TSTP Solution File: GRP355-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP355-1 : 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_sat --cores 0 -t %d %s
% Computer : n019.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 16:21:24 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 36
% Syntax : Number of formulae : 129 ( 6 unt; 0 def)
% Number of atoms : 406 ( 159 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 537 ( 260 ~; 260 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f438,plain,
$false,
inference(avatar_sat_refutation,[],[f40,f49,f61,f65,f79,f80,f89,f95,f96,f101,f103,f104,f109,f110,f111,f113,f114,f116,f118,f217,f281,f309,f320,f369,f398,f437]) ).
fof(f437,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f436,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f435,f100]) ).
fof(f100,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl3_15
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f435,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f434,f321]) ).
fof(f321,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl3_11
| ~ spl3_15 ),
inference(forward_demodulation,[],[f316,f100]) ).
fof(f316,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c7)
| ~ spl3_11 ),
inference(superposition,[],[f149,f78]) ).
fof(f78,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl3_11
<=> sk_c7 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f149,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f144,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f144,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
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(f434,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(sk_c2)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16 ),
inference(superposition,[],[f408,f78]) ).
fof(f408,plain,
( ! [X7] :
( sk_c8 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f35,f334]) ).
fof(f334,plain,
( sk_c6 = sk_c8
| ~ spl3_3
| ~ spl3_12
| ~ spl3_16 ),
inference(backward_demodulation,[],[f108,f324]) ).
fof(f324,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl3_3
| ~ spl3_12 ),
inference(forward_demodulation,[],[f322,f44]) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl3_3
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f322,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c5)
| ~ spl3_12 ),
inference(superposition,[],[f149,f84]) ).
fof(f84,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl3_12
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f108,plain,
( sk_c6 = multiply(sk_c8,sk_c5)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl3_16
<=> sk_c6 = multiply(sk_c8,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f35,plain,
( ! [X7] :
( sk_c6 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl3_1
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c6 != multiply(sk_c8,multiply(X7,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f398,plain,
( ~ spl3_3
| spl3_4
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| ~ spl3_3
| spl3_4
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f370,f390]) ).
fof(f390,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl3_3
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16 ),
inference(backward_demodulation,[],[f1,f385]) ).
fof(f385,plain,
( identity = sk_c7
| ~ spl3_3
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16 ),
inference(superposition,[],[f384,f2]) ).
fof(f384,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl3_3
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f366,f382]) ).
fof(f382,plain,
( sk_c7 = sk_c5
| ~ spl3_3
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15 ),
inference(forward_demodulation,[],[f380,f78]) ).
fof(f380,plain,
( multiply(sk_c2,sk_c8) = sk_c5
| ~ spl3_3
| ~ spl3_12
| ~ spl3_15 ),
inference(backward_demodulation,[],[f84,f378]) ).
fof(f378,plain,
( sk_c2 = sk_c4
| ~ spl3_3
| ~ spl3_15 ),
inference(forward_demodulation,[],[f361,f355]) ).
fof(f355,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl3_15 ),
inference(superposition,[],[f149,f349]) ).
fof(f349,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl3_15 ),
inference(superposition,[],[f2,f100]) ).
fof(f361,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl3_3 ),
inference(superposition,[],[f149,f351]) ).
fof(f351,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl3_3 ),
inference(superposition,[],[f2,f44]) ).
fof(f366,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl3_3
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f328,f334]) ).
fof(f328,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c6)
| ~ spl3_16 ),
inference(superposition,[],[f149,f108]) ).
fof(f370,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| ~ spl3_3
| spl3_4
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f47,f334]) ).
fof(f47,plain,
( multiply(sk_c7,sk_c6) != sk_c8
| spl3_4 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl3_4
<=> multiply(sk_c7,sk_c6) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f369,plain,
( spl3_8
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f368,f106,f82,f59,f42,f63]) ).
fof(f63,plain,
( spl3_8
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f59,plain,
( spl3_7
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f368,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) )
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f367,f334]) ).
fof(f367,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c8 != inverse(X5) )
| ~ spl3_3
| ~ spl3_7
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f60,f334]) ).
fof(f60,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f320,plain,
( ~ spl3_8
| ~ spl3_11
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f319,plain,
( $false
| ~ spl3_8
| ~ spl3_11
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f318,f100]) ).
fof(f318,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl3_8
| ~ spl3_11 ),
inference(trivial_inequality_removal,[],[f315]) ).
fof(f315,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c2)
| ~ spl3_8
| ~ spl3_11 ),
inference(superposition,[],[f64,f78]) ).
fof(f64,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f309,plain,
( ~ spl3_8
| ~ spl3_9
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f308,plain,
( $false
| ~ spl3_8
| ~ spl3_9
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f307,f69]) ).
fof(f69,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl3_9
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f307,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl3_8
| ~ spl3_13 ),
inference(trivial_inequality_removal,[],[f303]) ).
fof(f303,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c1)
| ~ spl3_8
| ~ spl3_13 ),
inference(superposition,[],[f64,f88]) ).
fof(f88,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl3_13
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f281,plain,
( spl3_8
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f280,f86,f67,f59,f46,f63]) ).
fof(f280,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f279,f209]) ).
fof(f209,plain,
( sk_c6 = sk_c8
| ~ spl3_4
| ~ spl3_9
| ~ spl3_13 ),
inference(superposition,[],[f208,f48]) ).
fof(f48,plain,
( multiply(sk_c7,sk_c6) = sk_c8
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f208,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl3_9
| ~ spl3_13 ),
inference(backward_demodulation,[],[f1,f197]) ).
fof(f197,plain,
( identity = sk_c7
| ~ spl3_9
| ~ spl3_13 ),
inference(superposition,[],[f167,f2]) ).
fof(f167,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl3_9
| ~ spl3_13 ),
inference(superposition,[],[f149,f152]) ).
fof(f152,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl3_9
| ~ spl3_13 ),
inference(superposition,[],[f150,f88]) ).
fof(f150,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c1,X9)) = X9
| ~ spl3_9 ),
inference(forward_demodulation,[],[f146,f1]) ).
fof(f146,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c1,X9)) = multiply(identity,X9)
| ~ spl3_9 ),
inference(superposition,[],[f3,f119]) ).
fof(f119,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl3_9 ),
inference(superposition,[],[f2,f69]) ).
fof(f279,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) )
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_13 ),
inference(forward_demodulation,[],[f60,f209]) ).
fof(f217,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_9
| ~ spl3_13 ),
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f216,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_9
| ~ spl3_13 ),
inference(subsumption_resolution,[],[f210,f156]) ).
fof(f156,plain,
( sk_c6 != sk_c8
| ~ spl3_1
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f153,f69]) ).
fof(f153,plain,
( sk_c8 != inverse(sk_c1)
| sk_c6 != sk_c8
| ~ spl3_1
| ~ spl3_9 ),
inference(superposition,[],[f35,f150]) ).
fof(f210,plain,
( sk_c6 = sk_c8
| ~ spl3_4
| ~ spl3_9
| ~ spl3_13 ),
inference(superposition,[],[f48,f208]) ).
fof(f118,plain,
( spl3_11
| spl3_13 ),
inference(avatar_split_clause,[],[f11,f86,f76]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f116,plain,
( spl3_16
| spl3_4 ),
inference(avatar_split_clause,[],[f8,f46,f106]) ).
fof(f8,axiom,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c6 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f114,plain,
( spl3_9
| spl3_12 ),
inference(avatar_split_clause,[],[f23,f82,f67]) ).
fof(f23,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f113,plain,
( spl3_15
| spl3_13 ),
inference(avatar_split_clause,[],[f12,f86,f98]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f111,plain,
( spl3_13
| spl3_16 ),
inference(avatar_split_clause,[],[f15,f106,f86]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f110,plain,
( spl3_3
| spl3_9 ),
inference(avatar_split_clause,[],[f24,f67,f42]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f109,plain,
( spl3_16
| spl3_9 ),
inference(avatar_split_clause,[],[f22,f67,f106]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f104,plain,
( spl3_4
| spl3_12 ),
inference(avatar_split_clause,[],[f9,f82,f46]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f103,plain,
( spl3_4
| spl3_15 ),
inference(avatar_split_clause,[],[f5,f98,f46]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c2)
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f101,plain,
( spl3_15
| spl3_9 ),
inference(avatar_split_clause,[],[f19,f67,f98]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f96,plain,
( spl3_13
| spl3_3 ),
inference(avatar_split_clause,[],[f17,f42,f86]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f95,plain,
( spl3_6
| spl3_8 ),
inference(avatar_split_clause,[],[f31,f63,f55]) ).
fof(f55,plain,
( spl3_6
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f31,plain,
! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8)
| sP2 ),
inference(cnf_transformation,[],[f31_D]) ).
fof(f31_D,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f89,plain,
( spl3_12
| spl3_13 ),
inference(avatar_split_clause,[],[f16,f86,f82]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f80,plain,
( spl3_4
| spl3_11 ),
inference(avatar_split_clause,[],[f4,f76,f46]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c2,sk_c8)
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f79,plain,
( spl3_9
| spl3_11 ),
inference(avatar_split_clause,[],[f18,f76,f67]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f65,plain,
( spl3_5
| spl3_8 ),
inference(avatar_split_clause,[],[f27,f63,f51]) ).
fof(f51,plain,
( spl3_5
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f27,plain,
! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sP0 ),
inference(cnf_transformation,[],[f27_D]) ).
fof(f27_D,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f61,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_4
| ~ spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f32,f59,f55,f46,f51,f37]) ).
fof(f37,plain,
( spl3_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f32,plain,
! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| ~ sP2
| multiply(sk_c7,sk_c6) != sk_c8
| sk_c6 != inverse(X5)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f30,f31_D]) ).
fof(f30,plain,
! [X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| multiply(sk_c7,sk_c6) != sk_c8
| sk_c7 != multiply(X5,sk_c6)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f28,f29_D]) ).
fof(f29,plain,
! [X7] :
( sP1
| sk_c8 != inverse(X7)
| sk_c6 != multiply(sk_c8,multiply(X7,sk_c8)) ),
inference(cnf_transformation,[],[f29_D]) ).
fof(f29_D,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c6 != multiply(sk_c8,multiply(X7,sk_c8)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f28,plain,
! [X7,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| multiply(sk_c7,sk_c6) != sk_c8
| sk_c6 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c7 != multiply(X5,sk_c6)
| sk_c8 != inverse(X7)
| ~ sP0 ),
inference(general_splitting,[],[f26,f27_D]) ).
fof(f26,plain,
! [X3,X7,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X4,sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X4)
| multiply(sk_c7,sk_c6) != sk_c8
| sk_c6 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c7 != multiply(X5,sk_c6)
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X3) ),
inference(equality_resolution,[],[f25]) ).
fof(f25,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X4,sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X4)
| multiply(sk_c7,sk_c6) != sk_c8
| sk_c6 != multiply(sk_c8,X6)
| multiply(X7,sk_c8) != X6
| sk_c7 != multiply(X5,sk_c6)
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f49,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f10,f46,f42]) ).
fof(f10,axiom,
( multiply(sk_c7,sk_c6) = sk_c8
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f40,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f29,f37,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP355-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:28:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (5075)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (5070)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (5084)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (5073)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (5076)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (5071)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 % (5094)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51 % (5083)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (5078)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (5091)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (5068)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (5069)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (5079)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (5067)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (5066)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53 % (5074)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (5088)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 % (5077)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (5074)Instruction limit reached!
% 0.20/0.53 % (5074)------------------------------
% 0.20/0.53 % (5074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5074)Termination reason: Unknown
% 0.20/0.53 % (5074)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (5074)Memory used [KB]: 5500
% 0.20/0.53 % (5074)Time elapsed: 0.137 s
% 0.20/0.53 % (5074)Instructions burned: 3 (million)
% 0.20/0.53 % (5074)------------------------------
% 0.20/0.53 % (5074)------------------------------
% 0.20/0.53 % (5080)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (5092)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (5071)First to succeed.
% 0.20/0.53 % (5089)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (5087)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (5095)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (5073)Instruction limit reached!
% 0.20/0.53 % (5073)------------------------------
% 0.20/0.53 % (5073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5073)Termination reason: Unknown
% 0.20/0.53 % (5073)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (5073)Memory used [KB]: 5628
% 0.20/0.53 % (5073)Time elapsed: 0.120 s
% 0.20/0.53 % (5073)Instructions burned: 8 (million)
% 0.20/0.53 % (5073)------------------------------
% 0.20/0.53 % (5073)------------------------------
% 0.20/0.53 % (5072)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (5090)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (5081)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (5086)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54 % (5085)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (5071)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (5071)------------------------------
% 0.20/0.54 % (5071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5071)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (5071)Memory used [KB]: 5628
% 0.20/0.54 % (5071)Time elapsed: 0.126 s
% 0.20/0.54 % (5071)Instructions burned: 16 (million)
% 0.20/0.54 % (5071)------------------------------
% 0.20/0.54 % (5071)------------------------------
% 0.20/0.54 % (5065)Success in time 0.192 s
%------------------------------------------------------------------------------