TSTP Solution File: GRP708-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP708-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 12:08:43 EDT 2024
% Result : Unsatisfiable 3.59s 0.85s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10876,plain,
$false,
inference(trivial_inequality_removal,[],[f10790]) ).
fof(f10790,plain,
mult(op_c,mult(a,b)) != mult(op_c,mult(a,b)),
inference(superposition,[],[f37,f7583]) ).
fof(f7583,plain,
! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(op_c,mult(X0,X1)),
inference(superposition,[],[f7140,f2]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f7140,plain,
! [X0,X1] : mult(op_c,X1) = mult(X0,mult(op_c,ld(X0,X1))),
inference(forward_demodulation,[],[f7046,f32]) ).
fof(f32,plain,
! [X0] : rd(mult(op_c,X0),op_c) = X0,
inference(superposition,[],[f4,f8]) ).
fof(f8,axiom,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f7046,plain,
! [X0,X1] : mult(X0,mult(op_c,ld(X0,X1))) = rd(mult(op_c,mult(op_c,X1)),op_c),
inference(superposition,[],[f32,f285]) ).
fof(f285,plain,
! [X0,X1] : mult(op_c,mult(X0,mult(op_c,ld(X0,X1)))) = mult(op_c,mult(op_c,X1)),
inference(forward_demodulation,[],[f264,f93]) ).
fof(f93,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(forward_demodulation,[],[f76,f6]) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f76,plain,
! [X0,X1] : mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[],[f7,f6]) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f264,plain,
! [X0,X1] : mult(op_c,mult(X0,mult(op_c,ld(X0,X1)))) = mult(mult(op_c,op_c),X1),
inference(superposition,[],[f95,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f95,plain,
! [X0,X1] : mult(mult(op_c,op_c),mult(X0,X1)) = mult(op_c,mult(X0,mult(op_c,X1))),
inference(forward_demodulation,[],[f94,f73]) ).
fof(f73,plain,
! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1),
inference(superposition,[],[f7,f8]) ).
fof(f94,plain,
! [X0,X1] : mult(mult(op_c,op_c),mult(X0,X1)) = mult(mult(op_c,mult(op_c,X0)),X1),
inference(backward_demodulation,[],[f9,f93]) ).
fof(f9,axiom,
! [X0,X1] : mult(mult(op_c,op_c),mult(X0,X1)) = mult(mult(mult(op_c,op_c),X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
fof(f37,plain,
mult(op_c,mult(a,b)) != mult(a,mult(op_c,b)),
inference(forward_demodulation,[],[f34,f8]) ).
fof(f34,plain,
mult(a,mult(b,op_c)) != mult(op_c,mult(a,b)),
inference(superposition,[],[f10,f8]) ).
fof(f10,axiom,
mult(a,mult(b,op_c)) != mult(mult(a,b),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP708-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n013.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 04:18:49 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (31983)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (31987)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (31984)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 TRYING [3]
% 0.15/0.37 % (31985)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 TRYING [1]
% 0.15/0.37 TRYING [4]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (31989)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)
% 0.22/0.38 % (31986)WARNING: value z3 for option sas not known
% 0.22/0.38 % (31988)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)
% 0.22/0.38 % (31990)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)
% 0.22/0.38 % (31986)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)
% 0.22/0.38 TRYING [3]
% 0.22/0.40 TRYING [5]
% 0.22/0.41 TRYING [4]
% 0.22/0.44 TRYING [6]
% 0.22/0.49 TRYING [5]
% 0.22/0.52 TRYING [7]
% 2.06/0.66 TRYING [1]
% 2.06/0.66 TRYING [2]
% 2.06/0.67 TRYING [3]
% 2.06/0.67 TRYING [4]
% 2.06/0.67 TRYING [8]
% 2.41/0.69 TRYING [6]
% 2.41/0.69 TRYING [5]
% 2.89/0.75 TRYING [6]
% 3.37/0.84 % (31989)First to succeed.
% 3.59/0.85 % (31989)Refutation found. Thanks to Tanya!
% 3.59/0.85 % SZS status Unsatisfiable for theBenchmark
% 3.59/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/0.85 % (31989)------------------------------
% 3.59/0.85 % (31989)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.59/0.85 % (31989)Termination reason: Refutation
% 3.59/0.85
% 3.59/0.85 % (31989)Memory used [KB]: 5765
% 3.59/0.85 % (31989)Time elapsed: 0.471 s
% 3.59/0.85 % (31989)Instructions burned: 861 (million)
% 3.59/0.85 % (31989)------------------------------
% 3.59/0.85 % (31989)------------------------------
% 3.59/0.85 % (31983)Success in time 0.495 s
%------------------------------------------------------------------------------