TSTP Solution File: SET017-7 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET017-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 09:09:48 EDT 2024
% Result : Unsatisfiable 0.16s 0.38s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 41 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 11 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1142,plain,
$false,
inference(trivial_inequality_removal,[],[f1141]) ).
fof(f1141,plain,
y != y,
inference(superposition,[],[f116,f977]) ).
fof(f977,plain,
y = z,
inference(duplicate_literal_removal,[],[f941]) ).
fof(f941,plain,
( y = z
| y = z
| y = z ),
inference(superposition,[],[f918,f823]) ).
fof(f823,plain,
( x = z
| y = z ),
inference(resolution,[],[f810,f318]) ).
fof(f318,plain,
member(z,universal_class),
inference(resolution,[],[f15,f115]) ).
fof(f115,axiom,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_cancellation_2) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f810,plain,
( ~ member(z,universal_class)
| x = z
| y = z ),
inference(resolution,[],[f8,f164]) ).
fof(f164,plain,
( member(z,unordered_pair(y,x))
| ~ member(z,universal_class) ),
inference(superposition,[],[f9,f150]) ).
fof(f150,plain,
unordered_pair(y,x) = unordered_pair(z,x),
inference(forward_demodulation,[],[f140,f108]) ).
fof(f108,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).
fof(f140,plain,
unordered_pair(x,y) = unordered_pair(z,x),
inference(superposition,[],[f108,f114]) ).
fof(f114,axiom,
unordered_pair(x,y) = unordered_pair(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_cancellation_1) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f918,plain,
( x = y
| y = z ),
inference(resolution,[],[f908,f278]) ).
fof(f278,plain,
member(y,universal_class),
inference(resolution,[],[f14,f115]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f908,plain,
( ~ member(y,universal_class)
| y = z
| x = y ),
inference(resolution,[],[f822,f9]) ).
fof(f822,plain,
! [X0] :
( ~ member(X0,unordered_pair(y,x))
| x = X0
| z = X0 ),
inference(forward_demodulation,[],[f816,f108]) ).
fof(f816,plain,
! [X0] :
( ~ member(X0,unordered_pair(x,y))
| x = X0
| z = X0 ),
inference(superposition,[],[f8,f114]) ).
fof(f116,axiom,
y != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_cancellation_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET017-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 17:05:53 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (6510)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (6513)WARNING: value z3 for option sas not known
% 0.16/0.33 % (6517)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)
% 0.16/0.33 % (6516)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)
% 0.16/0.33 % (6515)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)
% 0.16/0.33 % (6511)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (6513)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)
% 0.16/0.33 % (6512)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (6514)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.35 TRYING [1]
% 0.16/0.35 TRYING [2]
% 0.16/0.36 TRYING [1]
% 0.16/0.37 TRYING [2]
% 0.16/0.37 TRYING [3]
% 0.16/0.38 % (6516)First to succeed.
% 0.16/0.38 % (6516)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6510"
% 0.16/0.38 % (6516)Refutation found. Thanks to Tanya!
% 0.16/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.38 % (6516)------------------------------
% 0.16/0.38 % (6516)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.38 % (6516)Termination reason: Refutation
% 0.16/0.38
% 0.16/0.38 % (6516)Memory used [KB]: 1413
% 0.16/0.38 % (6516)Time elapsed: 0.050 s
% 0.16/0.38 % (6516)Instructions burned: 98 (million)
% 0.16/0.38 % (6510)Success in time 0.068 s
%------------------------------------------------------------------------------