TSTP Solution File: GRP278-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP278-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:09 EDT 2022
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 38
% Syntax : Number of formulae : 219 ( 7 unt; 0 def)
% Number of atoms : 849 ( 219 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1231 ( 601 ~; 616 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f721,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f38,f43,f52,f57,f58,f76,f77,f78,f79,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f174,f185,f191,f197,f421,f458,f468,f655,f662,f700,f710,f714]) ).
fof(f714,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_10
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f713,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_10
| ~ spl0_12
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f712,f585]) ).
fof(f585,plain,
( sk_c5 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f233,f570]) ).
fof(f570,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f225,f567]) ).
fof(f567,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c4)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f207,f234]) ).
fof(f234,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f228,f28]) ).
fof(f28,plain,
( sk_c5 = inverse(sk_c3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl0_1
<=> sk_c5 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f228,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f207,f56]) ).
fof(f56,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl0_7
<=> sk_c5 = multiply(sk_c3,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f207,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f206,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f206,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f225,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c4)
| ~ spl0_12 ),
inference(superposition,[],[f207,f74]) ).
fof(f74,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl0_12
<=> multiply(sk_c5,sk_c6) = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f233,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f226,f37]) ).
fof(f37,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_3
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f226,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f207,f47]) ).
fof(f47,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_5
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f712,plain,
( sk_c5 != multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_7
| spl0_10
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f711,f570]) ).
fof(f711,plain,
( sk_c5 != multiply(sk_c6,sk_c5)
| spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f68,f475]) ).
fof(f475,plain,
( sk_c5 = sk_c4
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f474,plain,
( spl0_16
<=> sk_c5 = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f68,plain,
( sk_c5 != multiply(sk_c6,sk_c4)
| spl0_10 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl0_10
<=> sk_c5 = multiply(sk_c6,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f710,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f709,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_16
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f702,f672]) ).
fof(f672,plain,
( sk_c5 != inverse(sk_c5)
| spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f41,f475]) ).
fof(f41,plain,
( sk_c5 != inverse(sk_c4)
| spl0_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_4
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f702,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_19 ),
inference(backward_demodulation,[],[f574,f701]) ).
fof(f701,plain,
( sk_c5 = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_19 ),
inference(backward_demodulation,[],[f624,f493]) ).
fof(f493,plain,
( identity = sk_c5
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f492,plain,
( spl0_19
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f624,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f582,f618]) ).
fof(f618,plain,
( ! [X1] : multiply(sk_c5,X1) = X1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f617,f207]) ).
fof(f617,plain,
( ! [X1] : multiply(inverse(sk_c5),multiply(sk_c5,X1)) = multiply(sk_c5,X1)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f594,f605]) ).
fof(f605,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,X0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f531,f589]) ).
fof(f589,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = multiply(sk_c5,X0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f380,f570]) ).
fof(f380,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f3,f233]) ).
fof(f531,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c5,X0)) = multiply(sk_c4,X0)
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f527,f28]) ).
fof(f527,plain,
( ! [X0] : multiply(inverse(sk_c3),multiply(sk_c5,X0)) = multiply(sk_c4,X0)
| ~ spl0_7 ),
inference(superposition,[],[f207,f200]) ).
fof(f200,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,multiply(sk_c4,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f56]) ).
fof(f594,plain,
( ! [X1] : multiply(sk_c5,X1) = multiply(inverse(sk_c5),multiply(sk_c4,X1))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f535,f570]) ).
fof(f535,plain,
( ! [X1] : multiply(inverse(sk_c5),multiply(sk_c4,X1)) = multiply(sk_c6,X1)
| ~ spl0_12 ),
inference(superposition,[],[f207,f202]) ).
fof(f202,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c4,X0)
| ~ spl0_12 ),
inference(superposition,[],[f3,f74]) ).
fof(f582,plain,
( identity = multiply(sk_c5,sk_c2)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f205,f570]) ).
fof(f205,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_3 ),
inference(superposition,[],[f2,f37]) ).
fof(f574,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f37,f570]) ).
fof(f700,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f699,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_19 ),
inference(subsumption_resolution,[],[f698,f684]) ).
fof(f684,plain,
( sk_c5 != sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_19 ),
inference(superposition,[],[f494,f624]) ).
fof(f494,plain,
( identity != sk_c5
| spl0_19 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f698,plain,
( sk_c5 = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f696,f642]) ).
fof(f642,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c2) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f630,f637]) ).
fof(f637,plain,
( sk_c2 = sk_c3
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f625,f624]) ).
fof(f625,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f203,f618]) ).
fof(f203,plain,
( identity = multiply(sk_c5,sk_c3)
| ~ spl0_1 ),
inference(superposition,[],[f2,f28]) ).
fof(f630,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c3) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f219,f625]) ).
fof(f219,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f207,f2]) ).
fof(f696,plain,
( sk_c2 = multiply(inverse(inverse(sk_c5)),sk_c2)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f207,f643]) ).
fof(f643,plain,
( sk_c2 = multiply(inverse(sk_c5),sk_c2)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f632,f637]) ).
fof(f632,plain,
( sk_c3 = multiply(inverse(sk_c5),sk_c3)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f231,f625]) ).
fof(f231,plain,
( sk_c3 = multiply(inverse(sk_c5),identity)
| ~ spl0_1 ),
inference(superposition,[],[f207,f203]) ).
fof(f662,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f661,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f660,f570]) ).
fof(f660,plain,
( sk_c6 != sk_c5
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f659,f574]) ).
fof(f659,plain,
( sk_c6 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f658,f641]) ).
fof(f641,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f629,f637]) ).
fof(f629,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c3
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f2,f625]) ).
fof(f658,plain,
( ! [X0] : sk_c6 != inverse(multiply(inverse(X0),X0))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f547,f570]) ).
fof(f547,plain,
( ! [X0] :
( sk_c6 != inverse(multiply(inverse(X0),X0))
| sk_c6 != sk_c5 )
| ~ spl0_11 ),
inference(superposition,[],[f471,f207]) ).
fof(f471,plain,
( ! [X0,X1] :
( sk_c5 != multiply(X0,multiply(X1,sk_c6))
| sk_c6 != inverse(multiply(X0,X1)) )
| ~ spl0_11 ),
inference(superposition,[],[f71,f3]) ).
fof(f71,plain,
( ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl0_11
<=> ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f655,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f654,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| spl0_16 ),
inference(subsumption_resolution,[],[f653,f476]) ).
fof(f476,plain,
( sk_c5 != sk_c4
| spl0_16 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f653,plain,
( sk_c5 = sk_c4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f595,f621]) ).
fof(f621,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f605,f618]) ).
fof(f595,plain,
( sk_c4 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f538,f570]) ).
fof(f538,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f532,f234]) ).
fof(f532,plain,
( multiply(sk_c5,sk_c5) = multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f202,f233]) ).
fof(f468,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f467,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f461,f56]) ).
fof(f461,plain,
( sk_c5 != multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f459]) ).
fof(f459,plain,
( sk_c5 != sk_c5
| sk_c5 != multiply(sk_c3,sk_c4)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f61,f28]) ).
fof(f61,plain,
( ! [X5] :
( sk_c5 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_8
<=> ! [X5] :
( sk_c5 != multiply(X5,sk_c4)
| sk_c5 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f458,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f457,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f447,f47]) ).
fof(f447,plain,
( sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl0_3
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f446]) ).
fof(f446,plain,
( sk_c6 != multiply(sk_c2,sk_c5)
| sk_c6 != sk_c6
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f64,f37]) ).
fof(f64,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_9
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f421,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f420,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f395,f115]) ).
fof(f115,plain,
( sk_c5 = multiply(sk_c5,sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f113,f51]) ).
fof(f51,plain,
( multiply(sk_c1,sk_c6) = sk_c5
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_6
<=> multiply(sk_c1,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f113,plain,
( multiply(sk_c1,sk_c6) = multiply(sk_c5,sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f93,f108]) ).
fof(f108,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f96,f51]) ).
fof(f96,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f95,f1]) ).
fof(f95,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f91]) ).
fof(f91,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f32]) ).
fof(f32,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_2
<=> sk_c6 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f93,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f51]) ).
fof(f395,plain,
( sk_c5 != multiply(sk_c5,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[],[f338,f382]) ).
fof(f382,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f381,f239]) ).
fof(f239,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f74,f235]) ).
fof(f235,plain,
( sk_c5 = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f234,f115]) ).
fof(f381,plain,
( sk_c6 = multiply(sk_c5,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f378,f342]) ).
fof(f342,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(backward_demodulation,[],[f47,f339]) ).
fof(f339,plain,
( sk_c1 = sk_c2
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f230,f223]) ).
fof(f223,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl0_2 ),
inference(superposition,[],[f207,f91]) ).
fof(f230,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_3 ),
inference(superposition,[],[f207,f205]) ).
fof(f378,plain,
( multiply(sk_c5,sk_c6) = multiply(sk_c1,sk_c5)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f93,f233]) ).
fof(f338,plain,
( sk_c5 != multiply(sk_c6,sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| spl0_10 ),
inference(forward_demodulation,[],[f68,f235]) ).
fof(f197,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f196]) ).
fof(f196,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f195,f115]) ).
fof(f195,plain,
( sk_c5 != multiply(sk_c5,sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f194]) ).
fof(f194,plain,
( sk_c5 != multiply(sk_c5,sk_c5)
| sk_c5 != sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f193,f161]) ).
fof(f161,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f143,f155]) ).
fof(f155,plain,
( sk_c1 = sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f153,f152]) ).
fof(f152,plain,
( sk_c5 = multiply(sk_c1,sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f104,f149]) ).
fof(f149,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f128,f147]) ).
fof(f147,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f109,f142]) ).
fof(f142,plain,
( sk_c6 = sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f108,f133]) ).
fof(f133,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f130,f132]) ).
fof(f132,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f131,f106]) ).
fof(f106,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c5,X0)) = X0
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f105,f1]) ).
fof(f105,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c5,X0))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f3,f104]) ).
fof(f131,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,multiply(sk_c5,X0))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f93,f129]) ).
fof(f129,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f127,f1]) ).
fof(f127,plain,
( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = multiply(sk_c5,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f3,f109]) ).
fof(f130,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f107,f129]) ).
fof(f107,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f96,f93]) ).
fof(f109,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f96,f104]) ).
fof(f128,plain,
( identity = multiply(sk_c5,identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f126,f104]) ).
fof(f126,plain,
( multiply(sk_c5,identity) = multiply(sk_c1,sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f93,f109]) ).
fof(f104,plain,
( identity = multiply(sk_c1,sk_c5)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f100,f92]) ).
fof(f92,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f2,f42]) ).
fof(f42,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f100,plain,
( multiply(sk_c1,sk_c5) = multiply(sk_c5,sk_c4)
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f93,f67]) ).
fof(f67,plain,
( sk_c5 = multiply(sk_c6,sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f153,plain,
( sk_c1 = multiply(sk_c1,sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f138,f149]) ).
fof(f138,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f99,f132]) ).
fof(f99,plain,
( multiply(sk_c5,sk_c1) = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f93,f91]) ).
fof(f143,plain,
( sk_c5 = inverse(sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f32,f142]) ).
fof(f193,plain,
( ! [X3] :
( sk_c5 != inverse(X3)
| sk_c5 != multiply(X3,sk_c5) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f192,f142]) ).
fof(f192,plain,
( ! [X3] :
( sk_c5 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f71,f142]) ).
fof(f191,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f190]) ).
fof(f190,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f189,f115]) ).
fof(f189,plain,
( sk_c5 != multiply(sk_c5,sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f188]) ).
fof(f188,plain,
( sk_c5 != multiply(sk_c5,sk_c5)
| sk_c5 != sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f187,f161]) ).
fof(f187,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c5 != multiply(X4,sk_c5) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f186,f142]) ).
fof(f186,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c5) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f64,f142]) ).
fof(f185,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f184]) ).
fof(f184,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f183,f115]) ).
fof(f183,plain,
( sk_c5 != multiply(sk_c5,sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f182]) ).
fof(f182,plain,
( sk_c5 != sk_c5
| sk_c5 != multiply(sk_c5,sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f181,f161]) ).
fof(f181,plain,
( ! [X5] :
( sk_c5 != inverse(X5)
| sk_c5 != multiply(X5,sk_c5) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f61,f164]) ).
fof(f164,plain,
( sk_c5 = sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f140,f149]) ).
fof(f140,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10 ),
inference(backward_demodulation,[],[f92,f132]) ).
fof(f174,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f173,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(subsumption_resolution,[],[f172,f142]) ).
fof(f172,plain,
( sk_c6 != sk_c5
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(forward_demodulation,[],[f139,f164]) ).
fof(f139,plain,
( sk_c6 != sk_c4
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(backward_demodulation,[],[f75,f132]) ).
fof(f75,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| spl0_12 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f90,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f17,f40,f26]) ).
fof(f17,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f89,plain,
( spl0_12
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f30,f73]) ).
fof(f9,axiom,
( sk_c6 = inverse(sk_c1)
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f88,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f23,f66,f54]) ).
fof(f23,axiom,
( sk_c5 = multiply(sk_c6,sk_c4)
| sk_c5 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f87,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f14,f73,f40]) ).
fof(f14,axiom,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f86,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f40,f45]) ).
fof(f16,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f85,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f13,f30,f54]) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f84,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f35,f49]) ).
fof(f5,axiom,
( sk_c6 = inverse(sk_c2)
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f83,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f35,f66]) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f82,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f4,f49,f73]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c6) = sk_c5
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f81,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f7,f49,f26]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c6) = sk_c5
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f80,plain,
( spl0_10
| spl0_1 ),
inference(avatar_split_clause,[],[f22,f26,f66]) ).
fof(f22,axiom,
( sk_c5 = inverse(sk_c3)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f79,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f21,f45,f66]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f78,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f49,f54]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c6) = sk_c5
| sk_c5 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f77,plain,
( spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f19,f66,f73]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c6,sk_c4)
| multiply(sk_c5,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f76,plain,
( spl0_8
| spl0_9
| ~ spl0_4
| ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f24,f73,f70,f66,f40,f63,f60]) ).
fof(f24,axiom,
! [X3,X4,X5] :
( multiply(sk_c5,sk_c6) != sk_c4
| sk_c5 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c6 != inverse(X3)
| sk_c5 != inverse(sk_c4)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X5,sk_c4)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != inverse(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f58,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f30,f45]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f57,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f18,f54,f40]) ).
fof(f18,axiom,
( sk_c5 = multiply(sk_c3,sk_c4)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f52,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f49,f45]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f43,plain,
( spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f35,f40]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f38,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f30,f35]) ).
fof(f10,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f33,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f12,f30,f26]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP278-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:20:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.45 % (1768)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.46 % (1768)Instruction limit reached!
% 0.21/0.46 % (1768)------------------------------
% 0.21/0.46 % (1768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.46 % (1768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.46 % (1768)Termination reason: Unknown
% 0.21/0.46 % (1768)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (1768)Memory used [KB]: 5884
% 0.21/0.46 % (1768)Time elapsed: 0.063 s
% 0.21/0.46 % (1768)Instructions burned: 4 (million)
% 0.21/0.46 % (1768)------------------------------
% 0.21/0.46 % (1768)------------------------------
% 0.21/0.47 % (1780)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.47 % (1780)Instruction limit reached!
% 0.21/0.47 % (1780)------------------------------
% 0.21/0.47 % (1780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.47 % (1792)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.47 % (1780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.47 % (1780)Termination reason: Unknown
% 0.21/0.47 % (1780)Termination phase: Equality proxy
% 0.21/0.47
% 0.21/0.47 % (1780)Memory used [KB]: 1279
% 0.21/0.47 % (1780)Time elapsed: 0.002 s
% 0.21/0.47 % (1780)Instructions burned: 2 (million)
% 0.21/0.47 % (1780)------------------------------
% 0.21/0.47 % (1780)------------------------------
% 0.21/0.50 % (1792)First to succeed.
% 0.21/0.50 % (1792)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (1792)------------------------------
% 0.21/0.51 % (1792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (1792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (1792)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (1792)Memory used [KB]: 6140
% 0.21/0.51 % (1792)Time elapsed: 0.099 s
% 0.21/0.51 % (1792)Instructions burned: 25 (million)
% 0.21/0.51 % (1792)------------------------------
% 0.21/0.51 % (1792)------------------------------
% 0.21/0.51 % (1756)Success in time 0.143 s
%------------------------------------------------------------------------------