TSTP Solution File: GRP517-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP517-1 : 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 : n017.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 12:07:25 EDT 2024
% Result : Unsatisfiable 0.18s 0.39s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 85 ( 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f783,plain,
$false,
inference(equality_resolution,[],[f764]) ).
fof(f764,plain,
! [X0,X1] : multiply(X0,inverse(X0)) != multiply(X1,inverse(X1)),
inference(superposition,[],[f674,f323]) ).
fof(f323,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(X1,inverse(X1)),
inference(superposition,[],[f109,f276]) ).
fof(f276,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(forward_demodulation,[],[f261,f94]) ).
fof(f94,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f90,f74]) ).
fof(f74,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(superposition,[],[f36,f11]) ).
fof(f11,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(inverse(X2),X3),multiply(multiply(inverse(multiply(X0,X1)),X2),X1))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f36,plain,
! [X2,X3,X0] : multiply(X2,multiply(X0,X3)) = multiply(multiply(X2,X0),X3),
inference(forward_demodulation,[],[f26,f18]) ).
fof(f18,plain,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1) = multiply(X2,X0),
inference(superposition,[],[f11,f1]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X0,X3)) = multiply(multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1),X3),
inference(superposition,[],[f24,f1]) ).
fof(f24,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(multiply(inverse(X1),X2),multiply(X1,X0)),
inference(backward_demodulation,[],[f22,f23]) ).
fof(f23,plain,
! [X2,X3,X0,X4] : multiply(X3,multiply(X2,multiply(multiply(inverse(multiply(X3,X4)),X0),X4))) = multiply(X2,X0),
inference(backward_demodulation,[],[f5,f18]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1) = multiply(X3,multiply(X2,multiply(multiply(inverse(multiply(X3,X4)),X0),X4))),
inference(superposition,[],[f3,f1]) ).
fof(f22,plain,
! [X2,X0,X1,X4,X5] : multiply(X4,multiply(X2,multiply(multiply(inverse(multiply(X4,X5)),X0),X5))) = multiply(multiply(inverse(X1),X2),multiply(X1,X0)),
inference(backward_demodulation,[],[f6,f18]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X1),X2),multiply(multiply(inverse(multiply(inverse(X0),X3)),X1),X3)) = multiply(X4,multiply(X2,multiply(multiply(inverse(multiply(X4,X5)),X0),X5))),
inference(superposition,[],[f3,f3]) ).
fof(f90,plain,
! [X3,X0] : multiply(X0,multiply(inverse(X0),X3)) = X3,
inference(backward_demodulation,[],[f49,f83]) ).
fof(f83,plain,
! [X2,X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(multiply(X0,X2)),multiply(X1,X2)),
inference(superposition,[],[f74,f24]) ).
fof(f49,plain,
! [X3,X0,X1] : multiply(X0,multiply(inverse(multiply(X0,X1)),multiply(X3,X1))) = X3,
inference(forward_demodulation,[],[f40,f16]) ).
fof(f16,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X3,X1)) = multiply(multiply(inverse(X2),X3),multiply(X0,multiply(X2,X1))),
inference(forward_demodulation,[],[f12,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3),X2) = multiply(X0,multiply(X3,X1)),
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X3,X1)) = multiply(multiply(inverse(X2),X3),multiply(multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),X2),X4)),
inference(superposition,[],[f1,f3]) ).
fof(f40,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(inverse(X2),X3),multiply(inverse(multiply(X0,X1)),multiply(X2,X1)))) = X3,
inference(backward_demodulation,[],[f3,f36]) ).
fof(f261,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[],[f122,f36]) ).
fof(f122,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f11,f94]) ).
fof(f109,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[],[f90,f96]) ).
fof(f96,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f90,f74]) ).
fof(f674,plain,
! [X0] : multiply(inverse(a1),a1) != multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f323]) ).
fof(f2,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP517-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 03:59:03 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (20959)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.36 % (20962)WARNING: value z3 for option sas not known
% 0.18/0.36 % (20961)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.36 % (20963)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.36 % (20965)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)
% 0.18/0.36 % (20966)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)
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 % (20964)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)
% 0.18/0.36 % (20962)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)
% 0.18/0.36 TRYING [3]
% 0.18/0.37 % (20960)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.37 TRYING [1]
% 0.18/0.37 TRYING [2]
% 0.18/0.37 TRYING [4]
% 0.18/0.37 TRYING [3]
% 0.18/0.38 TRYING [4]
% 0.18/0.39 % (20965)First to succeed.
% 0.18/0.39 TRYING [5]
% 0.18/0.39 % (20965)Refutation found. Thanks to Tanya!
% 0.18/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.39 % (20965)------------------------------
% 0.18/0.39 % (20965)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.39 % (20965)Termination reason: Refutation
% 0.18/0.39
% 0.18/0.39 % (20965)Memory used [KB]: 1222
% 0.18/0.39 % (20965)Time elapsed: 0.032 s
% 0.18/0.39 % (20965)Instructions burned: 62 (million)
% 0.18/0.39 % (20965)------------------------------
% 0.18/0.39 % (20965)------------------------------
% 0.18/0.39 % (20959)Success in time 0.045 s
%------------------------------------------------------------------------------