TSTP Solution File: SYN010-1.005.005 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN010-1.005.005 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n004.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 : Wed Aug 31 19:36:33 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 27
% Syntax : Number of formulae : 113 ( 23 unt; 0 def)
% Number of atoms : 408 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 601 ( 306 ~; 295 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 27 ( 26 usr; 27 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f113,plain,
$false,
inference(subsumption_resolution,[],[f112,f106]) ).
fof(f106,plain,
p_2_2,
inference(subsumption_resolution,[],[f94,f83]) ).
fof(f83,plain,
p_3_1,
inference(subsumption_resolution,[],[f82,f53]) ).
fof(f53,plain,
p_4_4,
inference(subsumption_resolution,[],[f52,f27]) ).
fof(f27,axiom,
p_5_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
fof(f52,plain,
( ~ p_5_5
| p_4_4 ),
inference(subsumption_resolution,[],[f51,f23]) ).
fof(f23,axiom,
p_5_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
fof(f51,plain,
( ~ p_5_1
| ~ p_5_5
| p_4_4 ),
inference(subsumption_resolution,[],[f50,f25]) ).
fof(f25,axiom,
p_5_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
fof(f50,plain,
( p_4_4
| ~ p_5_3
| ~ p_5_5
| ~ p_5_1 ),
inference(subsumption_resolution,[],[f49,f26]) ).
fof(f26,axiom,
p_5_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
fof(f49,plain,
( ~ p_5_4
| ~ p_5_5
| p_4_4
| ~ p_5_1
| ~ p_5_3 ),
inference(subsumption_resolution,[],[f21,f24]) ).
fof(f24,axiom,
p_5_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
fof(f21,axiom,
( ~ p_5_2
| ~ p_5_4
| ~ p_5_5
| p_4_4
| ~ p_5_3
| ~ p_5_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
fof(f82,plain,
( p_3_1
| ~ p_4_4 ),
inference(subsumption_resolution,[],[f81,f43]) ).
fof(f43,plain,
p_4_2,
inference(subsumption_resolution,[],[f42,f27]) ).
fof(f42,plain,
( ~ p_5_5
| p_4_2 ),
inference(subsumption_resolution,[],[f41,f25]) ).
fof(f41,plain,
( p_4_2
| ~ p_5_3
| ~ p_5_5 ),
inference(subsumption_resolution,[],[f40,f23]) ).
fof(f40,plain,
( ~ p_5_1
| ~ p_5_5
| ~ p_5_3
| p_4_2 ),
inference(subsumption_resolution,[],[f39,f26]) ).
fof(f39,plain,
( p_4_2
| ~ p_5_4
| ~ p_5_3
| ~ p_5_1
| ~ p_5_5 ),
inference(subsumption_resolution,[],[f19,f24]) ).
fof(f19,axiom,
( ~ p_5_2
| ~ p_5_1
| ~ p_5_5
| ~ p_5_4
| p_4_2
| ~ p_5_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
fof(f81,plain,
( ~ p_4_2
| ~ p_4_4
| p_3_1 ),
inference(subsumption_resolution,[],[f80,f38]) ).
fof(f38,plain,
p_4_1,
inference(subsumption_resolution,[],[f37,f23]) ).
fof(f37,plain,
( p_4_1
| ~ p_5_1 ),
inference(subsumption_resolution,[],[f36,f26]) ).
fof(f36,plain,
( ~ p_5_4
| ~ p_5_1
| p_4_1 ),
inference(subsumption_resolution,[],[f35,f24]) ).
fof(f35,plain,
( p_4_1
| ~ p_5_2
| ~ p_5_4
| ~ p_5_1 ),
inference(subsumption_resolution,[],[f34,f25]) ).
fof(f34,plain,
( ~ p_5_3
| ~ p_5_1
| ~ p_5_4
| ~ p_5_2
| p_4_1 ),
inference(subsumption_resolution,[],[f18,f27]) ).
fof(f18,axiom,
( p_4_1
| ~ p_5_5
| ~ p_5_4
| ~ p_5_2
| ~ p_5_3
| ~ p_5_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
fof(f80,plain,
( ~ p_4_1
| p_3_1
| ~ p_4_4
| ~ p_4_2 ),
inference(subsumption_resolution,[],[f63,f48]) ).
fof(f48,plain,
p_4_3,
inference(subsumption_resolution,[],[f47,f23]) ).
fof(f47,plain,
( p_4_3
| ~ p_5_1 ),
inference(subsumption_resolution,[],[f46,f27]) ).
fof(f46,plain,
( ~ p_5_5
| ~ p_5_1
| p_4_3 ),
inference(subsumption_resolution,[],[f45,f25]) ).
fof(f45,plain,
( ~ p_5_3
| p_4_3
| ~ p_5_5
| ~ p_5_1 ),
inference(subsumption_resolution,[],[f44,f26]) ).
fof(f44,plain,
( ~ p_5_4
| ~ p_5_1
| ~ p_5_3
| ~ p_5_5
| p_4_3 ),
inference(subsumption_resolution,[],[f20,f24]) ).
fof(f20,axiom,
( ~ p_5_2
| ~ p_5_5
| ~ p_5_3
| ~ p_5_4
| p_4_3
| ~ p_5_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
fof(f63,plain,
( p_3_1
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| ~ p_4_4 ),
inference(resolution,[],[f58,f13]) ).
fof(f13,axiom,
( ~ p_4_5
| ~ p_4_2
| ~ p_4_4
| ~ p_4_1
| ~ p_4_3
| p_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
fof(f58,plain,
p_4_5,
inference(subsumption_resolution,[],[f57,f27]) ).
fof(f57,plain,
( ~ p_5_5
| p_4_5 ),
inference(subsumption_resolution,[],[f56,f26]) ).
fof(f56,plain,
( ~ p_5_4
| p_4_5
| ~ p_5_5 ),
inference(subsumption_resolution,[],[f55,f23]) ).
fof(f55,plain,
( p_4_5
| ~ p_5_1
| ~ p_5_4
| ~ p_5_5 ),
inference(subsumption_resolution,[],[f54,f24]) ).
fof(f54,plain,
( ~ p_5_2
| ~ p_5_5
| ~ p_5_1
| ~ p_5_4
| p_4_5 ),
inference(subsumption_resolution,[],[f22,f25]) ).
fof(f22,axiom,
( ~ p_5_3
| p_4_5
| ~ p_5_4
| ~ p_5_2
| ~ p_5_5
| ~ p_5_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
fof(f94,plain,
( ~ p_3_1
| p_2_2 ),
inference(subsumption_resolution,[],[f93,f71]) ).
fof(f71,plain,
p_3_4,
inference(subsumption_resolution,[],[f70,f43]) ).
fof(f70,plain,
( ~ p_4_2
| p_3_4 ),
inference(subsumption_resolution,[],[f69,f38]) ).
fof(f69,plain,
( ~ p_4_1
| ~ p_4_2
| p_3_4 ),
inference(subsumption_resolution,[],[f68,f48]) ).
fof(f68,plain,
( ~ p_4_3
| ~ p_4_2
| p_3_4
| ~ p_4_1 ),
inference(subsumption_resolution,[],[f60,f53]) ).
fof(f60,plain,
( ~ p_4_4
| ~ p_4_1
| ~ p_4_2
| p_3_4
| ~ p_4_3 ),
inference(resolution,[],[f58,f16]) ).
fof(f16,axiom,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| p_3_4
| ~ p_4_2
| ~ p_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f93,plain,
( ~ p_3_4
| p_2_2
| ~ p_3_1 ),
inference(subsumption_resolution,[],[f92,f67]) ).
fof(f67,plain,
p_3_2,
inference(subsumption_resolution,[],[f66,f53]) ).
fof(f66,plain,
( p_3_2
| ~ p_4_4 ),
inference(subsumption_resolution,[],[f65,f48]) ).
fof(f65,plain,
( ~ p_4_3
| ~ p_4_4
| p_3_2 ),
inference(subsumption_resolution,[],[f64,f43]) ).
fof(f64,plain,
( ~ p_4_2
| p_3_2
| ~ p_4_4
| ~ p_4_3 ),
inference(subsumption_resolution,[],[f62,f38]) ).
fof(f62,plain,
( ~ p_4_1
| ~ p_4_4
| ~ p_4_3
| p_3_2
| ~ p_4_2 ),
inference(resolution,[],[f58,f14]) ).
fof(f14,axiom,
( ~ p_4_5
| ~ p_4_2
| p_3_2
| ~ p_4_3
| ~ p_4_1
| ~ p_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f92,plain,
( ~ p_3_1
| p_2_2
| ~ p_3_2
| ~ p_3_4 ),
inference(subsumption_resolution,[],[f87,f75]) ).
fof(f75,plain,
p_3_3,
inference(subsumption_resolution,[],[f74,f43]) ).
fof(f74,plain,
( ~ p_4_2
| p_3_3 ),
inference(subsumption_resolution,[],[f73,f38]) ).
fof(f73,plain,
( p_3_3
| ~ p_4_1
| ~ p_4_2 ),
inference(subsumption_resolution,[],[f72,f53]) ).
fof(f72,plain,
( ~ p_4_4
| ~ p_4_1
| p_3_3
| ~ p_4_2 ),
inference(subsumption_resolution,[],[f61,f48]) ).
fof(f61,plain,
( p_3_3
| ~ p_4_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_4 ),
inference(resolution,[],[f58,f15]) ).
fof(f15,axiom,
( ~ p_4_5
| ~ p_4_4
| p_3_3
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f87,plain,
( ~ p_3_3
| p_2_2
| ~ p_3_4
| ~ p_3_1
| ~ p_3_2 ),
inference(resolution,[],[f79,f9]) ).
fof(f9,axiom,
( ~ p_3_5
| ~ p_3_1
| p_2_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f79,plain,
p_3_5,
inference(subsumption_resolution,[],[f78,f38]) ).
fof(f78,plain,
( p_3_5
| ~ p_4_1 ),
inference(subsumption_resolution,[],[f77,f48]) ).
fof(f77,plain,
( ~ p_4_3
| ~ p_4_1
| p_3_5 ),
inference(subsumption_resolution,[],[f76,f43]) ).
fof(f76,plain,
( p_3_5
| ~ p_4_2
| ~ p_4_3
| ~ p_4_1 ),
inference(subsumption_resolution,[],[f59,f53]) ).
fof(f59,plain,
( ~ p_4_4
| ~ p_4_2
| ~ p_4_3
| p_3_5
| ~ p_4_1 ),
inference(resolution,[],[f58,f17]) ).
fof(f17,axiom,
( ~ p_4_5
| p_3_5
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
fof(f112,plain,
~ p_2_2,
inference(subsumption_resolution,[],[f111,f108]) ).
fof(f108,plain,
p_2_1,
inference(subsumption_resolution,[],[f100,f83]) ).
fof(f100,plain,
( ~ p_3_1
| p_2_1 ),
inference(subsumption_resolution,[],[f99,f71]) ).
fof(f99,plain,
( ~ p_3_4
| ~ p_3_1
| p_2_1 ),
inference(subsumption_resolution,[],[f98,f75]) ).
fof(f98,plain,
( ~ p_3_3
| ~ p_3_1
| ~ p_3_4
| p_2_1 ),
inference(subsumption_resolution,[],[f88,f67]) ).
fof(f88,plain,
( ~ p_3_2
| ~ p_3_4
| ~ p_3_3
| p_2_1
| ~ p_3_1 ),
inference(resolution,[],[f79,f8]) ).
fof(f8,axiom,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_1
| ~ p_3_2
| p_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f111,plain,
( ~ p_2_1
| ~ p_2_2 ),
inference(subsumption_resolution,[],[f110,f107]) ).
fof(f107,plain,
p_2_3,
inference(subsumption_resolution,[],[f97,f83]) ).
fof(f97,plain,
( ~ p_3_1
| p_2_3 ),
inference(subsumption_resolution,[],[f96,f71]) ).
fof(f96,plain,
( ~ p_3_4
| p_2_3
| ~ p_3_1 ),
inference(subsumption_resolution,[],[f95,f75]) ).
fof(f95,plain,
( p_2_3
| ~ p_3_1
| ~ p_3_3
| ~ p_3_4 ),
inference(subsumption_resolution,[],[f86,f67]) ).
fof(f86,plain,
( ~ p_3_2
| p_2_3
| ~ p_3_4
| ~ p_3_3
| ~ p_3_1 ),
inference(resolution,[],[f79,f10]) ).
fof(f10,axiom,
( ~ p_3_5
| p_2_3
| ~ p_3_2
| ~ p_3_4
| ~ p_3_3
| ~ p_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f110,plain,
( ~ p_2_3
| ~ p_2_1
| ~ p_2_2 ),
inference(subsumption_resolution,[],[f105,f109]) ).
fof(f109,plain,
p_2_4,
inference(subsumption_resolution,[],[f103,f83]) ).
fof(f103,plain,
( ~ p_3_1
| p_2_4 ),
inference(subsumption_resolution,[],[f102,f71]) ).
fof(f102,plain,
( ~ p_3_4
| p_2_4
| ~ p_3_1 ),
inference(subsumption_resolution,[],[f101,f67]) ).
fof(f101,plain,
( ~ p_3_2
| p_2_4
| ~ p_3_1
| ~ p_3_4 ),
inference(subsumption_resolution,[],[f85,f75]) ).
fof(f85,plain,
( ~ p_3_3
| p_2_4
| ~ p_3_1
| ~ p_3_4
| ~ p_3_2 ),
inference(resolution,[],[f79,f11]) ).
fof(f11,axiom,
( ~ p_3_5
| ~ p_3_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_4
| p_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
fof(f105,plain,
( ~ p_2_4
| ~ p_2_1
| ~ p_2_3
| ~ p_2_2 ),
inference(resolution,[],[f104,f33]) ).
fof(f33,plain,
( ~ p_2_5
| ~ p_2_2
| ~ p_2_1
| ~ p_2_3
| ~ p_2_4 ),
inference(subsumption_resolution,[],[f32,f6]) ).
fof(f6,axiom,
( p_1_4
| ~ p_2_2
| ~ p_2_3
| ~ p_2_5
| ~ p_2_4
| ~ p_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f32,plain,
( ~ p_2_4
| ~ p_1_4
| ~ p_2_2
| ~ p_2_5
| ~ p_2_1
| ~ p_2_3 ),
inference(subsumption_resolution,[],[f31,f5]) ).
fof(f5,axiom,
( p_1_3
| ~ p_2_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_5
| ~ p_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f31,plain,
( ~ p_2_5
| ~ p_2_3
| ~ p_1_4
| ~ p_1_3
| ~ p_2_2
| ~ p_2_1
| ~ p_2_4 ),
inference(subsumption_resolution,[],[f30,f4]) ).
fof(f4,axiom,
( p_1_2
| ~ p_2_4
| ~ p_2_1
| ~ p_2_5
| ~ p_2_3
| ~ p_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f30,plain,
( ~ p_2_2
| ~ p_2_4
| ~ p_1_3
| ~ p_1_4
| ~ p_2_1
| ~ p_1_2
| ~ p_2_5
| ~ p_2_3 ),
inference(subsumption_resolution,[],[f29,f3]) ).
fof(f3,axiom,
( p_1_1
| ~ p_2_2
| ~ p_2_5
| ~ p_2_1
| ~ p_2_3
| ~ p_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f29,plain,
( ~ p_1_4
| ~ p_2_2
| ~ p_2_1
| ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1 ),
inference(resolution,[],[f7,f28]) ).
fof(f28,plain,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3 ),
inference(subsumption_resolution,[],[f2,f1]) ).
fof(f1,axiom,
~ p_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
( p_0
| ~ p_1_2
| ~ p_1_1
| ~ p_1_5
| ~ p_1_4
| ~ p_1_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f7,axiom,
( p_1_5
| ~ p_2_2
| ~ p_2_3
| ~ p_2_5
| ~ p_2_4
| ~ p_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f104,plain,
p_2_5,
inference(subsumption_resolution,[],[f91,f83]) ).
fof(f91,plain,
( ~ p_3_1
| p_2_5 ),
inference(subsumption_resolution,[],[f90,f67]) ).
fof(f90,plain,
( ~ p_3_2
| ~ p_3_1
| p_2_5 ),
inference(subsumption_resolution,[],[f89,f75]) ).
fof(f89,plain,
( p_2_5
| ~ p_3_3
| ~ p_3_1
| ~ p_3_2 ),
inference(subsumption_resolution,[],[f84,f71]) ).
fof(f84,plain,
( p_2_5
| ~ p_3_4
| ~ p_3_2
| ~ p_3_3
| ~ p_3_1 ),
inference(resolution,[],[f79,f12]) ).
fof(f12,axiom,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_1
| ~ p_3_3
| p_2_5
| ~ p_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN010-1.005.005 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 21:18:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (4065)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.48 % (4057)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.48 % (4065)First to succeed.
% 0.19/0.48 % (4057)Also succeeded, but the first one will report.
% 0.19/0.49 % (4065)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (4065)------------------------------
% 0.19/0.49 % (4065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (4065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (4065)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (4065)Memory used [KB]: 895
% 0.19/0.49 % (4065)Time elapsed: 0.049 s
% 0.19/0.49 % (4065)Instructions burned: 2 (million)
% 0.19/0.49 % (4065)------------------------------
% 0.19/0.49 % (4065)------------------------------
% 0.19/0.49 % (4042)Success in time 0.15 s
%------------------------------------------------------------------------------