TSTP Solution File: GRP777+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP777+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 01:01:47 EDT 2023
% Result : Theorem 4.17s 1.14s
% Output : CNFRefutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 11
% Syntax : Number of formulae : 146 ( 145 unt; 0 def)
% Number of atoms : 147 ( 146 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 181 ( 0 sgn; 47 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : difference(X1,product(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos01) ).
fof(f2,axiom,
! [X0,X1] : product(X1,difference(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos02) ).
fof(f3,axiom,
! [X0,X1] : quotient(product(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos03) ).
fof(f4,axiom,
! [X0,X1] : product(quotient(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos04) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : product(product(X1,X0),product(X3,X2)) = product(product(X1,X3),product(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos05) ).
fof(f6,axiom,
! [X1] : product(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos06) ).
fof(f7,axiom,
! [X0,X1] : product(product(product(X1,X0),X0),product(X0,product(X0,X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos07) ).
fof(f8,axiom,
! [X3,X0,X1] : bigC(X1,X0,X3) = product(product(X1,X0),product(X3,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos08) ).
fof(f9,axiom,
product(product(a,c),product(c,b)) = product(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos09) ).
fof(f10,conjecture,
! [X4] : bigC(a,b,X4) = bigC(c,c,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f11,negated_conjecture,
~ ! [X4] : bigC(a,b,X4) = bigC(c,c,X4),
inference(negated_conjecture,[],[f10]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : product(product(X3,X2),product(X1,X0)) = product(product(X3,X1),product(X2,X0)),
inference(rectify,[],[f5]) ).
fof(f13,plain,
! [X0] : product(X0,X0) = X0,
inference(rectify,[],[f6]) ).
fof(f14,plain,
! [X0,X1,X2] : bigC(X2,X1,X0) = product(product(X2,X1),product(X0,X2)),
inference(rectify,[],[f8]) ).
fof(f15,plain,
~ ! [X0] : bigC(a,b,X0) = bigC(c,c,X0),
inference(rectify,[],[f11]) ).
fof(f16,plain,
? [X0] : bigC(a,b,X0) != bigC(c,c,X0),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ? [X0] : bigC(a,b,X0) != bigC(c,c,X0)
=> bigC(a,b,sK0) != bigC(c,c,sK0) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
bigC(a,b,sK0) != bigC(c,c,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f19,plain,
! [X0,X1] : difference(X1,product(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X0,X1] : product(X1,difference(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] : quotient(product(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X0,X1] : product(quotient(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X2,X3,X0,X1] : product(product(X3,X2),product(X1,X0)) = product(product(X3,X1),product(X2,X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X0] : product(X0,X0) = X0,
inference(cnf_transformation,[],[f13]) ).
fof(f25,plain,
! [X0,X1] : product(product(product(X1,X0),X0),product(X0,product(X0,X1))) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f26,plain,
! [X2,X0,X1] : bigC(X2,X1,X0) = product(product(X2,X1),product(X0,X2)),
inference(cnf_transformation,[],[f14]) ).
fof(f27,plain,
product(product(a,c),product(c,b)) = product(a,b),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
bigC(a,b,sK0) != bigC(c,c,sK0),
inference(cnf_transformation,[],[f18]) ).
fof(f29,plain,
product(product(a,b),product(sK0,a)) != product(product(c,c),product(sK0,c)),
inference(definition_unfolding,[],[f28,f26,f26]) ).
cnf(c_49,plain,
difference(X0,product(X0,X1)) = X1,
inference(cnf_transformation,[],[f19]) ).
cnf(c_50,plain,
product(X0,difference(X0,X1)) = X1,
inference(cnf_transformation,[],[f20]) ).
cnf(c_51,plain,
quotient(product(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f21]) ).
cnf(c_52,plain,
product(quotient(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f22]) ).
cnf(c_53,plain,
product(product(X0,X1),product(X2,X3)) = product(product(X0,X2),product(X1,X3)),
inference(cnf_transformation,[],[f23]) ).
cnf(c_54,plain,
product(X0,X0) = X0,
inference(cnf_transformation,[],[f24]) ).
cnf(c_55,plain,
product(product(product(X0,X1),X1),product(X1,product(X1,X0))) = X1,
inference(cnf_transformation,[],[f25]) ).
cnf(c_56,plain,
product(product(a,c),product(c,b)) = product(a,b),
inference(cnf_transformation,[],[f27]) ).
cnf(c_57,negated_conjecture,
product(product(a,b),product(sK0,a)) != product(product(c,c),product(sK0,c)),
inference(cnf_transformation,[],[f29]) ).
cnf(c_83,plain,
product(product(a,b),product(sK0,a)) != product(c,product(sK0,c)),
inference(demodulation,[status(thm)],[c_57,c_54]) ).
cnf(c_141,plain,
quotient(X0,difference(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_50,c_51]) ).
cnf(c_145,plain,
difference(quotient(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_150,plain,
quotient(product(a,b),product(c,b)) = product(a,c),
inference(superposition,[status(thm)],[c_56,c_51]) ).
cnf(c_151,plain,
difference(product(a,c),product(a,b)) = product(c,b),
inference(superposition,[status(thm)],[c_56,c_49]) ).
cnf(c_153,plain,
product(product(X0,X1),product(X1,product(X1,quotient(X0,X1)))) = X1,
inference(superposition,[status(thm)],[c_52,c_55]) ).
cnf(c_156,plain,
product(product(product(difference(X0,X1),X0),X0),product(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_50,c_55]) ).
cnf(c_181,plain,
product(product(quotient(X0,X1),X2),product(X1,X3)) = product(X0,product(X2,X3)),
inference(superposition,[status(thm)],[c_52,c_53]) ).
cnf(c_184,plain,
product(product(X0,X1),product(X0,X2)) = product(X0,product(X1,X2)),
inference(superposition,[status(thm)],[c_54,c_53]) ).
cnf(c_188,plain,
product(product(X0,quotient(X1,X2)),product(X3,X2)) = product(product(X0,X3),X1),
inference(superposition,[status(thm)],[c_52,c_53]) ).
cnf(c_191,plain,
product(product(X0,X1),product(X2,X1)) = product(product(X0,X2),X1),
inference(superposition,[status(thm)],[c_54,c_53]) ).
cnf(c_211,plain,
product(product(X0,X0),product(X1,X1)) = product(X0,X1),
inference(superposition,[status(thm)],[c_53,c_54]) ).
cnf(c_214,plain,
product(X0,product(X1,X1)) = product(X0,X1),
inference(light_normalisation,[status(thm)],[c_211,c_54]) ).
cnf(c_244,plain,
product(X0,product(X0,quotient(X1,X0))) = difference(product(X1,X0),X0),
inference(superposition,[status(thm)],[c_153,c_49]) ).
cnf(c_270,plain,
product(product(difference(X0,X1),X0),X0) = quotient(X0,product(X0,X1)),
inference(superposition,[status(thm)],[c_156,c_51]) ).
cnf(c_305,plain,
product(X0,product(difference(X0,X1),X2)) = product(X1,product(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_184]) ).
cnf(c_312,plain,
product(X0,product(X1,difference(X0,X2))) = product(product(X0,X1),X2),
inference(superposition,[status(thm)],[c_50,c_184]) ).
cnf(c_316,plain,
product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(superposition,[status(thm)],[c_54,c_184]) ).
cnf(c_325,plain,
quotient(product(X0,product(X1,X2)),product(X0,X2)) = product(X0,X1),
inference(superposition,[status(thm)],[c_184,c_51]) ).
cnf(c_326,plain,
difference(product(X0,X1),product(X0,product(X1,X2))) = product(X0,X2),
inference(superposition,[status(thm)],[c_184,c_49]) ).
cnf(c_358,plain,
quotient(product(X0,product(X1,X0)),X0) = product(X0,X1),
inference(superposition,[status(thm)],[c_316,c_51]) ).
cnf(c_383,plain,
product(X0,quotient(X1,X0)) = quotient(product(X0,X1),X0),
inference(superposition,[status(thm)],[c_52,c_358]) ).
cnf(c_435,plain,
product(X0,quotient(difference(X0,X1),X0)) = quotient(X1,X0),
inference(superposition,[status(thm)],[c_50,c_383]) ).
cnf(c_446,plain,
difference(product(X0,quotient(X1,X0)),product(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_383,c_145]) ).
cnf(c_472,plain,
difference(X0,quotient(X1,X0)) = quotient(difference(X0,X1),X0),
inference(superposition,[status(thm)],[c_435,c_49]) ).
cnf(c_487,plain,
difference(product(X0,product(X0,quotient(X1,X0))),product(X0,product(X0,X1))) = X0,
inference(superposition,[status(thm)],[c_383,c_446]) ).
cnf(c_505,plain,
difference(difference(product(X0,X1),X1),product(X1,product(X1,X0))) = X1,
inference(light_normalisation,[status(thm)],[c_487,c_244]) ).
cnf(c_520,plain,
product(difference(X0,quotient(X1,X0)),X0) = difference(X0,X1),
inference(superposition,[status(thm)],[c_472,c_52]) ).
cnf(c_562,plain,
product(difference(X0,X1),X0) = difference(X0,product(X1,X0)),
inference(superposition,[status(thm)],[c_51,c_520]) ).
cnf(c_694,plain,
product(product(quotient(X0,X1),X2),X1) = product(X0,product(X2,X1)),
inference(superposition,[status(thm)],[c_52,c_191]) ).
cnf(c_726,plain,
quotient(product(product(X0,X1),X2),product(X1,X2)) = product(X0,X2),
inference(superposition,[status(thm)],[c_191,c_51]) ).
cnf(c_773,plain,
quotient(difference(product(X0,X1),X1),product(X1,quotient(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_244,c_51]) ).
cnf(c_830,plain,
quotient(X0,product(X0,quotient(X1,X0))) = product(difference(X0,X1),X0),
inference(superposition,[status(thm)],[c_520,c_270]) ).
cnf(c_939,plain,
difference(X0,product(product(X0,X1),X2)) = product(X1,difference(X0,X2)),
inference(superposition,[status(thm)],[c_312,c_49]) ).
cnf(c_982,plain,
quotient(product(X0,X1),product(X0,X2)) = product(X0,quotient(X1,X2)),
inference(superposition,[status(thm)],[c_52,c_325]) ).
cnf(c_1062,plain,
difference(product(X0,X1),product(X0,X2)) = product(X0,difference(X1,X2)),
inference(superposition,[status(thm)],[c_50,c_326]) ).
cnf(c_1098,plain,
product(a,difference(c,b)) = product(c,b),
inference(demodulation,[status(thm)],[c_151,c_1062]) ).
cnf(c_1117,plain,
product(a,product(difference(c,b),a)) = product(product(c,b),a),
inference(superposition,[status(thm)],[c_1098,c_316]) ).
cnf(c_1132,plain,
product(product(c,a),b) = product(c,product(c,b)),
inference(superposition,[status(thm)],[c_1098,c_312]) ).
cnf(c_1246,plain,
quotient(product(X0,product(X1,X2)),X2) = product(quotient(X0,X2),X1),
inference(superposition,[status(thm)],[c_694,c_51]) ).
cnf(c_1354,plain,
quotient(product(c,product(c,b)),b) = product(c,a),
inference(superposition,[status(thm)],[c_1132,c_51]) ).
cnf(c_1364,plain,
product(quotient(c,b),c) = product(c,a),
inference(demodulation,[status(thm)],[c_1354,c_1246]) ).
cnf(c_1374,plain,
quotient(product(c,a),c) = quotient(c,b),
inference(superposition,[status(thm)],[c_1364,c_51]) ).
cnf(c_1375,plain,
difference(quotient(c,b),product(c,a)) = c,
inference(superposition,[status(thm)],[c_1364,c_49]) ).
cnf(c_1385,plain,
product(c,quotient(a,c)) = quotient(c,b),
inference(demodulation,[status(thm)],[c_1374,c_383]) ).
cnf(c_1506,plain,
quotient(product(X0,X1),product(X2,X1)) = product(quotient(X0,X2),X1),
inference(superposition,[status(thm)],[c_52,c_726]) ).
cnf(c_1579,plain,
product(quotient(a,c),b) = product(a,c),
inference(demodulation,[status(thm)],[c_150,c_1506]) ).
cnf(c_1650,plain,
product(product(a,c),c) = product(a,product(b,c)),
inference(superposition,[status(thm)],[c_1579,c_694]) ).
cnf(c_1686,plain,
difference(product(a,c),product(a,product(b,c))) = c,
inference(superposition,[status(thm)],[c_1650,c_49]) ).
cnf(c_1696,plain,
product(a,product(difference(c,b),c)) = c,
inference(demodulation,[status(thm)],[c_1686,c_562,c_1062]) ).
cnf(c_1706,plain,
product(difference(c,b),c) = difference(a,c),
inference(superposition,[status(thm)],[c_1696,c_49]) ).
cnf(c_1724,plain,
quotient(difference(a,c),c) = difference(c,b),
inference(superposition,[status(thm)],[c_1706,c_51]) ).
cnf(c_1735,plain,
product(c,difference(a,c)) = product(b,product(c,c)),
inference(superposition,[status(thm)],[c_1706,c_305]) ).
cnf(c_1760,plain,
product(c,difference(a,c)) = product(b,c),
inference(demodulation,[status(thm)],[c_1735,c_214]) ).
cnf(c_1764,plain,
product(product(b,c),product(c,X0)) = product(c,product(difference(a,c),X0)),
inference(superposition,[status(thm)],[c_1760,c_184]) ).
cnf(c_1986,plain,
difference(difference(product(quotient(X0,X1),X1),X1),difference(product(X0,X1),X1)) = X1,
inference(superposition,[status(thm)],[c_244,c_505]) ).
cnf(c_2029,plain,
difference(difference(X0,X1),difference(product(X0,X1),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_1986,c_52]) ).
cnf(c_2065,plain,
difference(difference(quotient(X0,X1),X1),difference(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_52,c_2029]) ).
cnf(c_2097,plain,
product(difference(X0,X1),X1) = difference(product(X0,X1),X1),
inference(superposition,[status(thm)],[c_2029,c_50]) ).
cnf(c_2167,plain,
difference(difference(quotient(quotient(X0,X1),X0),X0),X1) = X0,
inference(superposition,[status(thm)],[c_145,c_2065]) ).
cnf(c_2186,plain,
difference(quotient(X0,X1),X1) = quotient(difference(X0,X1),X1),
inference(superposition,[status(thm)],[c_2065,c_141]) ).
cnf(c_2190,plain,
difference(quotient(a,c),c) = difference(c,b),
inference(demodulation,[status(thm)],[c_1724,c_2186]) ).
cnf(c_2200,plain,
product(quotient(a,c),difference(c,b)) = c,
inference(superposition,[status(thm)],[c_2190,c_50]) ).
cnf(c_2479,plain,
difference(quotient(quotient(X0,X1),X0),X0) = quotient(X1,X0),
inference(superposition,[status(thm)],[c_2167,c_141]) ).
cnf(c_2877,plain,
quotient(quotient(X0,X1),X0) = quotient(X0,quotient(X1,X0)),
inference(superposition,[status(thm)],[c_2479,c_141]) ).
cnf(c_3076,plain,
product(a,product(difference(c,b),X0)) = product(c,product(c,X0)),
inference(superposition,[status(thm)],[c_2200,c_181]) ).
cnf(c_3765,plain,
quotient(product(difference(X0,X1),X1),product(X1,quotient(X0,X1))) = X1,
inference(light_normalisation,[status(thm)],[c_773,c_2097]) ).
cnf(c_3928,plain,
product(difference(c,a),c) = quotient(c,quotient(c,b)),
inference(superposition,[status(thm)],[c_1385,c_830]) ).
cnf(c_4023,plain,
product(product(difference(c,a),c),quotient(c,b)) = c,
inference(superposition,[status(thm)],[c_3928,c_52]) ).
cnf(c_4653,plain,
product(X0,difference(quotient(X1,X0),X2)) = difference(quotient(X1,X0),product(X1,X2)),
inference(superposition,[status(thm)],[c_52,c_939]) ).
cnf(c_4717,plain,
product(b,difference(quotient(c,b),a)) = c,
inference(demodulation,[status(thm)],[c_1375,c_4653]) ).
cnf(c_4751,plain,
difference(quotient(c,b),a) = difference(b,c),
inference(superposition,[status(thm)],[c_4717,c_49]) ).
cnf(c_4968,plain,
product(quotient(c,b),difference(b,c)) = a,
inference(superposition,[status(thm)],[c_4751,c_50]) ).
cnf(c_5028,plain,
product(X0,quotient(X0,X1)) = quotient(X0,product(X0,X1)),
inference(superposition,[status(thm)],[c_54,c_982]) ).
cnf(c_5208,plain,
product(c,quotient(c,quotient(a,c))) = quotient(c,quotient(c,b)),
inference(superposition,[status(thm)],[c_1385,c_5028]) ).
cnf(c_5224,plain,
quotient(product(X0,quotient(X0,X1)),X0) = quotient(X0,quotient(product(X0,X1),X0)),
inference(superposition,[status(thm)],[c_5028,c_2877]) ).
cnf(c_5242,plain,
product(c,quotient(c,quotient(a,c))) = product(difference(c,a),c),
inference(light_normalisation,[status(thm)],[c_5208,c_3928]) ).
cnf(c_5243,plain,
quotient(product(X0,quotient(X0,X1)),X0) = quotient(X0,product(X0,quotient(X1,X0))),
inference(light_normalisation,[status(thm)],[c_5224,c_383]) ).
cnf(c_6083,plain,
product(product(c,b),a) = product(c,product(c,a)),
inference(demodulation,[status(thm)],[c_1117,c_3076]) ).
cnf(c_6099,plain,
quotient(product(c,product(c,a)),a) = product(c,b),
inference(superposition,[status(thm)],[c_6083,c_51]) ).
cnf(c_6100,plain,
difference(product(c,b),product(c,product(c,a))) = a,
inference(superposition,[status(thm)],[c_6083,c_49]) ).
cnf(c_6349,plain,
product(quotient(c,a),c) = product(c,b),
inference(demodulation,[status(thm)],[c_6099,c_1246]) ).
cnf(c_6365,plain,
quotient(product(c,b),c) = quotient(c,a),
inference(superposition,[status(thm)],[c_6349,c_51]) ).
cnf(c_6410,plain,
product(c,quotient(b,c)) = quotient(c,a),
inference(demodulation,[status(thm)],[c_6365,c_383]) ).
cnf(c_6440,plain,
quotient(product(difference(b,c),c),quotient(c,a)) = c,
inference(superposition,[status(thm)],[c_6410,c_3765]) ).
cnf(c_6605,plain,
product(c,difference(b,product(c,a))) = a,
inference(demodulation,[status(thm)],[c_6100,c_1062]) ).
cnf(c_6639,plain,
product(product(b,c),product(c,a)) = product(b,a),
inference(superposition,[status(thm)],[c_6605,c_312]) ).
cnf(c_6722,plain,
product(difference(b,c),c) = product(c,quotient(c,a)),
inference(superposition,[status(thm)],[c_6440,c_52]) ).
cnf(c_6881,plain,
quotient(product(c,quotient(c,a)),c) = difference(b,c),
inference(superposition,[status(thm)],[c_6722,c_51]) ).
cnf(c_6913,plain,
product(difference(c,a),c) = difference(b,c),
inference(demodulation,[status(thm)],[c_6881,c_5028,c_5242,c_5243]) ).
cnf(c_6914,plain,
product(difference(b,c),quotient(c,b)) = c,
inference(demodulation,[status(thm)],[c_4023,c_6913]) ).
cnf(c_6949,plain,
product(a,product(c,c)) = product(c,difference(b,c)),
inference(superposition,[status(thm)],[c_6913,c_305]) ).
cnf(c_7028,plain,
difference(difference(b,c),c) = quotient(c,b),
inference(superposition,[status(thm)],[c_6914,c_49]) ).
cnf(c_7260,plain,
product(c,product(difference(a,c),a)) = product(b,a),
inference(demodulation,[status(thm)],[c_6639,c_1764]) ).
cnf(c_7276,plain,
quotient(product(b,a),product(difference(a,c),a)) = c,
inference(superposition,[status(thm)],[c_7260,c_51]) ).
cnf(c_7616,plain,
product(quotient(b,difference(a,c)),a) = c,
inference(demodulation,[status(thm)],[c_7276,c_1506]) ).
cnf(c_7632,plain,
quotient(b,difference(a,c)) = quotient(c,a),
inference(superposition,[status(thm)],[c_7616,c_51]) ).
cnf(c_7668,plain,
product(quotient(c,a),difference(a,c)) = b,
inference(superposition,[status(thm)],[c_7632,c_52]) ).
cnf(c_7737,plain,
product(product(a,quotient(c,a)),c) = product(a,b),
inference(superposition,[status(thm)],[c_7668,c_312]) ).
cnf(c_8465,plain,
product(c,difference(b,c)) = product(a,c),
inference(demodulation,[status(thm)],[c_6949,c_214]) ).
cnf(c_8492,plain,
product(difference(difference(b,c),c),difference(b,c)) = difference(difference(b,c),product(a,c)),
inference(superposition,[status(thm)],[c_8465,c_562]) ).
cnf(c_8507,plain,
difference(difference(b,c),product(a,c)) = a,
inference(light_normalisation,[status(thm)],[c_8492,c_4968,c_7028]) ).
cnf(c_8551,plain,
quotient(product(a,c),a) = difference(b,c),
inference(superposition,[status(thm)],[c_8507,c_141]) ).
cnf(c_8714,plain,
product(a,quotient(c,a)) = difference(b,c),
inference(demodulation,[status(thm)],[c_8551,c_383]) ).
cnf(c_9852,plain,
product(c,quotient(c,a)) = product(a,b),
inference(light_normalisation,[status(thm)],[c_7737,c_6722,c_8714]) ).
cnf(c_9889,plain,
product(product(a,b),product(X0,a)) = product(product(c,X0),c),
inference(superposition,[status(thm)],[c_9852,c_188]) ).
cnf(c_9907,plain,
product(product(c,sK0),c) != product(c,product(sK0,c)),
inference(demodulation,[status(thm)],[c_83,c_9889]) ).
cnf(c_9908,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9907,c_316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP777+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 20:24:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.17/1.14 % SZS status Started for theBenchmark.p
% 4.17/1.14 % SZS status Theorem for theBenchmark.p
% 4.17/1.14
% 4.17/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.17/1.14
% 4.17/1.14 ------ iProver source info
% 4.17/1.14
% 4.17/1.14 git: date: 2023-05-31 18:12:56 +0000
% 4.17/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.17/1.14 git: non_committed_changes: false
% 4.17/1.14 git: last_make_outside_of_git: false
% 4.17/1.14
% 4.17/1.14 ------ Parsing...
% 4.17/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.17/1.14
% 4.17/1.14 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.17/1.14
% 4.17/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.17/1.14
% 4.17/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.17/1.14 ------ Proving...
% 4.17/1.14 ------ Problem Properties
% 4.17/1.14
% 4.17/1.14
% 4.17/1.14 clauses 9
% 4.17/1.14 conjectures 0
% 4.17/1.14 EPR 0
% 4.17/1.14 Horn 9
% 4.17/1.14 unary 9
% 4.17/1.14 binary 0
% 4.17/1.14 lits 9
% 4.17/1.14 lits eq 9
% 4.17/1.14 fd_pure 0
% 4.17/1.14 fd_pseudo 0
% 4.17/1.14 fd_cond 0
% 4.17/1.14 fd_pseudo_cond 0
% 4.17/1.14 AC symbols 0
% 4.17/1.14
% 4.17/1.14 ------ Schedule UEQ
% 4.17/1.14
% 4.17/1.14 ------ Option_UEQ Time Limit: 10.
% 4.17/1.14
% 4.17/1.14
% 4.17/1.14 ------
% 4.17/1.14 Current options:
% 4.17/1.14 ------
% 4.17/1.14
% 4.17/1.14
% 4.17/1.14
% 4.17/1.14
% 4.17/1.14 ------ Proving...
% 4.17/1.14
% 4.17/1.14
% 4.17/1.14 % SZS status Theorem for theBenchmark.p
% 4.17/1.14
% 4.17/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.17/1.14
% 4.17/1.14
%------------------------------------------------------------------------------