TSTP Solution File: SET019-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET019-3 : 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 : n005.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 09:09:50 EDT 2024
% Result : Unsatisfiable 202.49s 29.22s
% Output : Refutation 202.49s
% 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(f219161,plain,
$false,
inference(trivial_inequality_removal,[],[f219160]) ).
fof(f219160,plain,
b != b,
inference(superposition,[],[f147,f192458]) ).
fof(f192458,plain,
b = a,
inference(duplicate_literal_removal,[],[f192434]) ).
fof(f192434,plain,
( b = a
| b = a ),
inference(resolution,[],[f192433,f192074]) ).
fof(f192074,plain,
( ~ member(f1(a,b),a)
| b = a ),
inference(factoring,[],[f33573]) ).
fof(f33573,plain,
! [X0] :
( ~ member(f1(X0,b),a)
| ~ member(f1(X0,b),X0)
| b = X0 ),
inference(resolution,[],[f2860,f146]) ).
fof(f146,axiom,
subset(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_contains_a) ).
fof(f2860,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(f192433,plain,
( member(f1(a,b),a)
| b = a ),
inference(duplicate_literal_removal,[],[f192428]) ).
fof(f192428,plain,
( b = a
| b = a
| member(f1(a,b),a) ),
inference(resolution,[],[f192426,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(f192426,plain,
( ~ member(f1(a,b),b)
| b = a ),
inference(factoring,[],[f33813]) ).
fof(f33813,plain,
! [X0] :
( ~ member(f1(a,X0),b)
| ~ member(f1(a,X0),X0)
| a = X0 ),
inference(resolution,[],[f2869,f145]) ).
fof(f145,axiom,
subset(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_contains_b) ).
fof(f2869,plain,
! [X2,X0,X1] :
( ~ subset(X2,X0)
| X0 = X1
| ~ member(f1(X0,X1),X2)
| ~ member(f1(X0,X1),X1) ),
inference(resolution,[],[f4,f67]) ).
fof(f147,axiom,
b != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove__a_equals_b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET019-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 16:53:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (23243)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (23246)WARNING: value z3 for option sas not known
% 0.21/0.38 % (23244)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (23245)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (23248)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)
% 0.21/0.38 % (23246)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)
% 0.21/0.38 % (23247)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (23249)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)
% 0.21/0.38 % (23250)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)
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.43 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.49 TRYING [3]
% 1.42/0.58 TRYING [3]
% 3.51/0.90 TRYING [4]
% 3.51/0.93 TRYING [4]
% 7.86/1.49 TRYING [1]
% 7.86/1.49 TRYING [2]
% 7.86/1.51 TRYING [3]
% 9.07/1.66 TRYING [4]
% 17.29/2.82 TRYING [5]
% 19.28/3.13 TRYING [5]
% 37.22/5.65 TRYING [5]
% 83.70/12.29 TRYING [6]
% 86.72/12.73 TRYING [6]
% 202.49/29.19 % (23249)First to succeed.
% 202.49/29.20 % (23249)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23243"
% 202.49/29.22 % (23249)Refutation found. Thanks to Tanya!
% 202.49/29.22 % SZS status Unsatisfiable for theBenchmark
% 202.49/29.22 % SZS output start Proof for theBenchmark
% See solution above
% 202.49/29.22 % (23249)------------------------------
% 202.49/29.22 % (23249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 202.49/29.22 % (23249)Termination reason: Refutation
% 202.49/29.22
% 202.49/29.22 % (23249)Memory used [KB]: 188545
% 202.49/29.22 % (23249)Time elapsed: 28.813 s
% 202.49/29.22 % (23249)Instructions burned: 82296 (million)
% 202.49/29.22 % (23243)Success in time 28.739 s
%------------------------------------------------------------------------------