TSTP Solution File: RNG023-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG023-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Sun May 5 08:55:13 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 19
% Syntax : Number of formulae : 37 ( 20 unt; 0 def)
% Number of atoms : 56 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 12 ~; 10 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f28,f32,f36,f40,f44,f48,f52,f56,f65]) ).
fof(f65,plain,
( spl0_2
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f63]) ).
fof(f63,plain,
( additive_identity != additive_identity
| spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f27,f55]) ).
fof(f55,plain,
( ! [X0] : additive_identity = add(X0,additive_inverse(X0))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl0_9
<=> ! [X0] : additive_identity = add(X0,additive_inverse(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f27,plain,
( additive_identity != add(multiply(x,multiply(x,y)),additive_inverse(multiply(x,multiply(x,y))))
| spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl0_2
<=> additive_identity = add(multiply(x,multiply(x,y)),additive_inverse(multiply(x,multiply(x,y)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f56,plain,
spl0_9,
inference(avatar_split_clause,[],[f6,f54]) ).
fof(f6,axiom,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f52,plain,
spl0_8,
inference(avatar_split_clause,[],[f5,f50]) ).
fof(f50,plain,
( spl0_8
<=> ! [X0] : additive_identity = add(additive_inverse(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f5,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_inverse) ).
fof(f48,plain,
spl0_7,
inference(avatar_split_clause,[],[f7,f46]) ).
fof(f46,plain,
( spl0_7
<=> ! [X0] : additive_inverse(additive_inverse(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f7,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f44,plain,
spl0_6,
inference(avatar_split_clause,[],[f4,f42]) ).
fof(f42,plain,
( spl0_6
<=> ! [X0] : additive_identity = multiply(X0,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f4,axiom,
! [X0] : additive_identity = multiply(X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_multiplicative_zero) ).
fof(f40,plain,
spl0_5,
inference(avatar_split_clause,[],[f3,f38]) ).
fof(f38,plain,
( spl0_5
<=> ! [X0] : additive_identity = multiply(additive_identity,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f3,axiom,
! [X0] : additive_identity = multiply(additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_multiplicative_zero) ).
fof(f36,plain,
spl0_4,
inference(avatar_split_clause,[],[f2,f34]) ).
fof(f34,plain,
( spl0_4
<=> ! [X0] : add(X0,additive_identity) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_identity) ).
fof(f32,plain,
spl0_3,
inference(avatar_split_clause,[],[f1,f30]) ).
fof(f30,plain,
( spl0_3
<=> ! [X0] : add(additive_identity,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f28,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f23,f19,f25]) ).
fof(f19,plain,
( spl0_1
<=> additive_identity = add(multiply(multiply(x,x),y),additive_inverse(multiply(x,multiply(x,y)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f23,plain,
( additive_identity != add(multiply(x,multiply(x,y)),additive_inverse(multiply(x,multiply(x,y))))
| spl0_1 ),
inference(forward_demodulation,[],[f21,f13]) ).
fof(f13,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_alternative) ).
fof(f21,plain,
( additive_identity != add(multiply(multiply(x,x),y),additive_inverse(multiply(x,multiply(x,y))))
| spl0_1 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f22,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f17,f19]) ).
fof(f17,plain,
additive_identity != add(multiply(multiply(x,x),y),additive_inverse(multiply(x,multiply(x,y)))),
inference(definition_unfolding,[],[f16,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associator) ).
fof(f16,axiom,
additive_identity != associator(x,x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_alternative) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG023-6 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.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 : Fri May 3 18:18:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (11931)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (11934)WARNING: value z3 for option sas not known
% 0.14/0.37 % (11933)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (11934)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (11935)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (11932)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (11936)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (11937)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (11938)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (11936)First to succeed.
% 0.14/0.37 % (11936)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11931"
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (11936)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (11936)------------------------------
% 0.14/0.38 % (11936)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (11936)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (11936)Memory used [KB]: 777
% 0.14/0.38 % (11936)Time elapsed: 0.005 s
% 0.14/0.38 % (11936)Instructions burned: 4 (million)
% 0.14/0.38 % (11931)Success in time 0.01 s
%------------------------------------------------------------------------------