TSTP Solution File: GRP598-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP598-1 : 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 : 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 : Tue Apr 30 12:07:41 EDT 2024
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1159,plain,
$false,
inference(trivial_inequality_removal,[],[f1130]) ).
fof(f1130,plain,
a2 != a2,
inference(superposition,[],[f3,f583]) ).
fof(f583,plain,
! [X0,X1] : multiply(multiply(inverse(X1),X1),X0) = X0,
inference(superposition,[],[f449,f536]) ).
fof(f536,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f522,f233]) ).
fof(f233,plain,
! [X0,X1] : double_divide(double_divide(inverse(X1),inverse(inverse(X0))),inverse(X1)) = X0,
inference(superposition,[],[f152,f148]) ).
fof(f148,plain,
! [X3,X1] : inverse(X1) = multiply(multiply(inverse(X3),inverse(X1)),X3),
inference(forward_demodulation,[],[f123,f5]) ).
fof(f5,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0)) = X2,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f4,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),multiply(inverse(double_divide(inverse(X2),X1)),X0)) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f123,plain,
! [X2,X3,X0,X1] : inverse(X1) = multiply(multiply(inverse(X3),double_divide(double_divide(X2,X0),multiply(multiply(X0,inverse(inverse(X1))),X2))),X3),
inference(superposition,[],[f11,f11]) ).
fof(f11,plain,
! [X2,X3,X0,X1] : inverse(X3) = multiply(multiply(multiply(multiply(multiply(X1,inverse(X2)),X0),inverse(X3)),double_divide(X0,X1)),X2),
inference(superposition,[],[f8,f5]) ).
fof(f8,plain,
! [X2,X0,X1] : inverse(X2) = multiply(multiply(multiply(X1,inverse(X2)),X0),double_divide(X0,X1)),
inference(superposition,[],[f2,f5]) ).
fof(f152,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2))) = X2,
inference(superposition,[],[f149,f2]) ).
fof(f149,plain,
! [X3,X1] : double_divide(X3,multiply(inverse(X3),inverse(X1))) = X1,
inference(forward_demodulation,[],[f130,f5]) ).
fof(f130,plain,
! [X2,X3,X0,X1] : double_divide(X3,multiply(inverse(X3),double_divide(double_divide(X2,X0),multiply(multiply(X0,inverse(inverse(X1))),X2)))) = X1,
inference(superposition,[],[f6,f11]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(X2,multiply(multiply(multiply(multiply(X1,inverse(X2)),X0),inverse(X3)),double_divide(X0,X1))) = X3,
inference(superposition,[],[f5,f5]) ).
fof(f522,plain,
! [X2,X1] : double_divide(double_divide(X2,inverse(X1)),inverse(X1)) = X2,
inference(forward_demodulation,[],[f505,f400]) ).
fof(f400,plain,
! [X0,X1] : double_divide(inverse(X1),multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f195,f152]) ).
fof(f195,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(double_divide(X2,inverse(X2)),multiply(X1,X0)),
inference(superposition,[],[f172,f2]) ).
fof(f172,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = X1,
inference(superposition,[],[f5,f148]) ).
fof(f505,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X2),multiply(inverse(X0),X0)),inverse(X1)),inverse(X1)) = X2,
inference(superposition,[],[f12,f449]) ).
fof(f12,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X2),X0),multiply(X0,inverse(X1))),inverse(X1)) = X2,
inference(superposition,[],[f5,f8]) ).
fof(f449,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X1),X1),inverse(X0)),
inference(superposition,[],[f2,f400]) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP598-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Apr 30 04:28:18 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (20733)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (20736)WARNING: value z3 for option sas not known
% 0.14/0.38 % (20740)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)
% 0.14/0.38 % (20737)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (20736)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)
% 0.14/0.38 % (20735)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (20739)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (20738)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)
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (20734)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.21/0.42 % (20736)First to succeed.
% 0.21/0.42 % (20736)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (20736)------------------------------
% 0.21/0.42 % (20736)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.42 % (20736)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (20736)Memory used [KB]: 1542
% 0.21/0.42 % (20736)Time elapsed: 0.037 s
% 0.21/0.42 % (20736)Instructions burned: 81 (million)
% 0.21/0.42 % (20736)------------------------------
% 0.21/0.42 % (20736)------------------------------
% 0.21/0.42 % (20733)Success in time 0.051 s
%------------------------------------------------------------------------------