TSTP Solution File: SET019-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET019-4 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 May 21 03:14:45 EDT 2024
% Result : Unsatisfiable 228.86s 33.10s
% Output : Refutation 228.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 40 ( 16 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 18 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f214370,plain,
$false,
inference(trivial_inequality_removal,[],[f214369]) ).
fof(f214369,plain,
b != b,
inference(superposition,[],[f144,f189906]) ).
fof(f189906,plain,
b = a,
inference(duplicate_literal_removal,[],[f189882]) ).
fof(f189882,plain,
( b = a
| b = a ),
inference(resolution,[],[f189881,f189665]) ).
fof(f189665,plain,
( ~ member(f1(a,b),a)
| b = a ),
inference(factoring,[],[f33220]) ).
fof(f33220,plain,
! [X0] :
( ~ member(f1(X0,b),a)
| ~ member(f1(X0,b),X0)
| b = X0 ),
inference(resolution,[],[f2857,f143]) ).
fof(f143,axiom,
subset(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_contains_a) ).
fof(f2857,plain,
! [X2,X0,X1] :
( ~ subset(X2,X1)
| X0 = X1
| ~ member(f1(X0,X1),X2)
| ~ member(f1(X0,X1),X0) ),
inference(resolution,[],[f4,f67]) ).
fof(f67,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset1) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality3) ).
fof(f189881,plain,
( member(f1(a,b),a)
| b = a ),
inference(duplicate_literal_removal,[],[f189876]) ).
fof(f189876,plain,
( b = a
| b = a
| member(f1(a,b),a) ),
inference(resolution,[],[f189874,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X1)
| X0 = X1
| member(f1(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2) ).
fof(f189874,plain,
( ~ member(f1(a,b),b)
| b = a ),
inference(factoring,[],[f33452]) ).
fof(f33452,plain,
! [X0] :
( ~ member(f1(a,X0),b)
| ~ member(f1(a,X0),X0)
| a = X0 ),
inference(resolution,[],[f2866,f142]) ).
fof(f142,axiom,
subset(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_contains_b) ).
fof(f2866,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| X0 = X1
| ~ member(f1(X0,X1),X2)
| ~ member(f1(X0,X1),X1) ),
inference(resolution,[],[f4,f67]) ).
fof(f144,axiom,
b != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove__a_equals_b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET019-4 : TPTP v8.2.0. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n002.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 : Mon May 20 13:26:37 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (23167)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (23172)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)
% 0.15/0.37 % (23170)WARNING: value z3 for option sas not known
% 0.15/0.37 % (23168)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (23169)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 % (23170)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)
% 0.15/0.37 % (23171)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (23173)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)
% 0.15/0.37 % (23174)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.45 TRYING [3]
% 0.21/0.55 TRYING [3]
% 3.62/0.88 TRYING [4]
% 3.85/0.90 TRYING [4]
% 7.91/1.47 TRYING [1]
% 7.91/1.47 TRYING [2]
% 7.91/1.49 TRYING [3]
% 9.05/1.64 TRYING [4]
% 17.15/2.79 TRYING [5]
% 19.13/3.12 TRYING [5]
% 37.03/5.65 TRYING [5]
% 83.28/12.25 TRYING [6]
% 86.66/12.74 TRYING [6]
% 228.86/33.07 % (23173)First to succeed.
% 228.86/33.07 % (23173)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23167"
% 228.86/33.10 % (23173)Refutation found. Thanks to Tanya!
% 228.86/33.10 % SZS status Unsatisfiable for theBenchmark
% 228.86/33.10 % SZS output start Proof for theBenchmark
% See solution above
% 228.86/33.10 % (23173)------------------------------
% 228.86/33.10 % (23173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 228.86/33.10 % (23173)Termination reason: Refutation
% 228.86/33.10
% 228.86/33.10 % (23173)Memory used [KB]: 186474
% 228.86/33.10 % (23173)Time elapsed: 32.693 s
% 228.86/33.10 % (23173)Instructions burned: 80712 (million)
% 228.86/33.10 % (23167)Success in time 32.452 s
%------------------------------------------------------------------------------