TSTP Solution File: SYN254-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN254-1 : 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 : 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 : Tue Apr 30 18:02:38 EDT 2024
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 51 ( 23 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 95 ( 48 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3356,plain,
$false,
inference(resolution,[],[f3340,f369]) ).
fof(f369,axiom,
~ m4(e,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f3340,plain,
! [X0,X1] : m4(X0,X1),
inference(resolution,[],[f3326,f1614]) ).
fof(f1614,plain,
! [X0] : l2(X0,X0),
inference(resolution,[],[f1596,f14]) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f1596,plain,
! [X0,X1] :
( ~ p0(X1,X1)
| l2(X0,X0) ),
inference(resolution,[],[f1547,f19]) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f1547,plain,
! [X3,X10,X11,X6] :
( ~ m0(X6,X11,X3)
| l2(X3,X3)
| ~ p0(X10,X10) ),
inference(subsumption_resolution,[],[f171,f502]) ).
fof(f502,plain,
! [X0] : s1(X0),
inference(resolution,[],[f495,f379]) ).
fof(f379,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f163,axiom,
! [X2] :
( ~ p0(X2,X2)
| s1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f495,plain,
! [X0,X1] :
( ~ s1(X1)
| s1(X0) ),
inference(resolution,[],[f164,f17]) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f164,axiom,
! [X9,X4,X5] :
( ~ q0(X9,X4)
| s1(X9)
| ~ s1(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f171,axiom,
! [X3,X10,X11,X6] :
( ~ s1(X11)
| ~ p0(X10,X10)
| l2(X3,X3)
| ~ m0(X6,X11,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).
fof(f3326,plain,
! [X2,X0,X1] :
( ~ l2(X0,X1)
| m4(X2,X1) ),
inference(resolution,[],[f3312,f317]) ).
fof(f317,axiom,
! [X8,X9,X4] :
( ~ s3(a,X8)
| ~ l2(X4,X9)
| m4(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_279) ).
fof(f3312,plain,
! [X0] : s3(a,X0),
inference(resolution,[],[f3306,f2348]) ).
fof(f2348,plain,
! [X0,X1] :
( ~ s2(X0)
| s3(X0,X1) ),
inference(resolution,[],[f2315,f19]) ).
fof(f2315,plain,
! [X2,X0,X1] :
( ~ m0(X0,X2,X1)
| s3(X0,X1)
| ~ s2(X0) ),
inference(resolution,[],[f311,f619]) ).
fof(f619,plain,
! [X2] : q2(X2,X2,X2),
inference(subsumption_resolution,[],[f219,f470]) ).
fof(f470,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f123,axiom,
! [X11,X6] :
( ~ p0(X6,X11)
| p1(X11,X11,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
fof(f219,axiom,
! [X2] :
( ~ p1(X2,X2,X2)
| q2(X2,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_181) ).
fof(f311,axiom,
! [X2,X3,X10,X11] :
( ~ q2(X10,X2,X10)
| s3(X2,X3)
| ~ m0(X10,X11,X3)
| ~ s2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_273) ).
fof(f3306,plain,
s2(a),
inference(resolution,[],[f3303,f620]) ).
fof(f620,plain,
! [X5] :
( ~ q2(b,X5,b)
| s2(X5) ),
inference(subsumption_resolution,[],[f227,f379]) ).
fof(f227,axiom,
! [X5] :
( ~ s1(b)
| s2(X5)
| ~ q2(b,X5,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_189) ).
fof(f3303,plain,
q2(b,a,b),
inference(resolution,[],[f3217,f2104]) ).
fof(f2104,plain,
! [X0] : n1(a,X0,X0),
inference(subsumption_resolution,[],[f2103,f20]) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f2103,plain,
! [X0] :
( ~ l0(a)
| n1(a,X0,X0) ),
inference(resolution,[],[f2091,f386]) ).
fof(f386,plain,
l1(a,a),
inference(resolution,[],[f40,f37]) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f40,axiom,
! [X4,X5] :
( ~ n0(X5,X4)
| l1(X4,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
fof(f2091,plain,
! [X0,X1] :
( ~ l1(X0,a)
| ~ l0(X0)
| n1(a,X1,X1) ),
inference(resolution,[],[f92,f1085]) ).
fof(f1085,plain,
! [X0] : n1(a,X0,a),
inference(resolution,[],[f1084,f20]) ).
fof(f1084,plain,
! [X8,X7] :
( ~ l0(X7)
| n1(X7,X8,X7) ),
inference(subsumption_resolution,[],[f1083,f14]) ).
fof(f1083,plain,
! [X8,X7] :
( ~ l0(X7)
| ~ p0(b,X8)
| n1(X7,X8,X7) ),
inference(subsumption_resolution,[],[f88,f5]) ).
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f88,axiom,
! [X8,X7] :
( ~ s0(b)
| ~ l0(X7)
| ~ p0(b,X8)
| n1(X7,X8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_050) ).
fof(f92,axiom,
! [X8,X9,X4] :
( ~ n1(X8,X9,X8)
| ~ l1(X4,X8)
| ~ l0(X4)
| n1(X8,X9,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_054) ).
fof(f3217,plain,
! [X0] :
( ~ n1(X0,b,b)
| q2(b,X0,b) ),
inference(subsumption_resolution,[],[f3196,f396]) ).
fof(f396,plain,
p1(b,b,b),
inference(resolution,[],[f106,f32]) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f106,axiom,
! [X7] :
( ~ k0(X7)
| p1(X7,X7,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_068) ).
fof(f3196,plain,
! [X0] :
( ~ n1(X0,b,b)
| ~ p1(b,b,b)
| q2(b,X0,b) ),
inference(resolution,[],[f220,f930]) ).
fof(f930,plain,
! [X0] : q2(X0,b,b),
inference(resolution,[],[f925,f32]) ).
fof(f925,plain,
! [X8,X9] :
( ~ k0(X9)
| q2(X8,X9,X9) ),
inference(subsumption_resolution,[],[f215,f470]) ).
fof(f215,axiom,
! [X8,X9] :
( ~ k0(X9)
| ~ p1(X8,X8,X8)
| q2(X8,X9,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_177) ).
fof(f220,axiom,
! [X9,X4,X5] :
( ~ q2(X4,X5,X9)
| ~ n1(X4,X9,X5)
| ~ p1(X9,X9,X5)
| q2(X9,X4,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_182) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN254-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n018.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 02:08:28 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (31694)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (31703)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (31705)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 % (31706)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 % (31702)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 % (31704)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)
% 0.14/0.39 % (31707)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 % (31708)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)
% 0.21/0.41 Detected minimum model sizes of [1]
% 0.21/0.41 Detected maximum model sizes of [5]
% 0.21/0.41 TRYING [1]
% 0.21/0.41 Detected minimum model sizes of [1]
% 0.21/0.41 Detected maximum model sizes of [5]
% 0.21/0.41 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.41 TRYING [1,1,1,1,1,1]
% 0.21/0.41 TRYING [2]
% 0.21/0.41 TRYING [1,1,1,1,1,1,1,1,1]
% 0.21/0.41 TRYING [2,1,1,1,1,1]
% 0.21/0.41 TRYING [2,1,1,1,1,1,1,1,1]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [3,1,1,1,1,1]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [3,1,1,1,1,1,1,1,1]
% 0.21/0.43 % (31706)First to succeed.
% 0.21/0.43 % (31706)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43 % (31706)------------------------------
% 0.21/0.43 % (31706)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.43 % (31706)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (31706)Memory used [KB]: 1664
% 0.21/0.43 % (31706)Time elapsed: 0.040 s
% 0.21/0.43 % (31706)Instructions burned: 70 (million)
% 0.21/0.43 % (31706)------------------------------
% 0.21/0.43 % (31706)------------------------------
% 0.21/0.43 % (31694)Success in time 0.063 s
%------------------------------------------------------------------------------