%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP227-1 : 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 : n020.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 01:31:52 PM UTC 2026
% Result : Unsatisfiable 8.02s 1.75s
% Output : CNFRefutation 8.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 35
% Syntax : Number of formulae : 310 ( 93 unt; 10 def)
% Number of atoms : 1058 ( 567 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 620 ( 254 ~; 366 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 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 : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 96 !; 0 ?; 69 :)
% 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,
( inverse(sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| inverse(sk_c1) = sk_c8 ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c1) = sk_c8 ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| inverse(sk_c1) = sk_c8 ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c6 = inverse(sk_c5)
| inverse(sk_c1) = sk_c8 ),
inference(reorient_equations,[],[f12]) ).
fof(f16,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f20]) ).
fof(f28,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c6 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f36]) ).
fof(f40,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( inverse(sk_c8) = sk_c7
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f44]) ).
fof(f52,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f56]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X5,sk_c8) != sk_c7
| inverse(X4) != X5
| multiply(X4,X5) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| inverse(sk_c8) != sk_c7
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != X1
| multiply(sk_c8,X1) != sk_c7
| multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c7 != multiply(X5,sk_c8)
| inverse(X4) != X5
| sk_c7 != multiply(X4,X5)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X2)
| multiply(X2,sk_c8) != X1
| sk_c7 != multiply(sk_c8,X1)
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c8 ),
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
! [X2,X3,X0,X4,X5] :
( sk_c7 != multiply(X5,sk_c8)
| inverse(X4) != X5
| sk_c7 != multiply(X4,X5)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c8 ),
inference(equality_resolution,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X4] :
( sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4))
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c8 ),
inference(equality_resolution,[],[f66]) ).
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_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_93,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_99,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_101,negated_conjecture,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_105,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c8) != sk_c7 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c8 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 )
| ( multiply(inverse(X3),sk_c8) != sk_c7 )
| ( multiply(X3,inverse(X3)) != sk_c7 )
| ( multiply(sk_c8,multiply(X2,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_405,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_406,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(inverse(X0),sk_c8) != sk_c7 )
| ( multiply(X0,inverse(X0)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_116]) ).
tcf(c_407,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_408,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_116]) ).
tcf(c_409,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_410,definition,
iPr_def_14 = inverse(sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_412,definition,
iPr_def_16 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_413,definition,
iPr_def_17 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_414,definition,
iPr_def_18 = multiply(sk_c5,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_415,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_416,definition,
iPr_def_20 = multiply(sk_c4,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_417,definition,
iPr_def_21 = multiply(sk_c2,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_418,definition,
iPr_def_22 = multiply(sk_c8,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_419,definition,
iPr_def_23 = multiply(sk_c1,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_420,definition,
iPr_def_24 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_421,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_409,c_410]) ).
tcf(c_422,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_408]) ).
tcf(c_423,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_407]) ).
tcf(c_424,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(inverse(X0),sk_c8) != sk_c7 )
| ( multiply(X0,inverse(X0)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_406]) ).
tcf(c_425,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_405]) ).
tcf(c_429,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_112,c_415]) ).
tcf(c_430,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_111,c_416]) ).
tcf(c_431,negated_conjecture,
( ( iPr_def_16 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_447,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_454,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_455,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_456,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_457,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_721,plain,
( ( sk_c8 = iPr_def_16 )
| ( inverse(iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_429,c_410]) ).
tcf(c_780,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_439,c_414]) ).
tcf(c_858,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_441,c_419]) ).
tcf(c_879,plain,
multiply(iPr_def_24,sk_c1) = identity,
inference(superposition,[status(thm)],[c_420,c_84]) ).
tcf(c_880,plain,
multiply(iPr_def_14,sk_c8) = identity,
inference(superposition,[status(thm)],[c_410,c_84]) ).
tcf(c_881,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_415,c_84]) ).
tcf(c_882,plain,
multiply(iPr_def_17,sk_c5) = identity,
inference(superposition,[status(thm)],[c_413,c_84]) ).
tcf(c_883,plain,
multiply(iPr_def_16,sk_c2) = identity,
inference(superposition,[status(thm)],[c_412,c_84]) ).
tcf(c_884,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c8 )
| ( sk_c8 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_457]) ).
tcf(c_913,plain,
! [X0: $i] : inverse(X0) = inverse(X0),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_916,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_457]) ).
tcf(c_928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_916]) ).
tcf(c_974,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_19 )
| ( iPr_def_19 != inverse(sk_c4) )
| ( inverse(X0) != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_928]) ).
tcf(c_1102,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_447,c_417]) ).
tcf(c_1129,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c8 )
| ( sk_c8 != iPr_def_19 )
| ( inverse(X0) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_884]) ).
tcf(c_1150,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_448,c_419]) ).
tcf(c_1207,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( sk_c8 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_449,c_448]) ).
tcf(c_1212,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_449,c_419]) ).
tcf(c_1339,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_451,c_414]) ).
tcf(c_1426,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_453,c_447]) ).
tcf(c_1429,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_453,c_417]) ).
tcf(c_1432,plain,
( ( sk_c8 = iPr_def_19 )
| ( inverse(iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_453,c_410]) ).
tcf(c_1484,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_454,c_419]) ).
tcf(c_1561,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_455,c_419]) ).
tcf(c_1596,plain,
( ( inverse(sk_c4) = iPr_def_19 )
| ( iPr_def_19 != inverse(sk_c4) )
| ( inverse(sk_c4) != inverse(sk_c4) ) ),
inference(instantiation,[status(thm)],[c_974]) ).
tcf(c_1597,plain,
inverse(sk_c4) = inverse(sk_c4),
inference(instantiation,[status(thm)],[c_913]) ).
tcf(c_1735,plain,
iPr_def_14 = iPr_def_14,
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1825,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_455,c_421]) ).
tcf(c_1829,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_449,c_421]) ).
tcf(c_1833,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_443,c_421]) ).
tcf(c_1911,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_20 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_416,c_423]) ).
tcf(c_1914,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c7 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_83,c_423]) ).
tcf(c_1916,plain,
( ~ iPr_def_12
| ( sk_c7 != identity )
| ( inverse(iPr_def_14) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_880,c_423]) ).
tcf(c_1936,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_20 )
| ( sk_c8 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_1911,c_415]) ).
tcf(c_2043,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_23 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_419,c_425]) ).
tcf(c_2044,plain,
( ~ iPr_def_10
| ( sk_c8 != sk_c7 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_83,c_425]) ).
tcf(c_2045,plain,
( ~ iPr_def_10
| ( sk_c8 != identity )
| ( inverse(inverse(sk_c7)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_84,c_425]) ).
tcf(c_2066,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_24 )
| ( sk_c8 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_2043,c_420]) ).
tcf(c_2172,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( sk_c8 != iPr_def_19 )
| ( inverse(sk_c4) != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1129]) ).
tcf(c_2211,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_457]) ).
tcf(c_2254,plain,
( ~ iPr_def_13
| ( inverse(sk_c4) != sk_c8 )
| ( multiply(sk_c8,iPr_def_20) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_416,c_422]) ).
tcf(c_2259,plain,
( ~ iPr_def_13
| ( inverse(iPr_def_14) != sk_c8 )
| ( multiply(sk_c8,identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_880,c_422]) ).
tcf(c_2279,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_19 )
| ( multiply(sk_c8,iPr_def_20) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2254,c_415]) ).
tcf(c_2333,plain,
( ~ iPr_def_11
| ( inverse(identity) != sk_c7 )
| ( multiply(inverse(identity),sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_83,c_424]) ).
tcf(c_2600,plain,
( ( sk_c8 = iPr_def_16 )
| ~ iPr_def_11
| ( multiply(iPr_def_19,iPr_def_14) != sk_c7 )
| ( multiply(inverse(iPr_def_19),sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_721,c_424]) ).
tcf(c_2606,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_416,c_85]) ).
tcf(c_2613,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2615,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_879,c_85]) ).
tcf(c_2616,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_880,c_85]) ).
tcf(c_2617,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_881,c_85]) ).
tcf(c_2618,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_882,c_85]) ).
tcf(c_2619,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_883,c_85]) ).
tcf(c_2625,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2619,c_83]) ).
tcf(c_2626,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2618,c_83]) ).
tcf(c_2627,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2617,c_83]) ).
tcf(c_2628,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2616,c_83]) ).
tcf(c_2629,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2615,c_83]) ).
tcf(c_2950,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1207,c_410]) ).
tcf(c_3424,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1426,c_416]) ).
tcf(c_3559,plain,
( ~ iPr_def_10
| ( inverse(sk_c4) != sk_c8 )
| ( multiply(sk_c4,sk_c7) != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_425]) ).
tcf(c_4134,plain,
multiply(iPr_def_16,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_417,c_2625]) ).
tcf(c_4151,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_4134,c_85]) ).
tcf(c_4225,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c8,
inference(superposition,[status(thm)],[c_416,c_2627]) ).
tcf(c_4228,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_4225,c_85]) ).
tcf(c_4230,plain,
multiply(iPr_def_14,iPr_def_22) = sk_c3,
inference(superposition,[status(thm)],[c_418,c_2628]) ).
tcf(c_4252,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_14,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_429,c_2628]) ).
tcf(c_4644,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_22,X0)) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_4230,c_85]) ).
tcf(c_4646,plain,
multiply(iPr_def_24,iPr_def_23) = sk_c7,
inference(superposition,[status(thm)],[c_419,c_2629]) ).
tcf(c_4649,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(iPr_def_23,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_4646,c_85]) ).
tcf(c_4690,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_2211]) ).
tcf(c_6516,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1102,c_2625]) ).
tcf(c_6517,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6516,c_4134]) ).
tcf(c_6580,plain,
( ( iPr_def_14 = iPr_def_20 )
| ~ iPr_def_11
| ( multiply(iPr_def_23,iPr_def_14) != sk_c7 )
| ( multiply(inverse(iPr_def_23),sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_2950,c_424]) ).
tcf(c_6906,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1150,c_2629]) ).
tcf(c_6907,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c8 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_6906,c_4646]) ).
tcf(c_6918,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1212,c_2629]) ).
tcf(c_6919,plain,
( ( sk_c7 = iPr_def_14 )
| ( sk_c8 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_6918,c_4646]) ).
tcf(c_7294,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1429,c_2625]) ).
tcf(c_7295,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_7294,c_4134]) ).
tcf(c_7364,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1484,c_2629]) ).
tcf(c_7365,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c8 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7364,c_4646]) ).
tcf(c_7376,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1561,c_2629]) ).
tcf(c_7377,plain,
( ( sk_c7 = iPr_def_14 )
| ( sk_c8 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7376,c_4646]) ).
tcf(c_10065,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2613,c_83]) ).
tcf(c_10099,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_10065]) ).
tcf(c_10100,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_10065]) ).
tcf(c_10197,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2629,c_10065]) ).
tcf(c_10198,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2628,c_10065]) ).
tcf(c_10199,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2627,c_10065]) ).
tcf(c_10200,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2626,c_10065]) ).
tcf(c_10201,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2625,c_10065]) ).
tcf(c_10205,plain,
multiply(inverse(iPr_def_19),sk_c8) = iPr_def_20,
inference(superposition,[status(thm)],[c_4225,c_10065]) ).
tcf(c_10214,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_10065,c_10065]) ).
tcf(c_10614,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_10100,c_10214]) ).
tcf(c_10633,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_10614,c_10099]) ).
tcf(c_10660,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_10633,c_84]) ).
tcf(c_10857,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_14,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4225,c_4252]) ).
tcf(c_10861,plain,
( ( identity = iPr_def_20 )
| ( sk_c8 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_10857,c_880]) ).
tcf(c_11025,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c7 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_1833,c_1833,c_2066,c_6919,c_7377]) ).
tcf(c_11026,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c7 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_11025]) ).
tcf(c_11099,plain,
( ~ iPr_def_12
| ( sk_c8 != identity )
| ( sk_c8 != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1914,c_10633]) ).
tcf(c_11132,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_12
| ( identity != iPr_def_23 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm)],[c_447,c_11099]) ).
tcf(c_11488,plain,
( ( identity = iPr_def_20 )
| ( inverse(iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10861,c_410]) ).
tcf(c_11659,plain,
multiply(sk_c1,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_10197,c_84]) ).
tcf(c_11661,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_24)) != sk_c8 )
| ( multiply(sk_c8,multiply(sk_c1,sk_c8)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_10197,c_422]) ).
tcf(c_11663,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_24,X0)) = X0,
inference(superposition,[status(thm)],[c_10197,c_10065]) ).
tcf(c_11664,plain,
multiply(sk_c1,identity) = inverse(iPr_def_24),
inference(superposition,[status(thm)],[c_10197,c_10614]) ).
tcf(c_12464,plain,
( ~ iPr_def_10
| ( sk_c8 != identity )
| ( sk_c8 != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2044,c_10633]) ).
tcf(c_12499,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_10
| ( identity != iPr_def_24 )
| ( sk_c8 != sk_c7 ) ),
inference(superposition,[status(thm)],[c_453,c_12464]) ).
tcf(c_12698,plain,
( ( sk_c7 = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c8 != identity )
| ( inverse(inverse(iPr_def_22)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_442,c_2045]) ).
tcf(c_12917,plain,
inverse(iPr_def_24) = sk_c1,
inference(demodulation,[status(thm)],[c_11664,c_10614]) ).
tcf(c_12925,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c1 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1432,c_12917]) ).
tcf(c_13120,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm)],[c_879,c_11663]) ).
tcf(c_13122,plain,
multiply(sk_c1,sk_c7) = iPr_def_23,
inference(superposition,[status(thm)],[c_4646,c_11663]) ).
tcf(c_14320,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_14,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_12925,c_858]) ).
tcf(c_14329,plain,
( ( sk_c3 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_14320,c_4230]) ).
tcf(c_14457,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_14329,c_435]) ).
tcf(c_14640,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( inverse(iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14457,c_410]) ).
tcf(c_15512,plain,
( ~ iPr_def_10
| ( multiply(sk_c8,sk_c7) != sk_c8 )
| ( inverse(inverse(iPr_def_14)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_10198,c_425]) ).
tcf(c_15515,plain,
multiply(sk_c8,iPr_def_14) = identity,
inference(superposition,[status(thm)],[c_10198,c_84]) ).
tcf(c_15519,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_14,X0)) = X0,
inference(superposition,[status(thm)],[c_10198,c_10065]) ).
tcf(c_15520,plain,
multiply(sk_c8,identity) = inverse(iPr_def_14),
inference(superposition,[status(thm)],[c_10198,c_10614]) ).
tcf(c_15664,plain,
multiply(sk_c4,identity) = multiply(iPr_def_20,iPr_def_14),
inference(superposition,[status(thm)],[c_15515,c_2606]) ).
tcf(c_15665,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(superposition,[status(thm)],[c_15515,c_2628]) ).
tcf(c_15810,plain,
inverse(iPr_def_14) = sk_c8,
inference(demodulation,[status(thm)],[c_15520,c_10614]) ).
tcf(c_15819,plain,
( ~ iPr_def_12
| ( sk_c7 != identity )
| ( sk_c8 != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_1916,c_15810]) ).
tcf(c_15820,plain,
( ~ iPr_def_12
| ( sk_c7 != identity ) ),
inference(equality_resolution_simp,[status(thm)],[c_15819]) ).
tcf(c_15859,plain,
( ( sk_c8 = iPr_def_24 )
| ~ iPr_def_12
| ( identity != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_455,c_15820]) ).
tcf(c_15863,plain,
( ( sk_c8 = iPr_def_23 )
| ~ iPr_def_12
| ( identity != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_449,c_15820]) ).
tcf(c_15867,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_12
| ( identity != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_443,c_15820]) ).
tcf(c_15868,plain,
( ( sk_c7 = iPr_def_20 )
| ~ iPr_def_12
| ( identity != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_442,c_15820]) ).
tcf(c_15869,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_12
| ( identity != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_441,c_15820]) ).
tcf(c_15990,plain,
( ( sk_c8 = iPr_def_24 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_15859,c_1936,c_7295,c_7365]) ).
tcf(c_15996,plain,
( iPr_def_13
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_24 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1825,c_15990]) ).
tcf(c_16088,plain,
( ( sk_c8 = iPr_def_23 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_15863,c_1936,c_6517,c_6907]) ).
tcf(c_16094,plain,
( iPr_def_13
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_23 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1829,c_16088]) ).
tcf(c_16247,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm)],[c_880,c_15519]) ).
tcf(c_16264,plain,
multiply(sk_c8,sk_c3) = iPr_def_22,
inference(superposition,[status(thm)],[c_4230,c_15519]) ).
tcf(c_16271,plain,
( ~ iPr_def_13
| ( sk_c8 != sk_c7 )
| ( inverse(iPr_def_14) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_15519,c_422]) ).
tcf(c_16338,plain,
( ~ iPr_def_13
| ( sk_c8 != sk_c7 ) ),
inference(ground_joinability,[status(thm)],[c_16271,c_15810]) ).
tcf(c_16576,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_13
| ( sk_c8 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_443,c_16338]) ).
tcf(c_16579,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_13
| ( sk_c8 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_440,c_16338]) ).
tcf(c_16725,plain,
( ( iPr_def_14 = sk_c7 )
| ( iPr_def_14 != iPr_def_14 )
| ( sk_c7 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_4690]) ).
tcf(c_16738,plain,
( ( identity != iPr_def_22 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_15867,c_1936,c_15869,c_15868]) ).
tcf(c_16739,plain,
( ~ iPr_def_12
| ( identity != iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_16738]) ).
tcf(c_16836,plain,
multiply(iPr_def_20,iPr_def_14) = sk_c4,
inference(demodulation,[status(thm)],[c_15664,c_10614]) ).
tcf(c_18846,plain,
( ~ iPr_def_10
| ( multiply(sk_c4,sk_c7) != sk_c8 )
| ( inverse(inverse(iPr_def_19)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_10199,c_425]) ).
tcf(c_18849,plain,
multiply(sk_c4,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_10199,c_84]) ).
tcf(c_18852,plain,
( ~ iPr_def_12
| ( multiply(sk_c4,sk_c8) != sk_c7 )
| ( inverse(inverse(iPr_def_19)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_10199,c_423]) ).
tcf(c_18853,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_10199,c_10065]) ).
tcf(c_18854,plain,
multiply(sk_c4,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_10199,c_10614]) ).
tcf(c_18859,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_20 )
| ( inverse(inverse(iPr_def_19)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_18852,c_416]) ).
tcf(c_18873,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_3424,c_18849]) ).
tcf(c_18935,plain,
inverse(iPr_def_19) = sk_c4,
inference(demodulation,[status(thm)],[c_18854,c_10614]) ).
tcf(c_18937,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c4 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_14640,c_18935]) ).
tcf(c_18947,plain,
( ~ iPr_def_11
| ( multiply(iPr_def_19,sk_c4) != sk_c7 )
| ( multiply(inverse(iPr_def_19),sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_18935,c_424]) ).
tcf(c_18949,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_20 )
| ( sk_c7 != identity ) ),
inference(light_normalisation,[status(thm)],[c_18947,c_416,c_881,c_18935]) ).
tcf(c_18957,plain,
multiply(sk_c4,sk_c8) = iPr_def_20,
inference(superposition,[status(thm)],[c_4225,c_18853]) ).
tcf(c_19421,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_14,sk_c8) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18937,c_416]) ).
tcf(c_19424,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_19421,c_880]) ).
tcf(c_19660,plain,
( ~ iPr_def_13
| ( multiply(sk_c8,identity) != sk_c7 ) ),
inference(ground_joinability,[status(thm)],[c_2259,c_15810]) ).
tcf(c_20288,plain,
multiply(sk_c5,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_10200,c_84]) ).
tcf(c_20306,plain,
( ( identity = iPr_def_18 )
| ( sk_c8 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_1339,c_20288]) ).
tcf(c_20308,plain,
( ( identity = iPr_def_18 )
| ( sk_c7 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_780,c_20288]) ).
tcf(c_21307,plain,
( ( identity = iPr_def_18 )
| ~ iPr_def_13
| ( sk_c8 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_20308,c_16338]) ).
tcf(c_21325,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_18 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_20308,c_421]) ).
tcf(c_21869,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 != iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_21325,c_421,c_1735,c_11026,c_16725]) ).
tcf(c_21897,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( multiply(identity,sk_c8) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2333,c_10633]) ).
tcf(c_21898,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( sk_c8 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_21897,c_83]) ).
tcf(c_21926,plain,
( ( sk_c8 = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( sk_c8 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_455,c_21898]) ).
tcf(c_22289,plain,
( ~ iPr_def_10
| ( multiply(sk_c2,sk_c7) != sk_c8 )
| ( inverse(inverse(iPr_def_16)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_10201,c_425]) ).
tcf(c_22292,plain,
multiply(sk_c2,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_10201,c_84]) ).
tcf(c_22296,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_10201,c_10065]) ).
tcf(c_22297,plain,
multiply(sk_c2,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_10201,c_10614]) ).
tcf(c_22422,plain,
inverse(iPr_def_16) = sk_c2,
inference(demodulation,[status(thm)],[c_22297,c_10614]) ).
tcf(c_22425,plain,
( ( identity = iPr_def_20 )
| ( sk_c2 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_11488,c_22422]) ).
tcf(c_22545,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_12
| ( identity != iPr_def_23 )
| ( sk_c8 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_441,c_11132]) ).
tcf(c_23113,plain,
multiply(sk_c2,sk_c8) = iPr_def_21,
inference(superposition,[status(thm)],[c_4134,c_22296]) ).
tcf(c_23351,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_12499,c_2066,c_6517,c_7295]) ).
tcf(c_23418,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_14 )
| ( multiply(sk_c8,sk_c7) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_15512,c_410,c_15810]) ).
tcf(c_24311,plain,
( ~ iPr_def_10
| ( multiply(sk_c4,sk_c7) != sk_c8 ) ),
inference(global_subsumption_just,[status(thm)],[c_18846,c_415,c_1596,c_1597,c_2172,c_3559,c_23351]) ).
tcf(c_24338,plain,
( ( sk_c8 = iPr_def_24 )
| ~ iPr_def_10
| ( multiply(sk_c4,iPr_def_14) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_455,c_24311]) ).
tcf(c_24342,plain,
( ( sk_c8 = iPr_def_23 )
| ~ iPr_def_10
| ( multiply(sk_c4,iPr_def_14) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_449,c_24311]) ).
tcf(c_24554,plain,
( ( multiply(sk_c4,iPr_def_14) != sk_c8 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_24338,c_2066,c_24342,c_24338]) ).
tcf(c_24555,plain,
( ~ iPr_def_10
| ( multiply(sk_c4,iPr_def_14) != sk_c8 ) ),
inference(renaming,[status(thm)],[c_24554]) ).
tcf(c_24634,plain,
multiply(sk_c8,identity) = multiply(iPr_def_16,iPr_def_21),
inference(superposition,[status(thm)],[c_10614,c_4151]) ).
tcf(c_24651,plain,
multiply(sk_c8,identity) = multiply(iPr_def_19,iPr_def_20),
inference(superposition,[status(thm)],[c_10614,c_4228]) ).
tcf(c_24652,plain,
multiply(sk_c8,iPr_def_14) = multiply(iPr_def_19,sk_c4),
inference(superposition,[status(thm)],[c_16836,c_4228]) ).
tcf(c_24844,plain,
( ( identity = iPr_def_20 )
| ( multiply(iPr_def_14,sk_c8) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_22425,c_417]) ).
tcf(c_24847,plain,
( ( identity = iPr_def_21 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_24844,c_880]) ).
tcf(c_25236,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24847,c_19424]) ).
tcf(c_25237,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24847,c_18873]) ).
tcf(c_25317,plain,
multiply(sk_c3,identity) = multiply(iPr_def_14,iPr_def_22),
inference(superposition,[status(thm)],[c_10614,c_4644]) ).
tcf(c_25321,plain,
multiply(sk_c3,identity) = sk_c3,
inference(light_normalisation,[status(thm)],[c_25317,c_4230]) ).
tcf(c_25349,plain,
multiply(sk_c7,identity) = multiply(iPr_def_24,iPr_def_23),
inference(superposition,[status(thm)],[c_10614,c_4649]) ).
tcf(c_25360,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_25349,c_4646]) ).
tcf(c_26262,plain,
( ( sk_c8 = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c7 != identity ) ),
inference(global_subsumption_just,[status(thm)],[c_21926,c_7365,c_18949]) ).
tcf(c_26288,plain,
( ( sk_c8 = iPr_def_24 )
| ~ iPr_def_11
| ( identity != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_455,c_26262]) ).
tcf(c_26290,plain,
( ( sk_c8 = iPr_def_24 )
| ~ iPr_def_11
| ( identity != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_452,c_26262]) ).
tcf(c_26349,plain,
( ( sk_c8 = iPr_def_24 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_26288,c_20306,c_26290]) ).
tcf(c_27016,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_26349,c_25360,c_25349,c_25321,c_25317,c_25237,c_25236,c_24652,c_24651,c_24634,c_24555,c_23418,c_23351,c_23113,c_22545,c_22422,c_22289,c_22292,c_21869,c_21307,c_19660,c_18957,c_18947,c_18935,c_18859,c_18849,c_16739,c_16579,c_16576,c_16264,c_16247,c_16094,c_15996,c_15810,c_15665,c_15515,c_14457,c_13122,c_13120,c_12917,c_12698,c_11661,c_11659,c_10633,c_10205,c_6580,c_10660,c_2600,c_2279,c_1936,c_880,c_455,c_454,c_449,c_448,c_443,c_442,c_437,c_436,c_435,c_431,c_430,c_429,c_421,c_420,c_415,c_412,c_410]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP227-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 14:12:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 8.02/1.75 % SZS status Started for theBenchmark.p
% 8.02/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 8.02/1.75
% 8.02/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.02/1.75
% 8.02/1.75 % ------ iProver source info
% 8.02/1.75
% 8.02/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 8.02/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.02/1.75 % git: non_committed_changes: false
% 8.02/1.75
% 8.02/1.75 % ------ Parsing...% successful
% 8.02/1.75
% 8.02/1.75
% 8.02/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.02/1.75
% 8.02/1.75 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 8.02/1.75
% 8.02/1.75 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.02/1.75
% 8.02/1.75 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.02/1.75 % ------ Proving...
% 8.02/1.75 % ------ Problem Properties
% 8.02/1.75
% 8.02/1.75 %
% 8.02/1.75 % clauses 49
% 8.02/1.75 % conjectures 35
% 8.02/1.75 % EPR 31
% 8.02/1.75 % Horn 18
% 8.02/1.75 % unary 14
% 8.02/1.75 % binary 30
% 8.02/1.75 % lits 91
% 8.02/1.75 % lits eq 83
% 8.02/1.75 % fd_pure 0
% 8.02/1.75 % fd_pseudo 0
% 8.02/1.75 % fd_cond 0
% 8.02/1.75 % fd_pseudo_cond 0
% 8.02/1.75 % AC symbols 0
% 8.02/1.75
% 8.02/1.75 % ------ Schedule dynamic 5 is on
% 8.02/1.75
% 8.02/1.75 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.02/1.75
% 8.02/1.75
% 8.02/1.75 % ------
% 8.02/1.75 % Current options:
% 8.02/1.75 % ------
% 8.02/1.75
% 8.02/1.75
% 8.02/1.75 %
% 8.02/1.75
% 8.02/1.75 % ------ Proving...
% 8.02/1.75 %
% 8.02/1.75
% 8.02/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 8.02/1.75
% 8.02/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.02/1.76
% 8.02/1.76
%------------------------------------------------------------------------------