%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN127-1 : 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 : n019.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 01:49:43 PM UTC 2026
% Result : Unsatisfiable 2.87s 1.17s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of formulae : 72 ( 24 unt; 10 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 142 ( 70 ~; 62 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 11 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f110,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ s0(X1)
| ~ s0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_072) ).
fof(f155,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_117) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_124) ).
fof(f178,axiom,
! [X0,X1] :
( n2(e)
| ~ r1(b)
| ~ r0(e)
| ~ p1(b,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_140) ).
fof(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_244) ).
fof(f315,axiom,
! [X2,X0,X1] :
( l4(X0)
| ~ p3(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_277) ).
fof(f369,negated_conjecture,
~ l4(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f515,definition,
( spl0_42
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f516,plain,
( ~ s0(d)
| spl0_42 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f518,definition,
( spl0_43
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f519,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f520,plain,
( ~ spl0_42
| spl0_43 ),
inference(avatar_split_clause,[],[f162,f518,f515]) ).
fof(f571,definition,
( spl0_58
<=> ! [X1] : ~ s0(X1) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f572,plain,
( ! [X1] : ~ s0(X1)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,definition,
( spl0_59
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f575,plain,
( ! [X0] :
( ~ s0(X0)
| p1(X0,X0,X0) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f576,plain,
( spl0_58
| spl0_59 ),
inference(avatar_split_clause,[],[f110,f574,f571]) ).
fof(f652,definition,
( spl0_81
<=> q1(d,d,d) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f908,definition,
( spl0_153
<=> ! [X0,X1] : ~ p1(b,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f909,plain,
( ! [X0,X1] : ~ p1(b,X0,X1)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f911,definition,
( spl0_154
<=> r0(e) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f912,plain,
( ~ r0(e)
| spl0_154 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f914,definition,
( spl0_155
<=> r1(b) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f915,plain,
( ~ r1(b)
| spl0_155 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f917,definition,
( spl0_156
<=> n2(e) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f918,plain,
( n2(e)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f919,plain,
( spl0_153
| ~ spl0_154
| ~ spl0_155
| spl0_156 ),
inference(avatar_split_clause,[],[f178,f917,f914,f911,f908]) ).
fof(f1202,definition,
( spl0_235
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
fof(f1203,plain,
( ~ k0(e)
| spl0_235 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f1275,plain,
( ~ spl0_42
| ~ spl0_235
| spl0_81 ),
inference(avatar_split_clause,[],[f155,f652,f1202,f515]) ).
fof(f1409,plain,
( $false
| spl0_42 ),
inference(resolution,[],[f1,f516]) ).
fof(f1410,plain,
( $false
| ~ spl0_58 ),
inference(resolution,[],[f1,f572]) ).
fof(f1411,plain,
~ spl0_58,
inference(avatar_contradiction_clause,[],[f1410]) ).
fof(f1412,plain,
spl0_42,
inference(avatar_contradiction_clause,[],[f1409]) ).
fof(f1419,plain,
( $false
| spl0_154 ),
inference(resolution,[],[f13,f912]) ).
fof(f1420,plain,
spl0_154,
inference(avatar_contradiction_clause,[],[f1419]) ).
fof(f1438,plain,
( $false
| spl0_235 ),
inference(resolution,[],[f28,f1203]) ).
fof(f1439,plain,
spl0_235,
inference(avatar_contradiction_clause,[],[f1438]) ).
fof(f1443,plain,
( p1(b,b,b)
| ~ spl0_59 ),
inference(resolution,[],[f575,f5]) ).
fof(f1490,plain,
( ! [X0] :
( ~ q0(b,X0)
| ~ q1(d,X0,d) )
| ~ spl0_43
| spl0_155 ),
inference(resolution,[],[f915,f519]) ).
fof(f1560,plain,
( ~ q1(d,d,d)
| ~ spl0_43
| spl0_155 ),
inference(resolution,[],[f17,f1490]) ).
fof(f1564,plain,
( ~ spl0_81
| ~ spl0_43
| spl0_155 ),
inference(avatar_split_clause,[],[f1560,f914,f518,f652]) ).
fof(f1577,plain,
( $false
| ~ spl0_59
| ~ spl0_153 ),
inference(resolution,[],[f909,f1443]) ).
fof(f1581,plain,
( ~ spl0_59
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f1577]) ).
fof(f2078,plain,
( p3(e,e,e)
| ~ spl0_156 ),
inference(resolution,[],[f282,f918]) ).
fof(f2125,plain,
! [X0,X1] : ~ p3(X0,X1,e),
inference(resolution,[],[f315,f369]) ).
fof(f2129,plain,
( $false
| ~ spl0_156 ),
inference(resolution,[],[f2125,f2078]) ).
fof(f2130,plain,
~ spl0_156,
inference(avatar_contradiction_clause,[],[f2129]) ).
cnf(s21,plain,
( ~ spl0_42
| spl0_43 ),
inference(sat_conversion,[],[f520]) ).
cnf(s29,plain,
( spl0_58
| spl0_59 ),
inference(sat_conversion,[],[f576]) ).
cnf(s80,plain,
( spl0_153
| ~ spl0_154
| ~ spl0_155
| spl0_156 ),
inference(sat_conversion,[],[f919]) ).
cnf(s136,plain,
( ~ spl0_42
| spl0_81
| ~ spl0_235 ),
inference(sat_conversion,[],[f1275]) ).
cnf(s155,plain,
~ spl0_58,
inference(sat_conversion,[],[f1411]) ).
cnf(s156,plain,
spl0_42,
inference(sat_conversion,[],[f1412]) ).
cnf(s160,plain,
spl0_154,
inference(sat_conversion,[],[f1420]) ).
cnf(s168,plain,
spl0_235,
inference(sat_conversion,[],[f1439]) ).
cnf(s191,plain,
( ~ spl0_43
| ~ spl0_81
| spl0_155 ),
inference(sat_conversion,[],[f1564]) ).
cnf(s195,plain,
( ~ spl0_59
| ~ spl0_153 ),
inference(sat_conversion,[],[f1581]) ).
cnf(s294,plain,
~ spl0_156,
inference(sat_conversion,[],[f2130]) ).
cnf(s309,plain,
spl0_81,
inference(rat,[],[s136,s168,s156]) ).
cnf(s339,plain,
( spl0_153
| ~ spl0_155 ),
inference(rat,[],[s80,s294,s160]) ).
cnf(s388,plain,
spl0_59,
inference(rat,[],[s29,s155]) ).
cnf(s389,plain,
~ spl0_153,
inference(rat,[],[s195,s388]) ).
cnf(s390,plain,
~ spl0_155,
inference(rat,[],[s339,s389]) ).
cnf(s391,plain,
~ spl0_43,
inference(rat,[],[s191,s309,s390]) ).
cnf(s408,plain,
$false,
inference(rat,[],[s21,s391,s156]) ).
fof(f2131,plain,
$false,
inference(avatar_sat_refutation,[],[s408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN127-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n019.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 15:36:18 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 2.87/1.17 % (4095909)Input is clausal, will run a generic CNF schedule.
% 2.87/1.17 % (4095920)dis-21_1_sil=8000:lcm=predicate:random_seed=2761137166: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)
% 2.87/1.17 % (4095920)First to succeed.
% 2.87/1.17 % (4095920)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4095909"
% 2.87/1.17 % (4095919)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1739182457:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.87/1.17 % (4095914)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=1165668798:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.87/1.17 % (4095917)lrs+10_1_sil=8000:sp=occurrence:random_seed=2895209645:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.87/1.17 % (4095918)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1438707295:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.87/1.17 % (4095916)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1440030673:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.87/1.17 % (4095915)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1720123910:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.87/1.17 % (4095918)Also succeeded, but the first one will report.
% 2.87/1.17 % (4095917)Also succeeded, but the first one will report.
% 2.87/1.17 % (4095919)Also succeeded, but the first one will report.
% 2.87/1.17 % (4095920)Refutation found. Thanks to Tanya!
% 2.87/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.87/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/1.17 % (4095920)------------------------------
% 2.87/1.17 % (4095920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.17 % (4095920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.17 % (4095920)CaDiCaL version: 2.1.3
% 2.87/1.17 % (4095920)Termination reason: Refutation
% 2.87/1.17 % (4095920)Time elapsed: 0.013 s
% 2.87/1.17 % (4095920)Peak memory usage: 90 MB
% 2.87/1.17 % (4095920)Instructions burned: 34 (million)
% 2.87/1.17 % (4095920)------------------------------
% 2.87/1.17 % (4095920)------------------------------
% 2.87/1.17 % (4095909)Success in time 0.319 s
% 2.87/1.17 % Vampire exiting
%------------------------------------------------------------------------------