TSTP Solution File: GRP529-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP529-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 06:09:22 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f466,plain,
$false,
inference(subsumption_resolution,[],[f439,f392]) ).
fof(f392,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(X1,inverse(X1)),
inference(superposition,[],[f366,f8]) ).
fof(f8,plain,
! [X0,X1] : inverse(X1) = divide(multiply(inverse(X0),X0),X1),
inference(superposition,[],[f3,f5]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f366,plain,
! [X0,X1] : multiply(X1,divide(X0,X1)) = X0,
inference(superposition,[],[f330,f155]) ).
fof(f155,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(superposition,[],[f144,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,divide(X1,X2)),divide(X0,X1)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f144,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(forward_demodulation,[],[f132,f96]) ).
fof(f96,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f69,f3]) ).
fof(f69,plain,
! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f132,plain,
! [X0,X1] : divide(inverse(inverse(X1)),divide(X0,X0)) = X1,
inference(superposition,[],[f128,f7]) ).
fof(f7,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(divide(X0,X0),X1),
inference(superposition,[],[f5,f3]) ).
fof(f128,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f113,f96]) ).
fof(f113,plain,
! [X0,X1] : inverse(inverse(X1)) = divide(multiply(X0,X1),X0),
inference(superposition,[],[f106,f5]) ).
fof(f106,plain,
! [X0,X1] : inverse(X1) = divide(divide(X0,X1),X0),
inference(superposition,[],[f96,f69]) ).
fof(f330,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f317,f111]) ).
fof(f111,plain,
! [X0,X1] : divide(X1,X0) = multiply(X1,inverse(X0)),
inference(superposition,[],[f5,f96]) ).
fof(f317,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[],[f194,f5]) ).
fof(f194,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(superposition,[],[f155,f128]) ).
fof(f439,plain,
multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference(superposition,[],[f4,f373]) ).
fof(f373,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f330,f128]) ).
fof(f4,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP529-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n019.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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:42:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (4009)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (4012)WARNING: value z3 for option sas not known
% 0.15/0.38 % (4010)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (4013)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (4012)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)
% 0.15/0.38 % (4016)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 % (4014)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)
% 0.15/0.38 % (4015)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 % (4011)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (4016)First to succeed.
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (4016)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4009"
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (4016)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (4016)------------------------------
% 0.15/0.39 % (4016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (4016)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (4016)Memory used [KB]: 852
% 0.15/0.39 % (4016)Time elapsed: 0.013 s
% 0.15/0.39 % (4016)Instructions burned: 20 (million)
% 0.15/0.39 % (4009)Success in time 0.029 s
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