TSTP Solution File: SYN036-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN036-4 : 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 : 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 : Tue Apr 30 18:01:52 EDT 2024
% Result : Unsatisfiable 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 33
% Syntax : Number of formulae : 92 ( 1 unt; 0 def)
% Number of atoms : 311 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 373 ( 154 ~; 205 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 15 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f141,plain,
$false,
inference(avatar_sat_refutation,[],[f47,f51,f55,f56,f65,f69,f73,f86,f90,f91,f95,f96,f97,f98,f99,f103,f107,f109,f111,f113,f116,f119,f122,f125,f128,f134,f137,f140]) ).
fof(f140,plain,
( ~ spl0_5
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f139,plain,
( $false
| ~ spl0_5
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f138,f50]) ).
fof(f50,plain,
( ! [X3] : ~ p(X3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_5
<=> ! [X3] : ~ p(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f138,plain,
( ! [X14] : p(fy5(X14))
| ~ spl0_5
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f81,f50]) ).
fof(f81,plain,
( ! [X14] :
( p(X14)
| p(fy5(X14)) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl0_12
<=> ! [X14] :
( p(X14)
| p(fy5(X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f137,plain,
( ~ spl0_3
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f136]) ).
fof(f136,plain,
( $false
| ~ spl0_3
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f135,f42]) ).
fof(f42,plain,
( ! [X2] : ~ q(X2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_3
<=> ! [X2] : ~ q(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f135,plain,
( ! [X9] : q(fz(X9))
| ~ spl0_3
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f89,f42]) ).
fof(f89,plain,
( ! [X9] :
( q(X9)
| q(fz(X9)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl0_14
<=> ! [X9] :
( q(X9)
| q(fz(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f134,plain,
( ~ spl0_3
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f133,plain,
( $false
| ~ spl0_3
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f132,f42]) ).
fof(f132,plain,
( ! [X5] : q(fz5(X5))
| ~ spl0_3
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f85,f42]) ).
fof(f85,plain,
( ! [X5] :
( q(X5)
| q(fz5(X5)) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_13
<=> ! [X5] :
( q(X5)
| q(fz5(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f128,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f127,plain,
( $false
| ~ spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f126,f35]) ).
fof(f35,plain,
( ! [X0] : p(X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_1
<=> ! [X0] : p(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f126,plain,
( ! [X4] : ~ p(fy5(X4))
| ~ spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f68,f35]) ).
fof(f68,plain,
( ! [X4] :
( ~ p(fy5(X4))
| ~ p(X4) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_9
<=> ! [X4] :
( ~ p(X4)
| ~ p(fy5(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f125,plain,
( ~ spl0_1
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f124]) ).
fof(f124,plain,
( $false
| ~ spl0_1
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f123,f35]) ).
fof(f123,plain,
( ! [X10] : ~ p(fy(X10))
| ~ spl0_1
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f59,f35]) ).
fof(f59,plain,
( ! [X10] :
( ~ p(fy(X10))
| ~ p(X10) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_7
<=> ! [X10] :
( ~ p(X10)
| ~ p(fy(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f122,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f121]) ).
fof(f121,plain,
( $false
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f120,f54]) ).
fof(f54,plain,
( ! [X1] : q(X1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_6
<=> ! [X1] : q(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f120,plain,
( ! [X5] : ~ q(fz5(X5))
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f72,f54]) ).
fof(f72,plain,
( ! [X5] :
( ~ q(X5)
| ~ q(fz5(X5)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl0_10
<=> ! [X5] :
( ~ q(X5)
| ~ q(fz5(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f119,plain,
( ~ spl0_6
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f118]) ).
fof(f118,plain,
( $false
| ~ spl0_6
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f117,f54]) ).
fof(f117,plain,
( ! [X9] : ~ q(fz(X9))
| ~ spl0_6
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f94,f54]) ).
fof(f94,plain,
( ! [X9] :
( ~ q(X9)
| ~ q(fz(X9)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_15
<=> ! [X9] :
( ~ q(X9)
| ~ q(fz(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f116,plain,
( ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f115,plain,
( $false
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f114,f50]) ).
fof(f114,plain,
( ! [X11] : p(fy(X11))
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f63,f50]) ).
fof(f63,plain,
( ! [X11] :
( p(fy(X11))
| p(X11) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_8
<=> ! [X11] :
( p(X11)
| p(fy(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f113,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f112]) ).
fof(f112,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f42,f39]) ).
fof(f39,plain,
( q(cw)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_2
<=> q(cw) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f111,plain,
( spl0_12
| spl0_2
| spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f32,f44,f84,f37,f80]) ).
fof(f44,plain,
( spl0_4
<=> p(cx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f32,axiom,
! [X4,X5] :
( p(cx)
| q(X5)
| q(cw)
| p(X4)
| q(fz5(X5))
| p(fy5(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).
fof(f109,plain,
( spl0_9
| ~ spl0_2
| spl0_10
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f23,f44,f71,f37,f67]) ).
fof(f23,axiom,
! [X4,X5] :
( ~ p(cx)
| ~ q(X5)
| ~ q(cw)
| ~ p(X4)
| ~ q(fz5(X5))
| ~ p(fy5(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
fof(f107,plain,
( spl0_4
| spl0_8
| ~ spl0_2
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f93,f37,f62,f44]) ).
fof(f30,axiom,
! [X18,X9] :
( ~ q(X9)
| ~ q(cw)
| p(X18)
| p(cx)
| ~ q(fz(X9))
| p(fy(X18)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
fof(f103,plain,
( spl0_2
| spl0_14
| ~ spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f22,f58,f44,f88,f37]) ).
fof(f22,axiom,
! [X18,X9] :
( ~ p(X18)
| ~ p(cx)
| q(X9)
| q(cw)
| ~ p(fy(X18))
| q(fz(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
fof(f99,plain,
( spl0_4
| spl0_8
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f41,f37,f62,f44]) ).
fof(f20,axiom,
! [X18,X19] :
( ~ q(X19)
| q(cw)
| p(X18)
| p(cx)
| p(fy(X18)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f98,plain,
( spl0_1
| spl0_2
| spl0_14
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f10,f44,f88,f37,f34]) ).
fof(f10,axiom,
! [X9,X7] :
( ~ p(cx)
| q(X9)
| q(cw)
| p(X7)
| q(fz(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f97,plain,
( spl0_6
| spl0_9
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5,f44,f37,f67,f53]) ).
fof(f5,axiom,
! [X1,X4] :
( ~ p(cx)
| ~ q(cw)
| ~ p(X4)
| q(X1)
| ~ p(fy5(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f96,plain,
( spl0_1
| spl0_14
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f8,f44,f41,f88,f34]) ).
fof(f8,axiom,
! [X8,X6,X7] :
( ~ p(cx)
| ~ q(X6)
| q(X8)
| p(X7)
| q(fz(X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f95,plain,
( spl0_1
| spl0_6
| spl0_15
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f9,f44,f93,f53,f34]) ).
fof(f9,axiom,
! [X8,X9,X7] :
( ~ p(cx)
| ~ q(X9)
| q(X8)
| p(X7)
| ~ q(fz(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f91,plain,
( spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f7,f44,f71,f37,f34]) ).
fof(f7,axiom,
! [X0,X5] :
( ~ p(cx)
| ~ q(X5)
| ~ q(cw)
| p(X0)
| ~ q(fz5(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f90,plain,
( spl0_4
| spl0_2
| spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f15,f49,f88,f37,f44]) ).
fof(f15,axiom,
! [X9,X15] :
( ~ p(X15)
| q(X9)
| q(cw)
| p(cx)
| q(fz(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f86,plain,
( spl0_13
| spl0_4
| spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f17,f49,f41,f44,f84]) ).
fof(f17,axiom,
! [X3,X16,X5] :
( ~ p(X3)
| ~ q(X16)
| p(cx)
| q(X5)
| q(fz5(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
fof(f73,plain,
( spl0_4
| ~ spl0_2
| spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f49,f71,f37,f44]) ).
fof(f16,axiom,
! [X3,X5] :
( ~ p(X3)
| ~ q(X5)
| ~ q(cw)
| p(cx)
| ~ q(fz5(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
fof(f69,plain,
( spl0_2
| spl0_3
| ~ spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f6,f67,f44,f41,f37]) ).
fof(f6,axiom,
! [X2,X4] :
( ~ p(X4)
| ~ p(cx)
| ~ q(X2)
| q(cw)
| ~ p(fy5(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f65,plain,
( spl0_4
| spl0_8
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f19,f37,f53,f62,f44]) ).
fof(f19,axiom,
! [X18,X12] :
( ~ q(cw)
| q(X12)
| p(X18)
| p(cx)
| p(fy(X18)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
fof(f56,plain,
( spl0_1
| spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1,f37,f44,f53,f34]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ q(cw)
| ~ p(cx)
| q(X1)
| p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f55,plain,
( spl0_6
| spl0_4
| spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3,f37,f49,f44,f53]) ).
fof(f3,axiom,
! [X3,X1] :
( ~ q(cw)
| ~ p(X3)
| p(cx)
| q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f51,plain,
( spl0_4
| spl0_2
| spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f4,f41,f49,f37,f44]) ).
fof(f4,axiom,
! [X2,X3] :
( ~ q(X2)
| ~ p(X3)
| q(cw)
| p(cx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f47,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f2,f44,f41,f37,f34]) ).
fof(f2,axiom,
! [X2,X0] :
( ~ p(cx)
| ~ q(X2)
| q(cw)
| p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN036-4 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n004.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 01:47:48 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (32738)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (32739)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 % (32740)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (32744)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 % (32743)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 % (32742)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 % (32741)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 % (32745)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)
% 0.14/0.40 % (32744)First to succeed.
% 0.14/0.40 TRYING [5]
% 0.14/0.40 % (32743)Also succeeded, but the first one will report.
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [1,1]
% 0.14/0.40 TRYING [1,1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 % (32744)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (32744)------------------------------
% 0.14/0.40 % (32744)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40 % (32744)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (32744)Memory used [KB]: 811
% 0.14/0.40 % (32744)Time elapsed: 0.008 s
% 0.14/0.40 % (32744)Instructions burned: 5 (million)
% 0.14/0.40 % (32744)------------------------------
% 0.14/0.40 % (32744)------------------------------
% 0.14/0.40 % (32738)Success in time 0.035 s
%------------------------------------------------------------------------------