TSTP Solution File: SYN623-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN623-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n007.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 19:39:06 EDT 2022
% Result : Unsatisfiable 1.55s 0.56s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of formulae : 58 ( 13 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 167 ( 77 ~; 81 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 7 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f314,plain,
$false,
inference(avatar_sat_refutation,[],[f127,f129,f190,f210,f251,f275,f313]) ).
fof(f313,plain,
~ spl4_15,
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f312,plain,
( $false
| ~ spl4_15 ),
inference(resolution,[],[f298,f2]) ).
fof(f2,axiom,
! [X1] : p8(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_2) ).
fof(f298,plain,
( ~ p8(c21,c21)
| ~ spl4_15 ),
inference(resolution,[],[f286,f13]) ).
fof(f13,axiom,
~ p16(c22,c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p16_13) ).
fof(f286,plain,
( ! [X0] :
( p16(c22,X0)
| ~ p8(c21,X0) )
| ~ spl4_15 ),
inference(resolution,[],[f250,f43]) ).
fof(f43,plain,
! [X29,X32,X30] :
( ~ sP3(X29,X32)
| p16(X29,X30)
| ~ p8(X32,X30) ),
inference(general_splitting,[],[f26,f42_D]) ).
fof(f42,plain,
! [X31,X29,X32] :
( ~ p16(X31,X32)
| ~ p3(X31,X29)
| sP3(X29,X32) ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,plain,
! [X32,X29] :
( ! [X31] :
( ~ p16(X31,X32)
| ~ p3(X31,X29) )
<=> ~ sP3(X29,X32) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f26,axiom,
! [X31,X29,X32,X30] :
( ~ p3(X31,X29)
| ~ p16(X31,X32)
| ~ p8(X32,X30)
| p16(X29,X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_26) ).
fof(f250,plain,
( sP3(c22,c21)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl4_15
<=> sP3(c22,c21) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f275,plain,
( spl4_15
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f267,f207,f248]) ).
fof(f207,plain,
( spl4_12
<=> sP1(c24) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f267,plain,
( ~ sP1(c24)
| sP3(c22,c21) ),
inference(resolution,[],[f133,f91]) ).
fof(f91,plain,
p3(f4(c24,c20),c22),
inference(resolution,[],[f66,f14]) ).
fof(f14,axiom,
p3(c23,f4(c24,c20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).
fof(f66,plain,
! [X0] :
( ~ p3(c23,X0)
| p3(X0,c22) ),
inference(resolution,[],[f62,f20]) ).
fof(f20,axiom,
! [X18,X4,X17] :
( ~ p3(X4,X18)
| ~ p3(X4,X17)
| p3(X17,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).
fof(f62,plain,
p3(c23,c22),
inference(resolution,[],[f49,f11]) ).
fof(f11,axiom,
p3(c22,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_11) ).
fof(f49,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(X1,X0) ),
inference(resolution,[],[f20,f5]) ).
fof(f5,axiom,
! [X4] : p3(X4,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
fof(f133,plain,
! [X2,X3] :
( ~ p3(f4(X2,c20),X3)
| ~ sP1(X2)
| sP3(X3,c21) ),
inference(resolution,[],[f72,f42]) ).
fof(f72,plain,
! [X0] :
( p16(f4(X0,c20),c21)
| ~ sP1(X0) ),
inference(resolution,[],[f39,f15]) ).
fof(f15,axiom,
p16(f4(c19,c20),c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_15) ).
fof(f39,plain,
! [X62,X63,X61] :
( ~ p16(f4(c19,X62),X63)
| ~ sP1(X61)
| p16(f4(X61,X62),X63) ),
inference(general_splitting,[],[f35,f38_D]) ).
fof(f38,plain,
! [X61,X64] :
( p16(f4(f6(c27,X64),f13(f15(c28,X61),X64)),f9(f11(c29,X61),X64))
| ~ p18(c26,X64)
| sP1(X61)
| ~ p2(X61,X64) ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,plain,
! [X61] :
( ! [X64] :
( p16(f4(f6(c27,X64),f13(f15(c28,X61),X64)),f9(f11(c29,X61),X64))
| ~ p18(c26,X64)
| ~ p2(X61,X64) )
<=> ~ sP1(X61) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f35,axiom,
! [X62,X63,X61,X64] :
( ~ p2(X61,X64)
| ~ p16(f4(c19,X62),X63)
| p16(f4(X61,X62),X63)
| ~ p18(c26,X64)
| p16(f4(f6(c27,X64),f13(f15(c28,X61),X64)),f9(f11(c29,X61),X64)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_35) ).
fof(f251,plain,
( ~ spl4_11
| spl4_15 ),
inference(avatar_split_clause,[],[f237,f248,f203]) ).
fof(f203,plain,
( spl4_11
<=> sP0(c24) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f237,plain,
( sP3(c22,c21)
| ~ sP0(c24) ),
inference(resolution,[],[f108,f91]) ).
fof(f108,plain,
! [X2,X3] :
( ~ p3(f4(X2,c20),X3)
| sP3(X3,c21)
| ~ sP0(X2) ),
inference(resolution,[],[f69,f42]) ).
fof(f69,plain,
! [X0] :
( p16(f4(X0,c20),c21)
| ~ sP0(X0) ),
inference(resolution,[],[f37,f15]) ).
fof(f37,plain,
! [X62,X63,X61] :
( ~ p16(f4(c19,X62),X63)
| ~ sP0(X61)
| p16(f4(X61,X62),X63) ),
inference(general_splitting,[],[f34,f36_D]) ).
fof(f36,plain,
! [X61,X64] :
( ~ p16(f4(X64,f13(f15(c28,X61),X64)),f9(f11(c29,X61),X64))
| sP0(X61)
| ~ p2(X61,X64)
| ~ p18(c26,X64) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
! [X61] :
( ! [X64] :
( ~ p16(f4(X64,f13(f15(c28,X61),X64)),f9(f11(c29,X61),X64))
| ~ p2(X61,X64)
| ~ p18(c26,X64) )
<=> ~ sP0(X61) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f34,axiom,
! [X62,X63,X61,X64] :
( ~ p16(f4(c19,X62),X63)
| p16(f4(X61,X62),X63)
| ~ p18(c26,X64)
| ~ p16(f4(X64,f13(f15(c28,X61),X64)),f9(f11(c29,X61),X64))
| ~ p2(X61,X64) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_34) ).
fof(f210,plain,
( spl4_11
| spl4_12
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f192,f188,f207,f203]) ).
fof(f188,plain,
( spl4_8
<=> ! [X0] :
( ~ p2(X0,c25)
| sP0(X0)
| sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f192,plain,
( sP1(c24)
| sP0(c24)
| ~ spl4_8 ),
inference(resolution,[],[f189,f12]) ).
fof(f12,axiom,
p2(c24,c25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f189,plain,
( ! [X0] :
( ~ p2(X0,c25)
| sP1(X0)
| sP0(X0) )
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f190,plain,
( ~ spl4_3
| spl4_8
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f186,f125,f188,f121]) ).
fof(f121,plain,
( spl4_3
<=> p18(c26,c25) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f125,plain,
( spl4_4
<=> ! [X0] :
( p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))
| sP1(X0)
| ~ p2(X0,c25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f186,plain,
( ! [X0] :
( ~ p2(X0,c25)
| sP1(X0)
| ~ p18(c26,c25)
| sP0(X0) )
| ~ spl4_4 ),
inference(duplicate_literal_removal,[],[f184]) ).
fof(f184,plain,
( ! [X0] :
( sP1(X0)
| sP0(X0)
| ~ p2(X0,c25)
| ~ p18(c26,c25)
| ~ p2(X0,c25) )
| ~ spl4_4 ),
inference(resolution,[],[f126,f36]) ).
fof(f126,plain,
( ! [X0] :
( p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))
| sP1(X0)
| ~ p2(X0,c25) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f129,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f128]) ).
fof(f128,plain,
( $false
| spl4_3 ),
inference(resolution,[],[f123,f10]) ).
fof(f10,axiom,
p18(c26,c25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_10) ).
fof(f123,plain,
( ~ p18(c26,c25)
| spl4_3 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f127,plain,
( ~ spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f118,f125,f121]) ).
fof(f118,plain,
! [X0] :
( p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))
| ~ p2(X0,c25)
| sP1(X0)
| ~ p18(c26,c25) ),
inference(resolution,[],[f38,f25]) ).
fof(f25,axiom,
! [X28,X27] :
( ~ p16(f4(f6(c27,c25),X27),X28)
| p16(f4(c25,X27),X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_25) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SYN623-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36 % Computer : n007.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 : Tue Aug 30 21:57:01 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.51 % (32474)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.52 % (32485)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.52 % (32483)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.52 % (32477)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.53 % (32493)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)
% 0.22/0.53 % (32474)Instruction limit reached!
% 0.22/0.53 % (32474)------------------------------
% 0.22/0.53 % (32474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (32491)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.22/0.53 % (32474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (32474)Termination reason: Unknown
% 0.22/0.53 % (32474)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (32474)Memory used [KB]: 5500
% 0.22/0.53 % (32474)Time elapsed: 0.108 s
% 0.22/0.53 % (32474)Instructions burned: 7 (million)
% 0.22/0.53 % (32474)------------------------------
% 0.22/0.53 % (32474)------------------------------
% 0.22/0.54 % (32489)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)
% 0.22/0.54 % (32468)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.54 % (32475)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.54 % (32467)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.22/0.54 % (32475)Instruction limit reached!
% 0.22/0.54 % (32475)------------------------------
% 0.22/0.54 % (32475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (32475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (32475)Termination reason: Unknown
% 0.22/0.54 % (32475)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (32475)Memory used [KB]: 5500
% 0.22/0.54 % (32475)Time elapsed: 0.125 s
% 0.22/0.54 % (32475)Instructions burned: 3 (million)
% 0.22/0.54 % (32475)------------------------------
% 0.22/0.54 % (32475)------------------------------
% 0.22/0.54 TRYING [1]
% 0.22/0.54 % (32471)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.54 TRYING [2]
% 0.22/0.54 % (32469)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.55 % (32492)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.55 % (32496)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.22/0.55 % (32472)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.22/0.55 % (32486)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.55 % (32473)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.55 % (32487)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.22/0.55 % (32476)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.56 % (32468)Refutation not found, incomplete strategy% (32468)------------------------------
% 0.22/0.56 % (32468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (32468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (32468)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.56
% 0.22/0.56 % (32468)Memory used [KB]: 5373
% 0.22/0.56 % (32468)Time elapsed: 0.116 s
% 0.22/0.56 % (32468)Instructions burned: 3 (million)
% 0.22/0.56 % (32468)------------------------------
% 0.22/0.56 % (32468)------------------------------
% 0.22/0.56 % (32481)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)
% 0.22/0.56 % (32479)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.22/0.56 % (32490)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.22/0.56 % (32488)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.56 % (32470)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.55/0.56 % (32477)First to succeed.
% 1.55/0.56 % (32477)Refutation found. Thanks to Tanya!
% 1.55/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.55/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.57 % (32477)------------------------------
% 1.55/0.57 % (32477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.57 % (32477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.57 % (32477)Termination reason: Refutation
% 1.55/0.57
% 1.55/0.57 % (32477)Memory used [KB]: 5628
% 1.55/0.57 % (32477)Time elapsed: 0.149 s
% 1.55/0.57 % (32477)Instructions burned: 9 (million)
% 1.55/0.57 % (32477)------------------------------
% 1.55/0.57 % (32477)------------------------------
% 1.55/0.57 % (32466)Success in time 0.194 s
%------------------------------------------------------------------------------