%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP276-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:32:42 PM UTC 2026
% Result : Unsatisfiable 10.47s 2.83s
% Output : CNFRefutation 10.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 42
% Syntax : Number of formulae : 341 ( 94 unt; 11 def)
% Number of atoms : 1236 ( 635 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 511 ( 168 ~; 343 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c5 = inverse(sk_c7)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c4) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c5 = inverse(sk_c4)
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c5 = inverse(sk_c7)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f23]) ).
fof(f29,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c5 = inverse(sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c4) = sk_c5
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c5 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c5 = inverse(sk_c7)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f47]) ).
fof(f51,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c5 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c5 = inverse(sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1] :
( inverse(X3) != sk_c5
| multiply(X3,sk_c5) != sk_c6
| inverse(sk_c7) != sk_c5
| inverse(X2) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| multiply(sk_c6,sk_c5) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c7
| multiply(sk_c7,sk_c5) != sk_c6
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( sk_c5 != inverse(X3)
| sk_c6 != multiply(X3,sk_c5)
| sk_c5 != inverse(sk_c7)
| sk_c7 != inverse(X2)
| sk_c6 != multiply(X2,sk_c7)
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c7 != multiply(X1,sk_c6)
| sk_c7 != inverse(X1)
| sk_c6 != multiply(sk_c7,sk_c5)
| inverse(X0) != sk_c7
| sk_c6 != multiply(X0,sk_c7) ),
inference(reorient_equations,[],[f65]) ).
tcf(c_83,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_84,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_86,negated_conjecture,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c7) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_90,negated_conjecture,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c7) = sk_c5 )
| ( inverse(sk_c1) = sk_c7 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_99,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_102,negated_conjecture,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c5 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_111,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c7) = sk_c5 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c7) != sk_c5 )
| ( inverse(X3) != sk_c5 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( multiply(X3,sk_c5) != sk_c6 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_413,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_414,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_116]) ).
tcf(c_415,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c5 )
| ( multiply(X0,sk_c5) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_416,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c7) != sk_c5 )
| ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( multiply(sk_c7,sk_c5) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_417,definition,
iPr_def_13 = multiply(sk_c7,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_418,definition,
iPr_def_14 = multiply(sk_c6,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_419,definition,
iPr_def_15 = inverse(sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_420,definition,
iPr_def_16 = multiply(sk_c2,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_421,definition,
iPr_def_17 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_422,definition,
iPr_def_18 = multiply(sk_c4,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_423,definition,
iPr_def_19 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_424,definition,
iPr_def_20 = multiply(sk_c3,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_425,definition,
iPr_def_21 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_426,definition,
iPr_def_22 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_427,definition,
iPr_def_23 = multiply(sk_c1,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_428,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c5 )
| ( iPr_def_14 != sk_c7 )
| ( iPr_def_13 != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_416,c_419,c_418,c_417]) ).
tcf(c_430,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c5 )
| ( multiply(X0,sk_c5) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_415]) ).
tcf(c_431,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_414]) ).
tcf(c_432,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_413]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_16 = sk_c7 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_112,c_423]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_111,c_424]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_16 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_17 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_109,c_425]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_20 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_17 = sk_c5 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_446,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_447,negated_conjecture,
( ( iPr_def_15 = sk_c5 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_14 = sk_c7 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_454,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_455,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_20 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_456,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_457,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_17 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_91,c_427]) ).
tcf(c_458,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_459,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_460,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_461,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_20 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_462,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_463,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_724,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_439,c_417]) ).
tcf(c_725,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c7,iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_435,c_417]) ).
tcf(c_744,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_20,sk_c5) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_437,c_418]) ).
tcf(c_776,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c6,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_441,c_418]) ).
tcf(c_830,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_444,c_438]) ).
tcf(c_849,plain,
( ( sk_c6 = iPr_def_13 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_445,c_417]) ).
tcf(c_868,plain,
( ( sk_c6 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_446,c_420]) ).
tcf(c_881,plain,
! [X0: $i] :
( ( iPr_def_13 = sk_c6 )
| ( iPr_def_13 != X0 )
| ( sk_c6 != X0 ) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_892,plain,
( ( sk_c6 = iPr_def_13 )
| ( multiply(sk_c7,iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_447,c_417]) ).
tcf(c_902,plain,
! [X0: $i,X1: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_903,plain,
! [X0: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != sk_c6 )
| ( X0 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_902]) ).
tcf(c_904,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_463]) ).
tcf(c_947,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c6 )
| ( sk_c6 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_953,plain,
( ( sk_c6 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_445,c_422]) ).
tcf(c_970,plain,
( ( iPr_def_13 = sk_c6 )
| ( iPr_def_13 != iPr_def_18 )
| ( sk_c6 != iPr_def_18 ) ),
inference(instantiation,[status(thm)],[c_881]) ).
tcf(c_974,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_442,c_424]) ).
tcf(c_976,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_436,c_424]) ).
tcf(c_985,plain,
( ( iPr_def_13 = sk_c6 )
| ( iPr_def_13 != iPr_def_20 )
| ( sk_c6 != iPr_def_20 ) ),
inference(instantiation,[status(thm)],[c_881]) ).
tcf(c_1013,plain,
multiply(iPr_def_19,sk_c3) = identity,
inference(superposition,[status(thm)],[c_423,c_84]) ).
tcf(c_1014,plain,
multiply(iPr_def_15,sk_c7) = identity,
inference(superposition,[status(thm)],[c_419,c_84]) ).
tcf(c_1015,plain,
multiply(iPr_def_17,sk_c4) = identity,
inference(superposition,[status(thm)],[c_421,c_84]) ).
tcf(c_1016,plain,
multiply(iPr_def_22,sk_c1) = identity,
inference(superposition,[status(thm)],[c_426,c_84]) ).
tcf(c_1017,plain,
multiply(iPr_def_21,sk_c2) = identity,
inference(superposition,[status(thm)],[c_425,c_84]) ).
tcf(c_1032,plain,
( ( sk_c6 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_449,c_420]) ).
tcf(c_1045,plain,
( ( sk_c6 = iPr_def_13 )
| ( iPr_def_13 != sk_c6 )
| ( sk_c6 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_903]) ).
tcf(c_1127,plain,
! [X0: $i] :
( ( X0 = sk_c6 )
| ( sk_c6 != iPr_def_23 )
| ( X0 != iPr_def_23 ) ),
inference(instantiation,[status(thm)],[c_947]) ).
tcf(c_1194,plain,
( ( iPr_def_13 = sk_c6 )
| ( iPr_def_13 != iPr_def_13 )
| ( sk_c6 != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_881]) ).
tcf(c_1211,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_453,c_417]) ).
tcf(c_1223,plain,
iPr_def_13 = iPr_def_13,
inference(instantiation,[status(thm)],[c_463]) ).
tcf(c_1224,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_13 = X0 )
| ( iPr_def_13 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_1236,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_454,c_427]) ).
tcf(c_1239,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_454,c_442]) ).
tcf(c_1286,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_455,c_420]) ).
tcf(c_1325,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_456,c_444]) ).
tcf(c_1372,plain,
( ( sk_c6 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_457,c_422]) ).
tcf(c_1376,plain,
( ( sk_c6 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_457,c_417]) ).
tcf(c_1412,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c6 = iPr_def_18 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_458,c_450]) ).
tcf(c_1417,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_458,c_420]) ).
tcf(c_1519,plain,
( ( sk_c6 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_459,c_417]) ).
tcf(c_1562,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c7 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_460,c_448]) ).
tcf(c_1565,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_460,c_420]) ).
tcf(c_1670,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c6 = iPr_def_20 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_461,c_450]) ).
tcf(c_1675,plain,
( ( sk_c6 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_461,c_420]) ).
tcf(c_1766,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_462,c_450]) ).
tcf(c_1832,plain,
! [X0: $i] :
( ( iPr_def_13 = X0 )
| ( iPr_def_13 != sk_c6 )
| ( X0 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1224]) ).
tcf(c_2033,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_18 )
| ( inverse(sk_c4) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_422,c_430]) ).
tcf(c_2034,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_13 )
| ( inverse(sk_c7) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_417,c_430]) ).
tcf(c_2050,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_15 )
| ( sk_c6 != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_2034,c_419]) ).
tcf(c_2054,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_17 )
| ( sk_c6 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2033,c_421]) ).
tcf(c_2154,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_16 )
| ( inverse(sk_c2) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_420,c_431]) ).
tcf(c_2174,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_21 )
| ( sk_c7 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_2154,c_425]) ).
tcf(c_2302,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_23 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_427,c_432]) ).
tcf(c_2303,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_20 )
| ( inverse(sk_c3) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_424,c_432]) ).
tcf(c_2322,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_20 )
| ( sk_c7 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_2303,c_423]) ).
tcf(c_2326,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_23 )
| ( sk_c7 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2302,c_426]) ).
tcf(c_2537,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( iPr_def_23 != sk_c6 )
| ( iPr_def_13 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1832]) ).
tcf(c_2633,plain,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_23 != iPr_def_23 )
| ( sk_c6 != iPr_def_23 ) ),
inference(instantiation,[status(thm)],[c_1127]) ).
tcf(c_2634,plain,
iPr_def_23 = iPr_def_23,
inference(instantiation,[status(thm)],[c_463]) ).
tcf(c_2689,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,sk_c5) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_830,c_417]) ).
tcf(c_3076,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_424,c_85]) ).
tcf(c_3081,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_3083,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1013,c_85]) ).
tcf(c_3084,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1014,c_85]) ).
tcf(c_3085,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1015,c_85]) ).
tcf(c_3086,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1016,c_85]) ).
tcf(c_3087,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1017,c_85]) ).
tcf(c_3092,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3087,c_83]) ).
tcf(c_3093,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3086,c_83]) ).
tcf(c_3094,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3085,c_83]) ).
tcf(c_3095,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3084,c_83]) ).
tcf(c_3096,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3083,c_83]) ).
tcf(c_3325,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( multiply(iPr_def_19,sk_c5) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1239,c_417]) ).
tcf(c_3807,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1562,c_424]) ).
tcf(c_3810,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( inverse(iPr_def_19) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1562,c_419]) ).
tcf(c_4071,plain,
multiply(iPr_def_21,iPr_def_16) = sk_c6,
inference(superposition,[status(thm)],[c_420,c_3092]) ).
tcf(c_4076,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c7,
inference(superposition,[status(thm)],[c_427,c_3093]) ).
tcf(c_4199,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1766,c_724]) ).
tcf(c_4265,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_14,iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1766,c_725]) ).
tcf(c_4540,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_435,c_744]) ).
tcf(c_4654,plain,
multiply(iPr_def_15,iPr_def_13) = sk_c5,
inference(superposition,[status(thm)],[c_417,c_3095]) ).
tcf(c_4658,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1766,c_3095]) ).
tcf(c_4806,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c7,
inference(superposition,[status(thm)],[c_424,c_3096]) ).
tcf(c_5114,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_443,c_776]) ).
tcf(c_5650,plain,
( ( sk_c6 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_849,c_3095]) ).
tcf(c_5651,plain,
( ( sk_c5 = iPr_def_17 )
| ( sk_c6 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_5650,c_4654]) ).
tcf(c_5734,plain,
( ( sk_c6 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_868,c_3092]) ).
tcf(c_5735,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c6 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_5734,c_4071]) ).
tcf(c_6548,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_974,c_3096]) ).
tcf(c_6549,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6548,c_4806]) ).
tcf(c_6578,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_976,c_3096]) ).
tcf(c_6579,plain,
( ( sk_c7 = iPr_def_19 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_6578,c_4806]) ).
tcf(c_6642,plain,
( ( sk_c6 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1032,c_3092]) ).
tcf(c_6643,plain,
( ( sk_c6 = iPr_def_20 )
| ( sk_c6 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_6642,c_4071]) ).
tcf(c_7670,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1236,c_3093]) ).
tcf(c_7671,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_7670,c_4076]) ).
tcf(c_7737,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1286,c_3092]) ).
tcf(c_7738,plain,
( ( sk_c6 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_7737,c_4071]) ).
tcf(c_8142,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c6 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1766,c_1376]) ).
tcf(c_8234,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_16) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1417,c_3092]) ).
tcf(c_8235,plain,
( ( sk_c6 = iPr_def_23 )
| ( sk_c6 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_8234,c_4071]) ).
tcf(c_8415,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c6 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1766,c_1519]) ).
tcf(c_8491,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_16) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1565,c_3092]) ).
tcf(c_8492,plain,
( ( sk_c6 = iPr_def_23 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_8491,c_4071]) ).
tcf(c_8540,plain,
( ( sk_c6 = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_16) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1675,c_3092]) ).
tcf(c_8541,plain,
( ( sk_c6 = iPr_def_23 )
| ( sk_c6 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_8540,c_4071]) ).
tcf(c_9734,plain,
( ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c6 != iPr_def_13 )
| ( inverse(iPr_def_14) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_2689,c_430]) ).
tcf(c_10488,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c6 = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_1412,c_1194,c_1223,c_2537,c_2633,c_2634,c_5735,c_8235]) ).
tcf(c_10542,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 = iPr_def_23 )
| ( iPr_def_13 != iPr_def_18 )
| ( sk_c5 != iPr_def_15 )
| ( sk_c7 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10488,c_428]) ).
tcf(c_10737,plain,
( ( iPr_def_21 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c6 != iPr_def_13 )
| ( inverse(iPr_def_19) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_3325,c_430]) ).
tcf(c_10878,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c6 = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_1670,c_1194,c_1223,c_2537,c_2633,c_2634,c_6643,c_8541]) ).
tcf(c_12465,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3081,c_83]) ).
tcf(c_12495,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_12465]) ).
tcf(c_12496,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_12465]) ).
tcf(c_12650,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_3096,c_12465]) ).
tcf(c_12651,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3095,c_12465]) ).
tcf(c_12652,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3094,c_12465]) ).
tcf(c_12653,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_3093,c_12465]) ).
tcf(c_12654,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3092,c_12465]) ).
tcf(c_12691,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_12465,c_12465]) ).
tcf(c_13698,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_12496,c_12691]) ).
tcf(c_13732,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_13698,c_12495]) ).
tcf(c_13743,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_2050,c_2054,c_2050,c_5651,c_5735]) ).
tcf(c_13982,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_22 )
| ( sk_c7 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_454,c_2174]) ).
tcf(c_14128,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_2322,c_2326,c_2322,c_7671,c_8492]) ).
tcf(c_14130,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_14128,c_2326,c_7738,c_8541,c_14128]) ).
tcf(c_14132,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c5 != iPr_def_15 )
| ( sk_c6 != iPr_def_13 )
| ( sk_c7 != iPr_def_14 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_428,c_14130]) ).
tcf(c_15119,plain,
multiply(sk_c3,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_12650,c_84]) ).
tcf(c_15123,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_19)) != sk_c7 )
| ( multiply(sk_c3,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_12650,c_431]) ).
tcf(c_15125,plain,
multiply(sk_c3,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_12650,c_13698]) ).
tcf(c_15138,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_3807,c_15119]) ).
tcf(c_15765,plain,
inverse(iPr_def_19) = sk_c3,
inference(demodulation,[status(thm)],[c_15125,c_13698]) ).
tcf(c_15767,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c3 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_3810,c_15765]) ).
tcf(c_17023,plain,
multiply(sk_c7,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_12651,c_84]) ).
tcf(c_17041,plain,
( ( identity = iPr_def_13 )
| ( sk_c6 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_1519,c_17023]) ).
tcf(c_17042,plain,
( ( identity = iPr_def_13 )
| ( sk_c7 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_1211,c_17023]) ).
tcf(c_17043,plain,
( ( identity = iPr_def_13 )
| ( sk_c6 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_892,c_17023]) ).
tcf(c_17650,plain,
multiply(sk_c3,identity) = multiply(iPr_def_20,iPr_def_15),
inference(superposition,[status(thm)],[c_17023,c_3076]) ).
tcf(c_17996,plain,
( ( identity = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_17042,c_427]) ).
tcf(c_18201,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( identity = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_17043,c_17041]) ).
tcf(c_19193,plain,
multiply(iPr_def_20,iPr_def_15) = sk_c3,
inference(demodulation,[status(thm)],[c_17650,c_13698]) ).
tcf(c_19196,plain,
( ( sk_c3 = iPr_def_14 )
| ( sk_c7 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_5114,c_19193]) ).
tcf(c_19197,plain,
( ( sk_c3 = iPr_def_14 )
| ( sk_c7 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_4540,c_19193]) ).
tcf(c_19780,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18201,c_15138]) ).
tcf(c_19781,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_18201,c_13732]) ).
tcf(c_20510,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_14,sk_c7) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19196,c_424]) ).
tcf(c_20610,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_14,sk_c7) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_19197,c_424]) ).
tcf(c_24367,plain,
multiply(sk_c4,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_12652,c_84]) ).
tcf(c_24381,plain,
( ( identity = iPr_def_18 )
| ( sk_c6 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_1372,c_24367]) ).
tcf(c_24385,plain,
( ( identity = iPr_def_18 )
| ( sk_c6 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_953,c_24367]) ).
tcf(c_28367,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( identity = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24385,c_24381]) ).
tcf(c_28746,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( iPr_def_13 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_28367,c_18201]) ).
tcf(c_28782,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_17) = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_4199,c_985,c_2537,c_2633,c_2634,c_8142,c_10878,c_19780]) ).
tcf(c_29670,plain,
multiply(sk_c1,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_12653,c_84]) ).
tcf(c_29720,plain,
( ( identity = iPr_def_23 )
| ( identity = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_17996,c_29670]) ).
tcf(c_31872,plain,
multiply(sk_c2,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_12654,c_13698]) ).
tcf(c_32001,plain,
inverse(iPr_def_21) = sk_c2,
inference(demodulation,[status(thm)],[c_31872,c_13698]) ).
tcf(c_33463,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_15) = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_4265,c_985,c_2537,c_2633,c_2634,c_8415,c_10878,c_19780]) ).
tcf(c_35959,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( multiply(iPr_def_13,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_19781,c_84]) ).
tcf(c_41590,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_13982,c_2174,c_6549,c_6579]) ).
tcf(c_42448,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_19 )
| ( multiply(sk_c3,sk_c6) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_15123,c_423,c_15765]) ).
tcf(c_42452,plain,
( ~ iPr_def_11
| ( multiply(sk_c3,sk_c6) != sk_c7 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42448,c_41590]) ).
tcf(c_42499,plain,
( ( sk_c7 = iPr_def_22 )
| ~ iPr_def_11
| ( multiply(sk_c3,iPr_def_20) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_455,c_42452]) ).
tcf(c_42505,plain,
( ( sk_c7 = iPr_def_21 )
| ~ iPr_def_11
| ( multiply(sk_c3,iPr_def_20) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_443,c_42452]) ).
tcf(c_42507,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_11
| ( multiply(sk_c3,iPr_def_20) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_437,c_42452]) ).
tcf(c_42722,plain,
( ( multiply(sk_c3,iPr_def_20) != sk_c7 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_42499,c_2174,c_42507,c_42505]) ).
tcf(c_42723,plain,
( ~ iPr_def_11
| ( multiply(sk_c3,iPr_def_20) != sk_c7 ) ),
inference(renaming,[status(thm)],[c_42722]) ).
tcf(c_42737,plain,
( ( iPr_def_13 = iPr_def_23 )
| ~ iPr_def_11
| ( multiply(iPr_def_15,iPr_def_20) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_15767,c_42723]) ).
tcf(c_47547,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_20) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_20610,c_4658]) ).
tcf(c_47548,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_20) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_20510,c_4658]) ).
tcf(c_47557,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28782,c_4658]) ).
tcf(c_47561,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_33463,c_4658]) ).
tcf(c_47572,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c5 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_47561,c_4654]) ).
tcf(c_47575,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c5 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_47557,c_4654]) ).
tcf(c_47699,plain,
iPr_def_13 = iPr_def_23,
inference(global_subsumption_just,[status(thm)],[c_35959,c_1766,c_2054,c_2174,c_10488,c_10542,c_14130,c_28746,c_42737,c_47575,c_47572,c_47548,c_47547]) ).
tcf(c_47744,plain,
identity = iPr_def_13,
inference(demodulation,[status(thm)],[c_29720,c_47699]) ).
tcf(c_47828,plain,
multiply(iPr_def_22,iPr_def_13) = sk_c7,
inference(demodulation,[status(thm)],[c_4076,c_47699]) ).
tcf(c_47919,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( sk_c6 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_24385,c_47744]) ).
tcf(c_47945,plain,
! [X0: $i] : multiply(X0,iPr_def_13) = X0,
inference(demodulation,[status(thm)],[c_13698,c_47744]) ).
tcf(c_47964,plain,
multiply(iPr_def_21,sk_c2) = iPr_def_13,
inference(demodulation,[status(thm)],[c_1017,c_47744]) ).
tcf(c_47970,plain,
! [X0: $i] : multiply(iPr_def_13,X0) = X0,
inference(demodulation,[status(thm)],[c_83,c_47744]) ).
tcf(c_48040,plain,
sk_c5 = iPr_def_15,
inference(demodulation,[status(thm)],[c_4654,c_47945]) ).
tcf(c_48041,plain,
~ iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_13743,c_48040]) ).
tcf(c_48098,plain,
multiply(sk_c6,iPr_def_15) = iPr_def_14,
inference(demodulation,[status(thm)],[c_418,c_48040]) ).
tcf(c_48251,plain,
sk_c7 = iPr_def_22,
inference(demodulation,[status(thm)],[c_47828,c_47945]) ).
tcf(c_48373,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_830,c_48251]) ).
tcf(c_48375,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != iPr_def_22 )
| ( multiply(X0,sk_c6) != iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_431,c_48251]) ).
tcf(c_48383,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c6 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_450,c_48251]) ).
tcf(c_48386,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_444,c_48251]) ).
tcf(c_48389,plain,
inverse(iPr_def_22) = iPr_def_15,
inference(demodulation,[status(thm)],[c_419,c_48251]) ).
tcf(c_48583,plain,
sk_c6 = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_48383,c_904,c_970,c_1045,c_5735,c_47919]) ).
tcf(c_48608,plain,
multiply(sk_c2,iPr_def_13) = iPr_def_16,
inference(demodulation,[status(thm)],[c_420,c_48583]) ).
tcf(c_48818,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( X0 != iPr_def_22 )
| ( inverse(X0) != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_48375,c_47945,c_48583]) ).
tcf(c_49051,plain,
multiply(inverse(iPr_def_21),iPr_def_13) = sk_c2,
inference(superposition,[status(thm)],[c_47964,c_12465]) ).
tcf(c_49053,plain,
sk_c2 = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_49051,c_32001,c_48608]) ).
tcf(c_49071,plain,
inverse(iPr_def_16) = iPr_def_21,
inference(demodulation,[status(thm)],[c_425,c_49053]) ).
tcf(c_49286,plain,
multiply(iPr_def_13,iPr_def_15) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_48098,c_48583]) ).
tcf(c_49287,plain,
iPr_def_14 = iPr_def_15,
inference(demodulation,[status(thm)],[c_49286,c_47970]) ).
tcf(c_49292,plain,
inverse(iPr_def_22) = iPr_def_14,
inference(demodulation,[status(thm)],[c_48389,c_49287]) ).
tcf(c_49375,plain,
( ~ iPr_def_11
| ( iPr_def_22 != iPr_def_22 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_49292,c_48818]) ).
tcf(c_49393,plain,
( ~ iPr_def_11
| ( iPr_def_14 != iPr_def_22 ) ),
inference(equality_resolution_simp,[status(thm)],[c_49375]) ).
tcf(c_49399,plain,
iPr_def_16 = iPr_def_21,
inference(global_subsumption_just,[status(thm)],[c_9734,c_830,c_904,c_970,c_1045,c_5735,c_14132,c_48041,c_48040,c_47919,c_48373,c_49393]) ).
tcf(c_49402,plain,
inverse(iPr_def_16) = iPr_def_16,
inference(demodulation,[status(thm)],[c_49071,c_49399]) ).
tcf(c_49418,plain,
iPr_def_21 = iPr_def_22,
inference(global_subsumption_just,[status(thm)],[c_10737,c_1325,c_14132,c_48041,c_48040,c_48386,c_48583,c_49393]) ).
tcf(c_49420,plain,
iPr_def_16 = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_49418,c_49399]) ).
tcf(c_49421,plain,
inverse(iPr_def_16) = iPr_def_14,
inference(demodulation,[status(thm)],[c_49292,c_49420]) ).
tcf(c_49426,plain,
sk_c7 = iPr_def_16,
inference(demodulation,[status(thm)],[c_48251,c_49420]) ).
tcf(c_49453,plain,
iPr_def_14 = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_49402,c_49421]) ).
tcf(c_49455,plain,
sk_c7 = iPr_def_14,
inference(demodulation,[status(thm)],[c_49426,c_49453]) ).
tcf(c_49458,plain,
iPr_def_14 = iPr_def_22,
inference(demodulation,[status(thm)],[c_49420,c_49453]) ).
tcf(c_49461,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_49455,c_49458,c_49393,c_48583,c_48040,c_48041,c_14132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP276-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.58 % Computer : n019.cluster.edu
% 0.09/0.58 % Model : x86_64 x86_64
% 0.09/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.58 % Memory : 8046.5625MB
% 0.09/0.58 % OS : Linux 6.8.0-71-generic
% 0.09/0.58 % CPULimit : 300
% 0.09/0.58 % WCLimit : 300
% 0.09/0.58 % DateTime : Wed Sep 23 14:20:41 UTC 2026
% 0.09/0.59 % CPUTime :
% 0.09/0.59 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.62 Running first-order theorem proving
% 0.09/0.62 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.64
% 0.13/0.64 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.64
% 0.13/0.64 % Detected problem language: tptp
% 0.13/0.65 % Proving...
% 10.47/2.83 % SZS status Started for theBenchmark.p
% 10.47/2.83 % SZS status Unsatisfiable for theBenchmark.p
% 10.47/2.83
% 10.47/2.83 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.47/2.83
% 10.47/2.83 % ------ iProver source info
% 10.47/2.83
% 10.47/2.83 % git: date: 2026-07-19 20:42:38 +0200
% 10.47/2.83 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.47/2.83 % git: non_committed_changes: false
% 10.47/2.83
% 10.47/2.83 % ------ Parsing...% successful
% 10.47/2.83
% 10.47/2.83
% 10.47/2.83 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.47/2.83
% 10.47/2.83 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 10.47/2.83
% 10.47/2.83 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.47/2.83
% 10.47/2.83 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.47/2.83 % ------ Proving...
% 10.47/2.83 % ------ Problem Properties
% 10.47/2.83
% 10.47/2.83 %
% 10.47/2.83 % clauses 48
% 10.47/2.83 % conjectures 34
% 10.47/2.83 % EPR 31
% 10.47/2.83 % Horn 17
% 10.47/2.83 % unary 14
% 10.47/2.83 % binary 30
% 10.47/2.83 % lits 89
% 10.47/2.83 % lits eq 83
% 10.47/2.83 % fd_pure 0
% 10.47/2.83 % fd_pseudo 0
% 10.47/2.83 % fd_cond 0
% 10.47/2.83 % fd_pseudo_cond 0
% 10.47/2.83 % AC symbols 0
% 10.47/2.83
% 10.47/2.83 % ------ Schedule dynamic 5 is on
% 10.47/2.83
% 10.47/2.83 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.47/2.83
% 10.47/2.83
% 10.47/2.83 % ------
% 10.47/2.83 % Current options:
% 10.47/2.83 % ------
% 10.47/2.83
% 10.47/2.83
% 10.47/2.83 %
% 10.47/2.83
% 10.47/2.83 % ------ Proving...
% 10.47/2.83 %
% 10.47/2.83
% 10.47/2.83 % SZS status Unsatisfiable for theBenchmark.p
% 10.47/2.83
% 10.47/2.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.47/2.84
% 10.47/2.84
%------------------------------------------------------------------------------