TSTP Solution File: CAT002-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CAT002-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 04:43:42 EDT 2024
% Result : Unsatisfiable 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2378,plain,
$false,
inference(trivial_inequality_removal,[],[f2377]) ).
fof(f2377,plain,
h != h,
inference(superposition,[],[f23,f2355]) ).
fof(f2355,plain,
h = g,
inference(equality_resolution,[],[f2326]) ).
fof(f2326,plain,
! [X0] :
( compose(b,X0) != compose(b,h)
| g = X0 ),
inference(superposition,[],[f24,f2296]) ).
fof(f2296,plain,
compose(b,g) = compose(b,h),
inference(equality_resolution,[],[f161]) ).
fof(f161,plain,
! [X0] :
( compose(a,X0) != compose(a,compose(b,h))
| compose(b,g) = X0 ),
inference(superposition,[],[f25,f30]) ).
fof(f30,plain,
compose(a,compose(b,g)) = compose(a,compose(b,h)),
inference(forward_demodulation,[],[f29,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_compose) ).
fof(f29,plain,
compose(compose(a,b),h) = compose(a,compose(b,g)),
inference(backward_demodulation,[],[f22,f9]) ).
fof(f22,axiom,
compose(compose(a,b),h) = compose(compose(a,b),g),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).
fof(f25,plain,
! [X2,X0] :
( compose(a,X0) != compose(a,X2)
| X0 = X2 ),
inference(equality_resolution,[],[f19]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( X0 = X2
| compose(a,X2) != X1
| compose(a,X0) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_compose1) ).
fof(f24,plain,
! [X2,X0] :
( compose(b,X0) != compose(b,X2)
| X0 = X2 ),
inference(equality_resolution,[],[f20]) ).
fof(f20,axiom,
! [X2,X0,X1] :
( X0 = X2
| compose(b,X2) != X1
| compose(b,X0) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_compose2) ).
fof(f23,axiom,
h != g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_g_equals_h) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CAT002-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 18:11:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (15216)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (15219)WARNING: value z3 for option sas not known
% 0.15/0.38 % (15220)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (15217)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (15219)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 % (15221)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 % (15222)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 % (15218)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 % (15223)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 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.22/0.41 TRYING [5]
% 0.22/0.42 TRYING [4]
% 0.22/0.46 % (15222)First to succeed.
% 0.22/0.46 % (15222)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15216"
% 0.22/0.46 % (15222)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46 % (15222)------------------------------
% 0.22/0.46 % (15222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.46 % (15222)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (15222)Memory used [KB]: 1818
% 0.22/0.46 % (15222)Time elapsed: 0.082 s
% 0.22/0.46 % (15222)Instructions burned: 143 (million)
% 0.22/0.46 % (15216)Success in time 0.099 s
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