TSTP Solution File: SYN180-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN180-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 Apr 30 18:02:25 EDT 2024
% Result : Unsatisfiable 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 36 ( 19 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 59 ( 30 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3373,plain,
$false,
inference(subsumption_resolution,[],[f3371,f369]) ).
fof(f369,axiom,
~ q4(a,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f3371,plain,
q4(a,e),
inference(resolution,[],[f3365,f2998]) ).
fof(f2998,plain,
! [X0,X1] :
( ~ q2(a,X1,X0)
| q4(X0,X1) ),
inference(resolution,[],[f2988,f475]) ).
fof(f475,plain,
! [X0] : k3(X0,X0,X0),
inference(resolution,[],[f472,f248]) ).
fof(f248,axiom,
! [X7] :
( ~ n2(X7)
| k3(X7,X7,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_210) ).
fof(f472,plain,
! [X0] : n2(X0),
inference(resolution,[],[f470,f175]) ).
fof(f175,axiom,
! [X10,X11,X6] :
( ~ p1(X11,X6,X10)
| n2(X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).
fof(f470,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f123,axiom,
! [X11,X6] :
( ~ p0(X6,X11)
| p1(X11,X11,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).
fof(f2988,plain,
! [X2,X0,X1] :
( ~ k3(X2,X2,X1)
| q4(X1,X0)
| ~ q2(a,X0,X1) ),
inference(resolution,[],[f333,f416]) ).
fof(f416,plain,
m3(a,a,a),
inference(resolution,[],[f274,f405]) ).
fof(f405,plain,
n2(a),
inference(resolution,[],[f175,f397]) ).
fof(f397,plain,
p1(a,a,a),
inference(subsumption_resolution,[],[f126,f20]) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f126,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).
fof(f274,axiom,
! [X10] :
( ~ n2(X10)
| m3(X10,X10,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_236) ).
fof(f333,axiom,
! [X11,X8,X6,X9,X7] :
( ~ m3(X8,X9,X8)
| ~ q2(X8,X6,X11)
| q4(X11,X6)
| ~ k3(X7,X7,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_295) ).
fof(f3365,plain,
! [X0] : q2(X0,e,X0),
inference(resolution,[],[f3343,f28]) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f3343,plain,
! [X0,X1] :
( ~ k0(X0)
| q2(X1,X0,X1) ),
inference(resolution,[],[f3285,f19]) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f3285,plain,
! [X8,X6,X9,X7] :
( ~ m0(X8,X9,X6)
| ~ k0(X7)
| q2(X6,X7,X6) ),
inference(subsumption_resolution,[],[f3284,f619]) ).
fof(f619,plain,
! [X2] : q2(X2,X2,X2),
inference(subsumption_resolution,[],[f219,f470]) ).
fof(f219,axiom,
! [X2] :
( ~ p1(X2,X2,X2)
| q2(X2,X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).
fof(f3284,plain,
! [X8,X6,X9,X7] :
( ~ k0(X7)
| ~ m0(X8,X9,X6)
| ~ q2(X7,X7,X7)
| q2(X6,X7,X6) ),
inference(subsumption_resolution,[],[f225,f1108]) ).
fof(f1108,plain,
! [X0] : r1(X0),
inference(subsumption_resolution,[],[f1096,f17]) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f1096,plain,
! [X0] :
( ~ q0(X0,d)
| r1(X0) ),
inference(resolution,[],[f1095,f398]) ).
fof(f398,plain,
q1(d,d,d),
inference(resolution,[],[f135,f1]) ).
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f135,axiom,
! [X10] :
( ~ s0(X10)
| q1(X10,X10,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_097) ).
fof(f1095,plain,
! [X8,X7] :
( ~ q1(d,X8,d)
| ~ q0(X7,X8)
| r1(X7) ),
inference(subsumption_resolution,[],[f162,f1]) ).
fof(f162,axiom,
! [X8,X7] :
( ~ s0(d)
| r1(X7)
| ~ q0(X7,X8)
| ~ q1(d,X8,d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_124) ).
fof(f225,axiom,
! [X8,X6,X9,X7] :
( ~ r1(X7)
| ~ k0(X7)
| ~ m0(X8,X9,X6)
| ~ q2(X7,X7,X7)
| q2(X6,X7,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_187) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN180-1 : TPTP v8.1.2. Released v1.1.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n029.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 : Tue Apr 30 02:11:35 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.37 % (27185)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (27186)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39 % (27188)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.39 % (27187)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (27190)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.39 % (27189)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.39 % (27191)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.39 % (27192)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.41 Detected minimum model sizes of [1]
% 0.22/0.41 Detected maximum model sizes of [5]
% 0.22/0.41 TRYING [1]
% 0.22/0.41 Detected minimum model sizes of [1]
% 0.22/0.41 Detected maximum model sizes of [5]
% 0.22/0.41 TRYING [1]
% 0.22/0.41 TRYING [2]
% 0.22/0.41 TRYING [2]
% 0.22/0.41 TRYING [1,1,1,1,1,1]
% 0.22/0.41 TRYING [1,1,1,1,1,1,1,1,1]
% 0.22/0.41 TRYING [2,1,1,1,1,1]
% 0.22/0.42 TRYING [2,1,1,1,1,1,1,1,1]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [3,1,1,1,1,1]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [3,1,1,1,1,1,1,1,1]
% 0.22/0.43 % (27190)First to succeed.
% 0.22/0.43 % (27190)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (27190)------------------------------
% 0.22/0.43 % (27190)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.43 % (27190)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (27190)Memory used [KB]: 1665
% 0.22/0.43 % (27190)Time elapsed: 0.040 s
% 0.22/0.43 % (27190)Instructions burned: 70 (million)
% 0.22/0.43 % (27190)------------------------------
% 0.22/0.43 % (27190)------------------------------
% 0.22/0.43 % (27185)Success in time 0.064 s
%------------------------------------------------------------------------------