
inference(superposition,[status(thm)],[c_1368,c_56]) ).
cnf(c_2034,plain,
add(c,add(multiply(b,b),X0)) = add(b,add(c,X0)),
inference(theory_normalisation,[status(thm)],[c_2030,c_56,c_57]) ).
cnf(c_2039,plain,
add(c,multiply(a,additive_identity)) = multiply(a,c),
inference(superposition,[status(thm)],[c_53,c_258]) ).
cnf(c_2060,plain,
multiply(c,additive_inverse(c)) = c,
inference(light_normalisation,[status(thm)],[c_2039,c_240,c_1760,c_1898]) ).
cnf(c_2124,plain,
add(additive_identity,multiply(additive_inverse(a),b)) = add(c,additive_identity),
inference(superposition,[status(thm)],[c_1533,c_1733]) ).
cnf(c_2133,plain,
add(additive_identity,multiply(additive_inverse(a),b)) = add(additive_identity,c),
inference(theory_normalisation,[status(thm)],[c_2124,c_56,c_57]) ).
cnf(c_2134,plain,
add(additive_identity,multiply(additive_inverse(a),b)) = additive_inverse(c),
inference(light_normalisation,[status(thm)],[c_2133,c_1808]) ).
cnf(c_2252,plain,
add(c,multiply(multiply(additive_inverse(a),b),b)) = multiply(additive_identity,b),
inference(superposition,[status(thm)],[c_1533,c_287]) ).
cnf(c_2274,plain,
add(c,multiply(multiply(additive_inverse(a),b),b)) = add(c,c),
inference(light_normalisation,[status(thm)],[c_2252,c_1758]) ).
cnf(c_2414,plain,
multiply(additive_identity,c) = add(additive_identity,additive_identity),
inference(superposition,[status(thm)],[c_1776,c_2014]) ).
cnf(c_2431,plain,
add(c,c) = add(additive_identity,additive_identity),
inference(demodulation,[status(thm)],[c_1759,c_2414]) ).
cnf(c_2432,plain,
multiply(c,additive_identity) = add(additive_identity,additive_identity),
inference(demodulation,[status(thm)],[c_1768,c_2431]) ).
cnf(c_2433,plain,
multiply(a,additive_identity) = add(additive_identity,additive_identity),
inference(demodulation,[status(thm)],[c_1760,c_2431]) ).
cnf(c_2445,plain,
multiply(add(additive_identity,additive_identity),X0) = multiply(a,multiply(additive_identity,X0)),
inference(superposition,[status(thm)],[c_2433,c_58]) ).
cnf(c_2449,plain,
multiply(add(additive_identity,additive_identity),X0) = add(additive_identity,additive_identity),
inference(light_normalisation,[status(thm)],[c_2445,c_1517,c_2433]) ).
cnf(c_2493,plain,
add(c,add(add(additive_identity,additive_identity),X0)) = add(c,X0),
inference(light_normalisation,[status(thm)],[c_319,c_2433]) ).
cnf(c_2494,plain,
add(additive_identity,add(X0,add(additive_identity,c))) = add(c,X0),
inference(theory_normalisation,[status(thm)],[c_2493,c_56,c_57]) ).
cnf(c_2495,plain,
add(additive_identity,add(X0,additive_inverse(c))) = add(c,X0),
inference(light_normalisation,[status(thm)],[c_2494,c_1808]) ).
cnf(c_2505,plain,
add(additive_identity,add(X0,c)) = add(c,X0),
inference(superposition,[status(thm)],[c_1776,c_2495]) ).
cnf(c_2506,plain,
add(X0,additive_inverse(c)) = add(c,X0),
inference(superposition,[status(thm)],[c_2495,c_170]) ).
cnf(c_2568,plain,
multiply(c,add(additive_identity,additive_identity)) = add(c,multiply(c,c)),
inference(superposition,[status(thm)],[c_2431,c_210]) ).
cnf(c_2580,plain,
multiply(c,add(additive_identity,additive_identity)) = add(additive_identity,additive_identity),
inference(light_normalisation,[status(thm)],[c_2568,c_1671,c_2431]) ).
cnf(c_2606,plain,
add(multiply(c,X0),add(additive_identity,additive_identity)) = multiply(c,add(X0,additive_identity)),
inference(superposition,[status(thm)],[c_2432,c_59]) ).
cnf(c_2614,plain,
add(additive_identity,add(additive_identity,multiply(c,X0))) = multiply(c,add(X0,additive_identity)),
inference(theory_normalisation,[status(thm)],[c_2606,c_56,c_57]) ).
cnf(c_2615,plain,
add(additive_identity,add(additive_identity,multiply(c,X0))) = multiply(c,X0),
inference(light_normalisation,[status(thm)],[c_2614,c_53]) ).
cnf(c_2723,plain,
add(c,multiply(c,additive_inverse(c))) = multiply(c,add(c,b)),
inference(superposition,[status(thm)],[c_2506,c_288]) ).
cnf(c_2726,plain,
add(c,multiply(additive_inverse(c),c)) = multiply(add(c,a),c),
inference(superposition,[status(thm)],[c_2506,c_257]) ).
cnf(c_2737,plain,
add(c,multiply(additive_inverse(c),c)) = multiply(add(a,c),c),
inference(theory_normalisation,[status(thm)],[c_2726,c_56,c_57]) ).
cnf(c_2738,plain,
multiply(add(a,c),c) = add(additive_identity,additive_identity),
inference(light_normalisation,[status(thm)],[c_2737,c_1901,c_2431]) ).
cnf(c_2741,plain,
add(c,multiply(c,additive_inverse(c))) = multiply(c,add(b,c)),
inference(theory_normalisation,[status(thm)],[c_2723,c_56,c_57]) ).
cnf(c_2742,plain,
multiply(c,add(b,c)) = add(additive_identity,additive_identity),
inference(light_normalisation,[status(thm)],[c_2741,c_2060,c_2431]) ).
cnf(c_3041,plain,
multiply(additive_inverse(a),b) = additive_inverse(c),
inference(superposition,[status(thm)],[c_2134,c_170]) ).
cnf(c_3369,plain,
multiply(add(a,c),multiply(c,X0)) = multiply(add(additive_identity,additive_identity),X0),
inference(superposition,[status(thm)],[c_2738,c_58]) ).
cnf(c_3376,plain,
multiply(add(a,c),multiply(c,X0)) = add(additive_identity,additive_identity),
inference(light_normalisation,[status(thm)],[c_3369,c_2449]) ).
cnf(c_3426,plain,
multiply(c,multiply(add(b,c),X0)) = multiply(add(additive_identity,additive_identity),X0),
inference(superposition,[status(thm)],[c_2742,c_58]) ).
cnf(c_3434,plain,
multiply(c,multiply(add(b,c),X0)) = add(additive_identity,additive_identity),
inference(light_normalisation,[status(thm)],[c_3426,c_2449]) ).
cnf(c_4031,plain,
add(c,add(multiply(a,a),add(a,c))) = additive_identity,
inference(superposition,[status(thm)],[c_1776,c_1299]) ).
cnf(c_4043,plain,
add(a,add(c,add(c,multiply(a,a)))) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_4031,c_56,c_57]) ).
cnf(c_4044,plain,
add(a,add(c,add(a,c))) = additive_identity,
inference(light_normalisation,[status(thm)],[c_4043,c_1086]) ).
cnf(c_4045,plain,
add(a,add(a,add(c,c))) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_4044,c_56,c_57]) ).
cnf(c_4046,plain,
add(a,add(additive_identity,multiply(a,a))) = additive_identity,
inference(light_normalisation,[status(thm)],[c_4045,c_1861]) ).
cnf(c_4047,plain,
add(additive_identity,add(a,multiply(a,a))) = additive_identity,
inference(theory_normalisation,[status(thm)],[c_4046,c_56,c_57]) ).
cnf(c_4339,plain,
add(a,multiply(a,a)) = additive_identity,
inference(superposition,[status(thm)],[c_4047,c_170]) ).
cnf(c_4382,plain,
add(additive_identity,multiply(a,a)) = add(a,additive_identity),
inference(superposition,[status(thm)],[c_4339,c_1733]) ).
cnf(c_4393,plain,
add(additive_identity,multiply(a,a)) = add(additive_identity,a),
inference(theory_normalisation,[status(thm)],[c_4382,c_56,c_57]) ).
cnf(c_4512,plain,
multiply(a,a) = add(additive_identity,a),
inference(superposition,[status(thm)],[c_170,c_4393]) ).
cnf(c_4903,plain,
add(c,multiply(additive_inverse(c),b)) = add(additive_identity,additive_identity),
inference(light_normalisation,[status(thm)],[c_2274,c_2431,c_3041]) ).
cnf(c_4906,plain,
add(additive_identity,multiply(additive_inverse(c),b)) = add(c,add(additive_identity,additive_identity)),
inference(superposition,[status(thm)],[c_4903,c_1733]) ).
cnf(c_4917,plain,
add(additive_identity,multiply(additive_inverse(c),b)) = add(additive_identity,add(additive_identity,c)),
inference(theory_normalisation,[status(thm)],[c_4906,c_56,c_57]) ).
cnf(c_4918,plain,
add(additive_identity,multiply(additive_inverse(c),b)) = additive_inverse(c),
inference(light_normalisation,[status(thm)],[c_4917,c_1775]) ).
cnf(c_4934,plain,
multiply(additive_inverse(c),b) = additive_inverse(c),
inference(superposition,[status(thm)],[c_4918,c_170]) ).
cnf(c_5137,plain,
multiply(multiply(b,a),additive_identity) = multiply(b,additive_identity),
inference(superposition,[status(thm)],[c_1260,c_1042]) ).
cnf(c_5184,plain,
multiply(b,multiply(a,additive_identity)) = multiply(b,additive_identity),
inference(superposition,[status(thm)],[c_5137,c_58]) ).
cnf(c_5189,plain,
multiply(b,add(additive_identity,additive_identity)) = multiply(b,additive_identity),
inference(light_normalisation,[status(thm)],[c_5184,c_2433]) ).
cnf(c_5255,plain,
add(c,add(add(additive_identity,a),X0)) = add(a,add(c,X0)),
inference(light_normalisation,[status(thm)],[c_1303,c_4512]) ).
cnf(c_5256,plain,
add(additive_identity,add(X0,add(a,c))) = add(a,add(c,X0)),
inference(theory_normalisation,[status(thm)],[c_5255,c_56,c_57]) ).
cnf(c_5270,plain,
add(a,add(c,a)) = add(additive_identity,add(additive_identity,c)),
inference(superposition,[status(thm)],[c_1733,c_5256]) ).
cnf(c_5285,plain,
add(a,add(a,c)) = add(additive_identity,add(additive_identity,c)),
inference(theory_normalisation,[status(thm)],[c_5270,c_56,c_57]) ).
cnf(c_5286,plain,
add(a,add(a,c)) = additive_inverse(c),
inference(light_normalisation,[status(thm)],[c_5285,c_1775]) ).
cnf(c_5552,plain,
add(b,add(c,multiply(b,b))) = add(c,additive_identity),
inference(superposition,[status(thm)],[c_1572,c_2034]) ).
cnf(c_5569,plain,
add(b,add(c,multiply(b,b))) = add(additive_identity,c),
inference(theory_normalisation,[status(thm)],[c_5552,c_56,c_57]) ).
cnf(c_5570,plain,
add(b,add(b,c)) = additive_inverse(c),
inference(light_normalisation,[status(thm)],[c_5569,c_1368,c_1808]) ).
cnf(c_5612,plain,
add(additive_identity,add(b,c)) = add(b,additive_inverse(c)),
inference(superposition,[status(thm)],[c_5570,c_1733]) ).
cnf(c_5809,plain,
add(b,additive_inverse(c)) = add(c,b),
inference(superposition,[status(thm)],[c_5612,c_2505]) ).
cnf(c_5810,plain,
add(b,additive_inverse(c)) = add(b,c),
inference(theory_normalisation,[status(thm)],[c_5809,c_56,c_57]) ).
cnf(c_5824,plain,
add(b,multiply(additive_inverse(c),b)) = multiply(add(b,c),b),
inference(superposition,[status(thm)],[c_5810,c_220]) ).
cnf(c_5840,plain,
multiply(add(b,c),b) = add(b,c),
inference(light_normalisation,[status(thm)],[c_5824,c_4934,c_5810]) ).
cnf(c_5850,plain,
multiply(add(b,c),multiply(b,X0)) = multiply(add(b,c),X0),
inference(superposition,[status(thm)],[c_5840,c_58]) ).
cnf(c_7114,plain,
multiply(c,add(a,c)) = multiply(c,add(additive_identity,additive_identity)),
inference(superposition,[status(thm)],[c_3376,c_194]) ).
cnf(c_7119,plain,
multiply(c,add(a,c)) = add(additive_identity,additive_identity),
inference(light_normalisation,[status(thm)],[c_7114,c_2580]) ).
cnf(c_7167,plain,
multiply(c,add(X0,add(a,c))) = add(multiply(c,X0),add(additive_identity,additive_identity)),
inference(superposition,[status(thm)],[c_7119,c_59]) ).
cnf(c_7173,plain,
multiply(c,add(X0,add(a,c))) = add(additive_identity,add(additive_identity,multiply(c,X0))),
inference(theory_normalisation,[status(thm)],[c_7167,c_56,c_57]) ).
cnf(c_7174,plain,
multiply(c,add(X0,add(a,c))) = multiply(c,X0),
inference(light_normalisation,[status(thm)],[c_7173,c_2615]) ).
cnf(c_7233,plain,
multiply(c,additive_inverse(c)) = multiply(c,a),
inference(superposition,[status(thm)],[c_5286,c_7174]) ).
cnf(c_7248,plain,
multiply(c,a) = c,
inference(light_normalisation,[status(thm)],[c_7233,c_2060]) ).
cnf(c_7277,plain,
multiply(b,a) = multiply(b,c),
inference(demodulation,[status(thm)],[c_903,c_7248]) ).
cnf(c_7377,plain,
add(multiply(b,a),multiply(X0,c)) = multiply(add(b,X0),c),
inference(superposition,[status(thm)],[c_7277,c_60]) ).
cnf(c_7378,plain,
add(multiply(b,a),multiply(b,X0)) = multiply(b,add(c,X0)),
inference(superposition,[status(thm)],[c_7277,c_59]) ).
cnf(c_8125,plain,
multiply(add(b,c),c) = add(multiply(b,a),c),
inference(superposition,[status(thm)],[c_49,c_7377]) ).
cnf(c_8151,plain,
multiply(add(b,b),c) = multiply(b,add(a,c)),
inference(superposition,[status(thm)],[c_7377,c_59]) ).
cnf(c_8157,plain,
multiply(add(b,c),c) = add(c,multiply(b,a)),
inference(theory_normalisation,[status(thm)],[c_8125,c_56,c_57]) ).
cnf(c_8192,plain,
multiply(b,add(a,c)) = multiply(additive_identity,c),
inference(superposition,[status(thm)],[c_1572,c_8151]) ).
cnf(c_8203,plain,
multiply(b,add(a,c)) = add(additive_identity,additive_identity),
inference(light_normalisation,[status(thm)],[c_8192,c_2414]) ).
cnf(c_8206,plain,
multiply(add(b,b),c) = add(additive_identity,additive_identity),
inference(demodulation,[status(thm)],[c_8151,c_8203]) ).
cnf(c_8341,plain,
multiply(add(b,b),c) = multiply(b,add(c,c)),
inference(superposition,[status(thm)],[c_7378,c_7377]) ).
cnf(c_8346,plain,
multiply(b,additive_identity) = add(additive_identity,additive_identity),
inference(light_normalisation,[status(thm)],[c_8341,c_2431,c_5189,c_8206]) ).
cnf(c_8504,plain,
multiply(add(b,c),add(additive_identity,additive_identity)) = multiply(add(b,c),additive_identity),
inference(superposition,[status(thm)],[c_8346,c_5850]) ).
cnf(c_9667,plain,
multiply(add(b,c),add(additive_identity,additive_identity)) = multiply(add(b,c),c),
inference(superposition,[status(thm)],[c_3434,c_194]) ).
cnf(c_9677,plain,
multiply(add(b,c),additive_identity) = add(c,multiply(b,a)),
inference(light_normalisation,[status(thm)],[c_9667,c_8157,c_8504]) ).
cnf(c_28954,plain,
add(c,multiply(b,a)) = additive_identity,
inference(superposition,[status(thm)],[c_9677,c_1260]) ).
cnf(c_29003,plain,
add(c,add(multiply(b,a),X0)) = add(additive_identity,X0),
inference(superposition,[status(thm)],[c_28954,c_56]) ).
cnf(c_29038,plain,
add(c,add(multiply(b,a),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_29003,c_170]) ).
cnf(c_29071,plain,
multiply(b,a) = add(c,additive_identity),
inference(superposition,[status(thm)],[c_1572,c_29038]) ).
cnf(c_29107,plain,
multiply(b,a) = add(additive_identity,c),
inference(theory_normalisation,[status(thm)],[c_29071,c_56,c_57]) ).
cnf(c_29108,plain,
multiply(b,a) = additive_inverse(c),
inference(light_normalisation,[status(thm)],[c_29107,c_1808]) ).
cnf(c_29200,plain,
additive_inverse(c) != c,
inference(demodulation,[status(thm)],[c_51,c_29108]) ).
cnf(c_29201,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_29200,c_1776]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG008-7 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 02:22:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.29/1.64 % SZS status Started for theBenchmark.p
% 7.29/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.29/1.64
% 7.29/1.64 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.29/1.64
% 7.29/1.64 ------ iProver source info
% 7.29/1.64
% 7.29/1.64 git: date: 2023-05-31 18:12:56 +0000
% 7.29/1.64 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.29/1.64 git: non_committed_changes: false
% 7.29/1.64 git: last_make_outside_of_git: false
% 7.29/1.64
% 7.29/1.64 ------ Parsing...successful
% 7.29/1.64
% 7.29/1.64
% 7.29/1.64
% 7.29/1.64 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.29/1.64
% 7.29/1.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.29/1.64
% 7.29/1.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.29/1.64 ------ Proving...
% 7.29/1.64 ------ Problem Properties
% 7.29/1.64
% 7.29/1.64
% 7.29/1.64 clauses 10
% 7.29/1.64 conjectures 2
% 7.29/1.64 EPR 0
% 7.29/1.64 Horn 10
% 7.29/1.64 unary 10
% 7.29/1.64 binary 0
% 7.29/1.64 lits 10
% 7.29/1.64 lits eq 10
% 7.29/1.64 fd_pure 0
% 7.29/1.64 fd_pseudo 0
% 7.29/1.64 fd_cond 0
% 7.29/1.64 fd_pseudo_cond 0
% 7.29/1.64 AC symbols 1
% 7.29/1.64
% 7.29/1.64 ------ Input Options Time Limit: Unbounded
% 7.29/1.64
% 7.29/1.64
% 7.29/1.64 ------
% 7.29/1.64 Current options:
% 7.29/1.64 ------
% 7.29/1.64
% 7.29/1.64
% 7.29/1.64
% 7.29/1.64
% 7.29/1.64 ------ Proving...
% 7.29/1.64
% 7.29/1.64
% 7.29/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.29/1.64
% 7.29/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.29/1.64
% 7.29/1.64
%------------------------------------------------------------------------------