TSTP Solution File: RNG024-7 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG024-7 : 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 : n006.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 : Tue Apr 30 14:50:19 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% 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(f75,plain,
$false,
inference(avatar_sat_refutation,[],[f31,f37,f41,f45,f49,f53,f57,f61,f65,f74]) ).
fof(f74,plain,
( spl0_2
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f73,plain,
( $false
| spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f72]) ).
fof(f72,plain,
( additive_identity != additive_identity
| spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f36,f64]) ).
fof(f64,plain,
( ! [X0] : additive_identity = add(X0,additive_inverse(X0))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_9
<=> ! [X0] : additive_identity = add(X0,additive_inverse(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f36,plain,
( additive_identity != add(multiply(x,multiply(y,y)),additive_inverse(multiply(x,multiply(y,y))))
| spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_2
<=> additive_identity = add(multiply(x,multiply(y,y)),additive_inverse(multiply(x,multiply(y,y)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f65,plain,
spl0_9,
inference(avatar_split_clause,[],[f6,f63]) ).
fof(f6,axiom,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f61,plain,
spl0_8,
inference(avatar_split_clause,[],[f5,f59]) ).
fof(f59,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(f57,plain,
spl0_7,
inference(avatar_split_clause,[],[f7,f55]) ).
fof(f55,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(f53,plain,
spl0_6,
inference(avatar_split_clause,[],[f4,f51]) ).
fof(f51,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(f49,plain,
spl0_5,
inference(avatar_split_clause,[],[f3,f47]) ).
fof(f47,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(f45,plain,
spl0_4,
inference(avatar_split_clause,[],[f2,f43]) ).
fof(f43,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(f41,plain,
spl0_3,
inference(avatar_split_clause,[],[f1,f39]) ).
fof(f39,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(f37,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f32,f28,f34]) ).
fof(f28,plain,
( spl0_1
<=> additive_identity = add(multiply(multiply(x,y),y),additive_inverse(multiply(x,multiply(y,y)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f32,plain,
( additive_identity != add(multiply(x,multiply(y,y)),additive_inverse(multiply(x,multiply(y,y))))
| spl0_1 ),
inference(forward_demodulation,[],[f30,f12]) ).
fof(f12,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_alternative) ).
fof(f30,plain,
( additive_identity != add(multiply(multiply(x,y),y),additive_inverse(multiply(x,multiply(y,y))))
| spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f31,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f24,f28]) ).
fof(f24,plain,
additive_identity != add(multiply(multiply(x,y),y),additive_inverse(multiply(x,multiply(y,y)))),
inference(definition_unfolding,[],[f23,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(f23,axiom,
additive_identity != associator(x,y,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_alternative) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG024-7 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 02:03:35 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (18125)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (18128)WARNING: value z3 for option sas not known
% 0.15/0.37 % (18126)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (18129)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (18127)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (18130)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)
% 0.15/0.37 % (18128)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)
% 0.15/0.37 % (18131)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)
% 0.15/0.38 % (18130)First to succeed.
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (18132)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)
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (18130)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (18130)------------------------------
% 0.15/0.38 % (18130)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (18130)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (18130)Memory used [KB]: 780
% 0.15/0.38 % (18130)Time elapsed: 0.005 s
% 0.15/0.38 % (18130)Instructions burned: 5 (million)
% 0.15/0.38 % (18130)------------------------------
% 0.15/0.38 % (18130)------------------------------
% 0.15/0.38 % (18125)Success in time 0.01 s
%------------------------------------------------------------------------------