TSTP Solution File: SYN074-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN074-1 : 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 : n018.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 12:08:48 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 54 ( 35 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 57 ( 28 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,plain,
$false,
inference(resolution,[],[f78,f16]) ).
fof(f16,plain,
big_f(a,b),
inference(equality_resolution,[],[f15]) ).
fof(f15,plain,
! [X1] :
( b != X1
| big_f(a,X1) ),
inference(equality_resolution,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( a != X0
| b != X1
| big_f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f78,plain,
~ big_f(a,b),
inference(trivial_inequality_removal,[],[f77]) ).
fof(f77,plain,
( a != a
| ~ big_f(a,b) ),
inference(forward_demodulation,[],[f76,f30]) ).
fof(f30,plain,
a = f(a),
inference(equality_resolution,[],[f28]) ).
fof(f28,plain,
! [X0] :
( a != X0
| f(X0) = X0 ),
inference(equality_factoring,[],[f23]) ).
fof(f23,plain,
! [X0] :
( a = f(X0)
| f(X0) = X0 ),
inference(resolution,[],[f1,f12]) ).
fof(f12,plain,
! [X0] :
( big_f(f(X0),g(X0))
| f(X0) = X0 ),
inference(equality_resolution,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( g(X0) != X1
| f(X0) = X0
| big_f(f(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f1,axiom,
! [X0,X1] :
( ~ big_f(X0,X1)
| a = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f76,plain,
( a != f(a)
| ~ big_f(a,b) ),
inference(trivial_inequality_removal,[],[f75]) ).
fof(f75,plain,
( b != b
| a != f(a)
| ~ big_f(a,b) ),
inference(superposition,[],[f18,f73]) ).
fof(f73,plain,
b = h(a,b),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X0] :
( b != X0
| b = h(a,X0) ),
inference(equality_factoring,[],[f58]) ).
fof(f58,plain,
! [X0] :
( h(a,X0) = X0
| b = h(a,X0) ),
inference(resolution,[],[f56,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ big_f(X0,X1)
| b = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f56,plain,
! [X0] :
( big_f(a,h(a,X0))
| h(a,X0) = X0 ),
inference(trivial_inequality_removal,[],[f55]) ).
fof(f55,plain,
! [X0] :
( a != a
| h(a,X0) = X0
| big_f(a,h(a,X0)) ),
inference(superposition,[],[f19,f30]) ).
fof(f19,plain,
! [X2,X0] :
( f(X0) != X0
| h(X0,X2) = X2
| big_f(X0,h(X0,X2)) ),
inference(inner_rewriting,[],[f10]) ).
fof(f10,axiom,
! [X2,X0] :
( f(X0) != X0
| h(X0,X2) = X2
| big_f(f(X0),h(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f18,plain,
! [X2,X0] :
( h(X0,X2) != X2
| f(X0) != X0
| ~ big_f(X0,X2) ),
inference(inner_rewriting,[],[f17]) ).
fof(f17,plain,
! [X2,X0] :
( f(X0) != X0
| h(X0,X2) != X2
| ~ big_f(X0,h(X0,X2)) ),
inference(inner_rewriting,[],[f11]) ).
fof(f11,axiom,
! [X2,X0] :
( f(X0) != X0
| h(X0,X2) != X2
| ~ big_f(f(X0),h(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN074-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n018.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 17:47:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (15952)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (15955)WARNING: value z3 for option sas not known
% 0.15/0.38 % (15954)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 % (15956)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (15953)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (15955)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 % (15957)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 % (15958)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 % (15959)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]
% 0.15/0.38 % (15958)First to succeed.
% 0.15/0.38 % (15958)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15952"
% 0.15/0.38 TRYING [4]
% 0.15/0.38 % (15958)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (15958)------------------------------
% 0.15/0.38 % (15958)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (15958)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (15958)Memory used [KB]: 769
% 0.15/0.38 % (15958)Time elapsed: 0.005 s
% 0.15/0.38 % (15958)Instructions burned: 5 (million)
% 0.15/0.38 % (15952)Success in time 0.009 s
%------------------------------------------------------------------------------