TSTP Solution File: GRP091-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP091-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 11:51:31 EDT 2024
% Result : Unsatisfiable 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 64 ( 55 unt; 0 def)
% Number of atoms : 83 ( 82 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 30 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 104 ( 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2781,plain,
$false,
inference(trivial_inequality_removal,[],[f2780]) ).
fof(f2780,plain,
multiply(a4,b4) != multiply(a4,b4),
inference(superposition,[],[f2746,f160]) ).
fof(f160,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f156,f58]) ).
fof(f58,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f57,f8]) ).
fof(f8,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f7,f6]) ).
fof(f6,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(forward_demodulation,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f3,axiom,
! [X2,X0] : inverse(X0) = divide(divide(X2,X2),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f57,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(forward_demodulation,[],[f43,f6]) ).
fof(f43,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X0) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,divide(divide(X0,X1),X2)),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f156,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f150,f86]) ).
fof(f86,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = divide(X1,X0),
inference(backward_demodulation,[],[f24,f78]) ).
fof(f78,plain,
! [X0] : multiply(identity,X0) = X0,
inference(superposition,[],[f67,f8]) ).
fof(f67,plain,
! [X0] : divide(identity,inverse(X0)) = X0,
inference(superposition,[],[f58,f12]) ).
fof(f12,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(superposition,[],[f8,f4]) ).
fof(f24,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = divide(X1,multiply(identity,X0)),
inference(superposition,[],[f8,f13]) ).
fof(f13,plain,
! [X0] : inverse(inverse(X0)) = multiply(identity,X0),
inference(superposition,[],[f8,f6]) ).
fof(f150,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[],[f135,f8]) ).
fof(f135,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(superposition,[],[f118,f58]) ).
fof(f118,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f112,f102]) ).
fof(f102,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[],[f11,f92]) ).
fof(f92,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f71,f78]) ).
fof(f71,plain,
! [X0] : multiply(multiply(identity,X0),identity) = X0,
inference(superposition,[],[f58,f11]) ).
fof(f11,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f8,f9]) ).
fof(f9,plain,
identity = inverse(identity),
inference(superposition,[],[f6,f4]) ).
fof(f112,plain,
! [X0,X1] : divide(X0,divide(divide(X0,identity),X1)) = X1,
inference(superposition,[],[f102,f1]) ).
fof(f2746,plain,
multiply(a4,b4) != multiply(b4,a4),
inference(trivial_inequality_removal,[],[f2745]) ).
fof(f2745,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f2674,f160]) ).
fof(f2674,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(superposition,[],[f95,f1274]) ).
fof(f1274,plain,
! [X2,X0,X1] : multiply(multiply(X0,X2),X1) = multiply(X0,multiply(X1,X2)),
inference(backward_demodulation,[],[f995,f1273]) ).
fof(f1273,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f1245,f1212]) ).
fof(f1212,plain,
! [X2,X0,X1] : divide(X2,divide(inverse(X1),X0)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[],[f1176,f997]) ).
fof(f997,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X1,X0),X2),
inference(superposition,[],[f511,f135]) ).
fof(f511,plain,
! [X2,X0,X1] : multiply(multiply(X0,divide(X2,multiply(X0,X1))),X1) = X2,
inference(backward_demodulation,[],[f63,f496]) ).
fof(f496,plain,
! [X2,X0,X1] : multiply(X2,divide(X0,X1)) = divide(X2,divide(X1,X0)),
inference(superposition,[],[f8,f319]) ).
fof(f319,plain,
! [X0,X1] : divide(X1,X0) = inverse(divide(X0,X1)),
inference(superposition,[],[f135,f295]) ).
fof(f295,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(forward_demodulation,[],[f283,f83]) ).
fof(f83,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f13,f78]) ).
fof(f283,plain,
! [X0,X1] : multiply(inverse(divide(inverse(inverse(X0)),X1)),X0) = X1,
inference(superposition,[],[f59,f8]) ).
fof(f59,plain,
! [X0,X1] : divide(inverse(divide(inverse(X0),X1)),X0) = X1,
inference(forward_demodulation,[],[f44,f6]) ).
fof(f44,plain,
! [X0,X1] : divide(divide(identity,divide(inverse(X0),X1)),X0) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f63,plain,
! [X2,X0,X1] : multiply(divide(X0,divide(multiply(X0,X1),X2)),X1) = X2,
inference(forward_demodulation,[],[f53,f8]) ).
fof(f53,plain,
! [X2,X0,X1] : multiply(divide(X0,divide(divide(X0,inverse(X1)),X2)),X1) = X2,
inference(superposition,[],[f1,f8]) ).
fof(f1176,plain,
! [X2,X0,X1] : divide(X2,divide(inverse(X1),X0)) = multiply(multiply(X0,X1),X2),
inference(superposition,[],[f270,f366]) ).
fof(f366,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = divide(inverse(X1),X0),
inference(superposition,[],[f243,f137]) ).
fof(f137,plain,
! [X0,X1] : inverse(X1) = divide(X0,multiply(X0,X1)),
inference(superposition,[],[f118,f8]) ).
fof(f243,plain,
! [X0,X1] : inverse(X1) = divide(divide(X0,X1),X0),
inference(superposition,[],[f58,f86]) ).
fof(f270,plain,
! [X0,X1] : multiply(X0,X1) = divide(X1,inverse(X0)),
inference(superposition,[],[f135,f207]) ).
fof(f207,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(superposition,[],[f70,f83]) ).
fof(f70,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f58,f8]) ).
fof(f1245,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = divide(X2,divide(inverse(X0),X1)),
inference(superposition,[],[f270,f384]) ).
fof(f384,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X0,X1)),
inference(superposition,[],[f271,f207]) ).
fof(f271,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(superposition,[],[f58,f207]) ).
fof(f995,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(superposition,[],[f511,f58]) ).
fof(f95,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(trivial_inequality_removal,[],[f94]) ).
fof(f94,plain,
( a2 != a2
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f19,f78]) ).
fof(f19,plain,
( a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(trivial_inequality_removal,[],[f18]) ).
fof(f18,plain,
( identity != identity
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f17,f12]) ).
fof(f17,plain,
( identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f16,f12]) ).
fof(f16,plain,
( a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f5,f12]) ).
fof(f5,axiom,
( multiply(a4,b4) != multiply(b4,a4)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP091-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 04:24:20 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (2464)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (2465)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (2469)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)
% 0.13/0.38 % (2467)WARNING: value z3 for option sas not known
% 0.13/0.38 % (2466)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (2468)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (2467)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)
% 0.13/0.38 % (2470)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)
% 0.13/0.38 % (2471)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)
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.13/0.40 TRYING [4]
% 0.13/0.42 TRYING [5]
% 0.20/0.42 TRYING [4]
% 0.20/0.46 TRYING [6]
% 0.20/0.46 % (2470)First to succeed.
% 0.20/0.47 % (2470)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (2470)------------------------------
% 0.20/0.47 % (2470)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.47 % (2470)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (2470)Memory used [KB]: 1723
% 0.20/0.47 % (2470)Time elapsed: 0.083 s
% 0.20/0.47 % (2470)Instructions burned: 138 (million)
% 0.20/0.47 % (2470)------------------------------
% 0.20/0.47 % (2470)------------------------------
% 0.20/0.47 % (2464)Success in time 0.111 s
%------------------------------------------------------------------------------