%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP387-1 : 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:33:37 PM UTC 2026
% Result : Unsatisfiable 15.92s 8.30s
% Output : CNFRefutation 18.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 38
% Syntax : Number of formulae : 227 ( 105 unt; 11 def)
% Number of atoms : 596 ( 377 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 302 ( 117 ~; 185 |; 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 : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 68 !; 0 ?; 54 :)
% 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_c2,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c7 = inverse(sk_c2)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c5
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c6 = inverse(sk_c3)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f10]) ).
fof(f16,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c5
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( multiply(sk_c3,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f22]) ).
fof(f28,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c5
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( multiply(sk_c3,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( inverse(sk_c4) = sk_c5
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c5 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( multiply(sk_c3,sk_c6) = sk_c5
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f44]) ).
fof(f52,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( multiply(sk_c3,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c4) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c5 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c5 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(X3,sk_c7) != sk_c5
| inverse(X3) != sk_c5
| inverse(X2) != sk_c6
| multiply(X2,sk_c6) != sk_c5
| inverse(X1) != sk_c7
| multiply(X1,sk_c7) != sk_c6
| multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c5) != sk_c7
| inverse(sk_c7) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( sk_c5 != multiply(X3,sk_c7)
| sk_c5 != inverse(X3)
| sk_c6 != inverse(X2)
| sk_c5 != multiply(X2,sk_c6)
| sk_c7 != inverse(X1)
| sk_c6 != multiply(X1,sk_c7)
| sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c7
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != multiply(sk_c6,sk_c5)
| inverse(sk_c7) != sk_c6 ),
inference(reorient_equations,[],[f64]) ).
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,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_92,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_94,negated_conjecture,
( ( multiply(sk_c3,sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_100,negated_conjecture,
( ( multiply(sk_c3,sk_c6) = sk_c5 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_103,negated_conjecture,
( ( multiply(sk_c4,sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_112,negated_conjecture,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c4) = sk_c5 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_115,negated_conjecture,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c5 )
| ( inverse(X2) != sk_c6 )
| ( 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_c7) != sk_c5 )
| ( multiply(X2,sk_c6) != sk_c5 )
| ( multiply(X1,sk_c7) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_413,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c5 ) ),
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_c7) != sk_c6 ) ),
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_c7) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_416,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_116]) ).
tcf(c_417,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c7) != sk_c6 )
| ( 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_418,definition,
iPr_def_14 = multiply(sk_c7,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_419,definition,
iPr_def_15 = multiply(sk_c6,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_420,definition,
iPr_def_16 = inverse(sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_421,definition,
iPr_def_17 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_422,definition,
iPr_def_18 = multiply(sk_c1,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_423,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_424,definition,
iPr_def_20 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_425,definition,
iPr_def_21 = multiply(sk_c3,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_426,definition,
iPr_def_22 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_427,definition,
iPr_def_23 = multiply(sk_c2,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_428,definition,
iPr_def_24 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_429,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 != sk_c6 )
| ( iPr_def_15 != sk_c7 )
| ( iPr_def_14 != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_417,c_420,c_419,c_418]) ).
tcf(c_430,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_416]) ).
tcf(c_431,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c5 )
| ( multiply(X0,sk_c7) != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_415]) ).
tcf(c_432,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_414]) ).
tcf(c_433,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_413]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_17 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_115,c_422,c_421]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_19 = sk_c5 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_114,c_423]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_113,c_424]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_112,c_425]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_111,c_426]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_110,c_427]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_21 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_22 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_23 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_446,negated_conjecture,
( ( iPr_def_17 = sk_c5 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_447,negated_conjecture,
( ( iPr_def_19 = sk_c5 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_454,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_455,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_456,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_457,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_460,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_461,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_462,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_463,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_1020,plain,
multiply(iPr_def_16,sk_c7) = identity,
inference(superposition,[status(thm)],[c_420,c_84]) ).
tcf(c_1021,plain,
multiply(iPr_def_22,sk_c2) = identity,
inference(superposition,[status(thm)],[c_426,c_84]) ).
tcf(c_1022,plain,
multiply(iPr_def_20,sk_c3) = identity,
inference(superposition,[status(thm)],[c_424,c_84]) ).
tcf(c_1023,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_423,c_84]) ).
tcf(c_1024,plain,
multiply(iPr_def_24,sk_c1) = identity,
inference(superposition,[status(thm)],[c_428,c_84]) ).
tcf(c_1886,plain,
( ~ iPr_def_13
| ( sk_c7 != iPr_def_18 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_422,c_430]) ).
tcf(c_1904,plain,
( ~ iPr_def_13
| ( sk_c7 != iPr_def_24 )
| ( sk_c7 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_1886,c_428]) ).
tcf(c_2037,plain,
( ~ iPr_def_12
| ( sk_c7 != sk_c5 )
| ( inverse(identity) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_83,c_431]) ).
tcf(c_2110,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_23 )
| ( inverse(sk_c2) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_427,c_432]) ).
tcf(c_2131,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_23 )
| ( sk_c7 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2110,c_426]) ).
tcf(c_2245,plain,
( ~ iPr_def_10
| ( sk_c6 != sk_c5 )
| ( inverse(identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_83,c_433]) ).
tcf(c_2712,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_427,c_85]) ).
tcf(c_2713,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_425,c_85]) ).
tcf(c_2714,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_421,c_85]) ).
tcf(c_2715,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c5,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_419,c_85]) ).
tcf(c_2717,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c6,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_422,c_85]) ).
tcf(c_2719,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2721,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1020,c_85]) ).
tcf(c_2722,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1021,c_85]) ).
tcf(c_2723,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1022,c_85]) ).
tcf(c_2724,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1023,c_85]) ).
tcf(c_2725,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1024,c_85]) ).
tcf(c_2731,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2725,c_83]) ).
tcf(c_2732,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2724,c_83]) ).
tcf(c_2733,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2723,c_83]) ).
tcf(c_2734,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2722,c_83]) ).
tcf(c_2735,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2721,c_83]) ).
tcf(c_4577,plain,
multiply(iPr_def_24,iPr_def_18) = sk_c6,
inference(superposition,[status(thm)],[c_422,c_2731]) ).
tcf(c_4602,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(iPr_def_18,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_4577,c_85]) ).
tcf(c_4604,plain,
multiply(iPr_def_19,iPr_def_17) = sk_c7,
inference(superposition,[status(thm)],[c_421,c_2732]) ).
tcf(c_4607,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_17,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_4604,c_85]) ).
tcf(c_4670,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c6,
inference(superposition,[status(thm)],[c_425,c_2733]) ).
tcf(c_4673,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_21,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_4670,c_85]) ).
tcf(c_4914,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c7,
inference(superposition,[status(thm)],[c_427,c_2734]) ).
tcf(c_4960,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_23,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_4914,c_85]) ).
tcf(c_4962,plain,
multiply(iPr_def_16,iPr_def_14) = sk_c5,
inference(superposition,[status(thm)],[c_418,c_2735]) ).
tcf(c_5103,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_4962,c_85]) ).
tcf(c_13516,plain,
multiply(sk_c2,iPr_def_14) = multiply(iPr_def_23,sk_c5),
inference(superposition,[status(thm)],[c_418,c_2712]) ).
tcf(c_13734,plain,
multiply(iPr_def_22,multiply(iPr_def_23,sk_c5)) = iPr_def_14,
inference(superposition,[status(thm)],[c_13516,c_2734]) ).
tcf(c_13736,plain,
multiply(sk_c3,iPr_def_15) = multiply(iPr_def_21,sk_c5),
inference(superposition,[status(thm)],[c_419,c_2713]) ).
tcf(c_14414,plain,
multiply(sk_c1,iPr_def_15) = multiply(iPr_def_18,sk_c5),
inference(superposition,[status(thm)],[c_419,c_2717]) ).
tcf(c_14642,plain,
multiply(iPr_def_24,multiply(iPr_def_18,sk_c5)) = iPr_def_15,
inference(superposition,[status(thm)],[c_14414,c_2731]) ).
tcf(c_15119,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2719,c_83]) ).
tcf(c_15150,plain,
multiply(inverse(sk_c6),iPr_def_15) = sk_c5,
inference(superposition,[status(thm)],[c_419,c_15119]) ).
tcf(c_15153,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_15119]) ).
tcf(c_15154,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_15119]) ).
tcf(c_15290,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2735,c_15119]) ).
tcf(c_15291,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2734,c_15119]) ).
tcf(c_15292,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2733,c_15119]) ).
tcf(c_15293,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2732,c_15119]) ).
tcf(c_15294,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2731,c_15119]) ).
tcf(c_15339,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_15119,c_15119]) ).
tcf(c_16216,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_15154,c_15339]) ).
tcf(c_16230,plain,
multiply(sk_c6,sk_c5) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_16216,c_2715]) ).
tcf(c_16235,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_16216,c_15153]) ).
tcf(c_16236,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_16230,c_419]) ).
tcf(c_16910,plain,
( ~ iPr_def_10
| ( multiply(sk_c7,sk_c6) != sk_c5 )
| ( inverse(inverse(iPr_def_16)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_15290,c_433]) ).
tcf(c_16912,plain,
multiply(sk_c7,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_15290,c_84]) ).
tcf(c_16917,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_15290,c_15119]) ).
tcf(c_16918,plain,
multiply(sk_c7,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_15290,c_16216]) ).
tcf(c_16961,plain,
multiply(sk_c4,identity) = multiply(iPr_def_17,iPr_def_16),
inference(superposition,[status(thm)],[c_16912,c_2714]) ).
tcf(c_16962,plain,
multiply(sk_c2,identity) = multiply(iPr_def_23,iPr_def_16),
inference(superposition,[status(thm)],[c_16912,c_2712]) ).
tcf(c_16963,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(superposition,[status(thm)],[c_16912,c_2735]) ).
tcf(c_17030,plain,
inverse(iPr_def_16) = sk_c7,
inference(demodulation,[status(thm)],[c_16918,c_16216]) ).
tcf(c_17292,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm)],[c_1020,c_16917]) ).
tcf(c_17309,plain,
multiply(sk_c7,sk_c5) = iPr_def_14,
inference(superposition,[status(thm)],[c_4962,c_16917]) ).
tcf(c_17598,plain,
multiply(iPr_def_17,iPr_def_16) = sk_c4,
inference(demodulation,[status(thm)],[c_16961,c_16216]) ).
tcf(c_17718,plain,
multiply(sk_c6,identity) = multiply(iPr_def_24,iPr_def_18),
inference(superposition,[status(thm)],[c_16216,c_4602]) ).
tcf(c_17721,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_17718,c_4577]) ).
tcf(c_17886,plain,
multiply(iPr_def_23,iPr_def_16) = sk_c2,
inference(demodulation,[status(thm)],[c_16962,c_16216]) ).
tcf(c_17939,plain,
multiply(sk_c7,identity) = multiply(iPr_def_19,iPr_def_17),
inference(superposition,[status(thm)],[c_16216,c_4607]) ).
tcf(c_18038,plain,
multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_16216,c_4673]) ).
tcf(c_18083,plain,
multiply(sk_c7,identity) = multiply(iPr_def_22,iPr_def_23),
inference(superposition,[status(thm)],[c_16216,c_4960]) ).
tcf(c_18084,plain,
multiply(sk_c7,iPr_def_16) = multiply(iPr_def_22,sk_c2),
inference(superposition,[status(thm)],[c_17886,c_4960]) ).
tcf(c_18195,plain,
multiply(sk_c5,identity) = multiply(iPr_def_16,iPr_def_14),
inference(superposition,[status(thm)],[c_16216,c_5103]) ).
tcf(c_18199,plain,
multiply(sk_c5,identity) = sk_c5,
inference(light_normalisation,[status(thm)],[c_18195,c_4962]) ).
tcf(c_18218,plain,
( ~ iPr_def_10
| ( multiply(sk_c2,sk_c6) != sk_c5 )
| ( inverse(inverse(iPr_def_22)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_15291,c_433]) ).
tcf(c_18219,plain,
( ~ iPr_def_13
| ( multiply(sk_c2,sk_c6) != sk_c7 )
| ( inverse(inverse(iPr_def_22)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_15291,c_430]) ).
tcf(c_18220,plain,
multiply(sk_c2,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_15291,c_84]) ).
tcf(c_18223,plain,
( ~ iPr_def_11
| ( multiply(sk_c2,sk_c7) != sk_c6 )
| ( inverse(inverse(iPr_def_22)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_15291,c_432]) ).
tcf(c_18225,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_22,X0)) = X0,
inference(superposition,[status(thm)],[c_15291,c_15119]) ).
tcf(c_18226,plain,
multiply(sk_c2,identity) = inverse(iPr_def_22),
inference(superposition,[status(thm)],[c_15291,c_16216]) ).
tcf(c_18237,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_23 )
| ( inverse(inverse(iPr_def_22)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_18223,c_427]) ).
tcf(c_18282,plain,
multiply(iPr_def_22,identity) = iPr_def_22,
inference(superposition,[status(thm)],[c_18220,c_2734]) ).
tcf(c_18285,plain,
inverse(iPr_def_22) = sk_c2,
inference(demodulation,[status(thm)],[c_18226,c_16216]) ).
tcf(c_18308,plain,
multiply(sk_c2,sk_c7) = iPr_def_23,
inference(superposition,[status(thm)],[c_4914,c_18225]) ).
tcf(c_19365,plain,
( ~ iPr_def_10
| ( multiply(sk_c3,sk_c6) != sk_c5 )
| ( inverse(inverse(iPr_def_20)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_15292,c_433]) ).
tcf(c_19367,plain,
multiply(sk_c3,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_15292,c_84]) ).
tcf(c_19372,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_15292,c_15119]) ).
tcf(c_19373,plain,
multiply(sk_c3,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_15292,c_16216]) ).
tcf(c_19386,plain,
( ~ iPr_def_10
| ( sk_c5 != iPr_def_21 )
| ( inverse(inverse(iPr_def_20)) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_19365,c_425]) ).
tcf(c_19418,plain,
inverse(iPr_def_20) = sk_c3,
inference(demodulation,[status(thm)],[c_19373,c_16216]) ).
tcf(c_20430,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm)],[c_1022,c_19372]) ).
tcf(c_20431,plain,
multiply(sk_c3,sk_c6) = iPr_def_21,
inference(superposition,[status(thm)],[c_4670,c_19372]) ).
tcf(c_25299,plain,
( ~ iPr_def_12
| ( multiply(sk_c4,sk_c7) != sk_c5 )
| ( inverse(inverse(iPr_def_19)) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_15293,c_431]) ).
tcf(c_25301,plain,
multiply(sk_c4,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_15293,c_16216]) ).
tcf(c_25308,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_17 )
| ( inverse(inverse(iPr_def_19)) != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_25299,c_421]) ).
tcf(c_25373,plain,
inverse(iPr_def_19) = sk_c4,
inference(demodulation,[status(thm)],[c_25301,c_16216]) ).
tcf(c_28799,plain,
multiply(sk_c1,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_15294,c_84]) ).
tcf(c_28802,plain,
( ~ iPr_def_11
| ( multiply(sk_c1,sk_c7) != sk_c6 )
| ( inverse(inverse(iPr_def_24)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_15294,c_432]) ).
tcf(c_28805,plain,
multiply(sk_c1,identity) = inverse(iPr_def_24),
inference(superposition,[status(thm)],[c_15294,c_16216]) ).
tcf(c_29846,plain,
inverse(iPr_def_24) = sk_c1,
inference(demodulation,[status(thm)],[c_28805,c_16216]) ).
tcf(c_43500,plain,
( ~ iPr_def_12
| ( sk_c5 != identity )
| ( sk_c7 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_2037,c_16235]) ).
tcf(c_46783,plain,
( ~ iPr_def_10
| ( sk_c6 != identity )
| ( sk_c6 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_2245,c_16235]) ).
tcf(c_55692,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_46783,c_43500,c_29846,c_28802,c_28799,c_25373,c_25308,c_20431,c_20430,c_19418,c_19386,c_19367,c_18308,c_18285,c_18282,c_18237,c_18219,c_18218,c_18220,c_18199,c_18195,c_18084,c_18083,c_18038,c_17939,c_17886,c_17721,c_17718,c_17598,c_17309,c_17292,c_17030,c_16963,c_16910,c_16912,c_16236,c_16230,c_15150,c_14642,c_14414,c_13736,c_13734,c_13516,c_2131,c_1904,c_463,c_462,c_461,c_460,c_457,c_456,c_455,c_454,c_451,c_450,c_449,c_448,c_447,c_446,c_445,c_444,c_443,c_439,c_438,c_437,c_436,c_435,c_434,c_429,c_428,c_426,c_424,c_423,c_420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP387-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n018.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Wed Sep 23 14:40:53 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 15.92/8.30 % SZS status Started for theBenchmark.p
% 15.92/8.30 % SZS status Unsatisfiable for theBenchmark.p
% 15.92/8.30
% 15.92/8.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.92/8.30
% 15.92/8.30 % ------ iProver source info
% 15.92/8.30
% 15.92/8.30 % git: date: 2026-07-19 20:42:38 +0200
% 15.92/8.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.92/8.30 % git: non_committed_changes: false
% 15.92/8.30
% 15.92/8.30 % ------ Parsing...% successful
% 15.92/8.30
% 15.92/8.30
% 15.92/8.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 15.92/8.30
% 15.92/8.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 15.92/8.30
% 15.92/8.30 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 15.92/8.30
% 15.92/8.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 15.92/8.30 % ------ Proving...
% 15.92/8.30 % ------ Problem Properties
% 15.92/8.30
% 15.92/8.30 %
% 15.92/8.30 % clauses 49
% 15.92/8.30 % conjectures 35
% 15.92/8.30 % EPR 31
% 15.92/8.30 % Horn 18
% 15.92/8.30 % unary 14
% 15.92/8.30 % binary 30
% 15.92/8.30 % lits 93
% 15.92/8.30 % lits eq 85
% 18.99/8.30 % fd_pure 0
% 18.99/8.30 % fd_pseudo 0
% 18.99/8.30 % fd_cond 0
% 18.99/8.30 % fd_pseudo_cond 0
% 18.99/8.30 % AC symbols 0
% 18.99/8.30
% 18.99/8.30 % ------ Schedule dynamic 5 is on
% 18.99/8.30
% 18.99/8.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.99/8.30
% 18.99/8.30
% 18.99/8.30 % ------
% 18.99/8.30 % Current options:
% 18.99/8.30 % ------
% 18.99/8.30
% 18.99/8.30
% 18.99/8.30 %
% 18.99/8.30
% 18.99/8.30 % ------ Proving...
% 18.99/8.30 %
% 18.99/8.30
% 18.99/8.30 % SZS status Unsatisfiable for theBenchmark.p
% 18.99/8.30
% 18.99/8.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.99/8.30
% 18.99/8.30
%------------------------------------------------------------------------------