%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN195-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:49:53 PM UTC 2026
% Result : Unsatisfiable 2.66s 1.17s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 24
% Syntax : Number of formulae : 69 ( 22 unt; 7 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 149 ( 75 ~; 67 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 8 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
fof(f42,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ k1(X0)
| ~ l0(X1)
| ~ l1(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_004) ).
fof(f123,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ p0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f189,axiom,
( p2(d,d,d)
| ~ k1(d)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_151) ).
fof(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
fof(f282,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_244) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( ~ p3(X1,X2,X3)
| s4(X0)
| ~ l1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_299) ).
fof(f365,axiom,
! [X0,X1] :
( r5(X0,X1)
| ~ s4(X0)
| ~ k0(b)
| ~ n3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_327) ).
fof(f369,negated_conjecture,
~ r5(d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f503,definition,
( spl0_39
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f504,plain,
( ~ s0(d)
| spl0_39 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f594,definition,
( spl0_66
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f595,plain,
( ~ k0(b)
| spl0_66 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f787,definition,
( spl0_121
<=> ! [X1] :
( ~ l0(X1)
| ~ l1(X1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f788,plain,
( ! [X1] :
( ~ l1(X1,X1)
| ~ l0(X1) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f790,definition,
( spl0_122
<=> ! [X0] :
( l1(X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f791,plain,
( ! [X0] :
( l1(X0,X0)
| ~ k1(X0) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f792,plain,
( spl0_121
| spl0_122 ),
inference(avatar_split_clause,[],[f42,f790,f787]) ).
fof(f1007,definition,
( spl0_182
<=> k1(d) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
fof(f1008,plain,
( ~ k1(d)
| spl0_182 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f1010,definition,
( spl0_183
<=> p2(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f1011,plain,
( p2(d,d,d)
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1012,plain,
( ~ spl0_39
| ~ spl0_182
| spl0_183 ),
inference(avatar_split_clause,[],[f189,f1010,f1007,f503]) ).
fof(f1373,definition,
( spl0_283
<=> ! [X0,X1] :
( r5(X0,X1)
| ~ n3(X1)
| ~ s4(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).
fof(f1374,plain,
( ! [X0,X1] :
( r5(X0,X1)
| ~ n3(X1)
| ~ s4(X0) )
| ~ spl0_283 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f1375,plain,
( ~ spl0_66
| spl0_283 ),
inference(avatar_split_clause,[],[f365,f1373,f594]) ).
fof(f1397,plain,
( $false
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f504,f1]) ).
fof(f1398,plain,
spl0_39,
inference(avatar_contradiction_clause,[],[f1397]) ).
fof(f1403,plain,
( $false
| spl0_66 ),
inference(forward_subsumption_resolution,[],[f595,f32]) ).
fof(f1404,plain,
spl0_66,
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1486,plain,
k1(d),
inference(resolution,[],[f39,f34]) ).
fof(f1487,plain,
( $false
| spl0_182 ),
inference(forward_subsumption_resolution,[],[f1486,f1008]) ).
fof(f1488,plain,
spl0_182,
inference(avatar_contradiction_clause,[],[f1487]) ).
fof(f1555,plain,
( ! [X0,X1] :
( ~ n0(X0,X1)
| ~ l0(X1) )
| ~ spl0_121 ),
inference(resolution,[],[f40,f788]) ).
fof(f1573,plain,
( ~ l0(c)
| ~ spl0_121 ),
inference(resolution,[],[f1555,f26]) ).
fof(f1581,plain,
( $false
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f1573,f24]) ).
fof(f1582,plain,
~ spl0_121,
inference(avatar_contradiction_clause,[],[f1581]) ).
fof(f1602,plain,
( n3(d)
| ~ spl0_183 ),
inference(resolution,[],[f278,f1011]) ).
fof(f1661,plain,
! [X0,X1] :
( ~ p0(X0,X1)
| n2(X1) ),
inference(resolution,[],[f123,f175]) ).
fof(f1712,plain,
! [X0] : n2(X0),
inference(resolution,[],[f1661,f14]) ).
fof(f1753,plain,
( ~ n3(d)
| ~ s4(d)
| ~ spl0_283 ),
inference(resolution,[],[f1374,f369]) ).
fof(f1754,plain,
( ~ s4(d)
| ~ spl0_183
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f1753,f1602]) ).
fof(f2017,plain,
! [X0,X1] :
( s4(X0)
| ~ l1(X0,X1)
| ~ n2(X1) ),
inference(resolution,[],[f337,f282]) ).
fof(f2018,plain,
! [X0,X1] :
( ~ l1(X0,X1)
| s4(X0) ),
inference(forward_subsumption_resolution,[],[f2017,f1712]) ).
fof(f2020,plain,
( ! [X0] :
( s4(X0)
| ~ k1(X0) )
| ~ spl0_122 ),
inference(resolution,[],[f2018,f791]) ).
fof(f2024,plain,
( ~ k1(d)
| ~ spl0_122
| ~ spl0_183
| ~ spl0_283 ),
inference(resolution,[],[f2020,f1754]) ).
fof(f2025,plain,
( $false
| ~ spl0_122
| ~ spl0_183
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f2024,f1486]) ).
fof(f2026,plain,
( ~ spl0_122
| ~ spl0_183
| ~ spl0_283 ),
inference(avatar_contradiction_clause,[],[f2025]) ).
cnf(s55,plain,
( spl0_121
| spl0_122 ),
inference(sat_conversion,[],[f792]) ).
cnf(s90,plain,
( ~ spl0_39
| ~ spl0_182
| spl0_183 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s151,plain,
( ~ spl0_66
| spl0_283 ),
inference(sat_conversion,[],[f1375]) ).
cnf(s156,plain,
spl0_39,
inference(sat_conversion,[],[f1398]) ).
cnf(s159,plain,
spl0_66,
inference(sat_conversion,[],[f1404]) ).
cnf(s196,plain,
spl0_182,
inference(sat_conversion,[],[f1488]) ).
cnf(s229,plain,
~ spl0_121,
inference(sat_conversion,[],[f1582]) ).
cnf(s301,plain,
( ~ spl0_122
| ~ spl0_183
| ~ spl0_283 ),
inference(sat_conversion,[],[f2026]) ).
cnf(s305,plain,
spl0_283,
inference(rat,[],[s151,s159]) ).
cnf(s354,plain,
spl0_183,
inference(rat,[],[s90,s196,s156]) ).
cnf(s355,plain,
~ spl0_122,
inference(rat,[],[s301,s305,s354]) ).
cnf(s386,plain,
$false,
inference(rat,[],[s55,s355,s229]) ).
fof(f2029,plain,
$false,
inference(avatar_sat_refutation,[],[s386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN195-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:38:01 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.66/1.17 % (3477706)Input is clausal, will run a generic CNF schedule.
% 2.66/1.17 % (3477733)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2546516738:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.66/1.17 % (3477733)First to succeed.
% 2.66/1.17 % (3477733)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3477706"
% 2.66/1.17 % (3477734)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2097045499:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.66/1.17 % (3477730)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2731488015:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.66/1.17 % (3477732)lrs+10_1_sil=8000:sp=occurrence:random_seed=1712714104:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.66/1.17 % (3477729)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1273920048:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.66/1.17 % (3477731)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2460592286:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.66/1.17 % (3477735)dis-21_1_sil=8000:lcm=predicate:random_seed=362310319:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.66/1.17 % (3477732)Also succeeded, but the first one will report.
% 2.66/1.17 % (3477734)Also succeeded, but the first one will report.
% 2.66/1.17 % (3477735)Instruction limit reached!
% 2.66/1.17 % (3477735)------------------------------
% 2.66/1.17 % (3477735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.17 % (3477735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.17 % (3477735)CaDiCaL version: 2.1.3
% 2.66/1.17 % (3477735)Termination reason: Instruction limit
% 2.66/1.17 % (3477735)Termination phase: Saturation
% 2.66/1.17 % (3477735)Time elapsed: 0.056 s
% 2.66/1.17 % (3477735)Peak memory usage: 89 MB
% 2.66/1.17 % (3477735)Instructions burned: 120 (million)
% 2.66/1.17 % (3477733)Refutation found. Thanks to Tanya!
% 2.66/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.66/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.17 % (3477733)------------------------------
% 2.66/1.17 % (3477733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.17 % (3477733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.17 % (3477733)CaDiCaL version: 2.1.3
% 2.66/1.17 % (3477733)Termination reason: Refutation
% 2.66/1.17 % (3477733)Time elapsed: 0.011 s
% 2.66/1.17 % (3477733)Peak memory usage: 90 MB
% 2.66/1.17 % (3477733)Instructions burned: 31 (million)
% 2.66/1.17 % (3477733)------------------------------
% 2.66/1.17 % (3477733)------------------------------
% 2.66/1.17 % (3477706)Success in time 0.29 s
% 2.66/1.17 % Vampire exiting
%------------------------------------------------------------------------------