%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN181-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 02:06:57 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.26s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 65 ( 21 unt; 7 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 144 ( 74 ~; 63 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 8 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( l1(X0,X1)
| ~ p0(X2,X0)
| ~ r0(X3)
| ~ m0(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_003) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).
fof(f248,axiom,
! [X0] :
( k3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_210) ).
fof(f274,axiom,
! [X0] :
( m3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_236) ).
fof(f333,axiom,
! [X2,X3,X0,X1,X4] :
( q4(X0,X1)
| ~ k3(X2,X2,X0)
| ~ q2(X3,X1,X0)
| ~ m3(X3,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_295) ).
fof(f369,negated_conjecture,
~ q4(d,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f381,plain,
! [X0,X1] : ~ m0(X0,d,X1),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ l1(X0,X1)
| ~ p0(X2,X0)
| ~ r0(X3)
| m0(X1,X0,X2) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f571,plain,
! [X0,X1] :
( ~ q2(X0,X0,X1)
| l1(X1,X0) ),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f612,plain,
! [X0] :
( ~ m3(X0,X0,X0)
| ~ n2(X0) ),
inference(consistent_polarity_flipping,[],[f274]) ).
fof(f663,plain,
! [X2,X3,X0,X1,X4] :
( ~ q4(X0,X1)
| ~ k3(X2,X2,X0)
| q2(X3,X1,X0)
| m3(X3,X4,X3) ),
inference(consistent_polarity_flipping,[],[f333]) ).
fof(f687,plain,
q4(d,b),
inference(consistent_polarity_flipping,[],[f369]) ).
fof(f991,definition,
( spl0_78
<=> ! [X0] :
( ~ m3(X0,X0,X0)
| ~ n2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f992,plain,
( ! [X0] :
( ~ m3(X0,X0,X0)
| ~ n2(X0) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f1003,definition,
( spl0_81
<=> l1(d,b) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f1005,plain,
( l1(d,b)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1035,definition,
( spl0_89
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f1036,plain,
( r0(b)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1514,definition,
( spl0_207
<=> ! [X2] : ~ r0(X2) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
fof(f1515,plain,
( ! [X2] : ~ r0(X2)
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f1869,definition,
( spl0_293
<=> ! [X2,X0,X1] :
( ~ l1(X0,X1)
| m0(X1,X0,X2)
| ~ p0(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).
fof(f1870,plain,
( ! [X2,X0,X1] :
( ~ l1(X0,X1)
| m0(X1,X0,X2)
| ~ p0(X2,X0) )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f1869]) ).
fof(f1871,plain,
( spl0_207
| spl0_293 ),
inference(avatar_split_clause,[],[f400,f1869,f1514]) ).
fof(f1883,plain,
spl0_89,
inference(avatar_split_clause,[],[f9,f1035]) ).
fof(f1893,plain,
( $false
| ~ spl0_89
| ~ spl0_207 ),
inference(backward_subsumption_resolution,[],[f1036,f1515]) ).
fof(f1895,plain,
( ~ spl0_89
| ~ spl0_207 ),
inference(avatar_contradiction_clause,[],[f1893]) ).
fof(f2057,plain,
spl0_78,
inference(avatar_split_clause,[],[f612,f991]) ).
fof(f2099,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f2102,plain,
! [X0] : n2(X0),
inference(resolution,[],[f2099,f175]) ).
fof(f2104,plain,
( ! [X0] : ~ m3(X0,X0,X0)
| ~ spl0_78 ),
inference(backward_subsumption_resolution,[],[f992,f2102]) ).
fof(f2107,plain,
! [X0] : k3(X0,X0,X0),
inference(backward_subsumption_resolution,[],[f248,f2102]) ).
fof(f2983,plain,
! [X2,X0,X1] :
( ~ k3(X0,X0,d)
| q2(X1,b,d)
| m3(X1,X2,X1) ),
inference(resolution,[],[f663,f687]) ).
fof(f2986,definition,
( spl0_353
<=> ! [X2,X1] :
( q2(X1,b,d)
| m3(X1,X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_353])],[avatar_definition]) ).
fof(f2987,plain,
( ! [X2,X1] :
( m3(X1,X2,X1)
| q2(X1,b,d) )
| ~ spl0_353 ),
inference(avatar_component_clause,[],[f2986]) ).
fof(f2989,definition,
( spl0_354
<=> ! [X0] : ~ k3(X0,X0,d) ),
introduced(definition,[new_symbols(definition,[spl0_354])],[avatar_definition]) ).
fof(f2990,plain,
( ! [X0] : ~ k3(X0,X0,d)
| ~ spl0_354 ),
inference(avatar_component_clause,[],[f2989]) ).
fof(f2991,plain,
( spl0_353
| spl0_354 ),
inference(avatar_split_clause,[],[f2983,f2989,f2986]) ).
fof(f2996,plain,
( ! [X0] : q2(X0,b,d)
| ~ spl0_78
| ~ spl0_353 ),
inference(resolution,[],[f2987,f2104]) ).
fof(f3011,plain,
( $false
| ~ spl0_354 ),
inference(resolution,[],[f2990,f2107]) ).
fof(f3016,plain,
~ spl0_354,
inference(avatar_contradiction_clause,[],[f3011]) ).
fof(f3042,plain,
( l1(d,b)
| ~ spl0_78
| ~ spl0_353 ),
inference(resolution,[],[f2996,f571]) ).
fof(f3044,plain,
( spl0_81
| ~ spl0_78
| ~ spl0_353 ),
inference(avatar_split_clause,[],[f3042,f2986,f991,f1003]) ).
fof(f3045,plain,
( ! [X0] :
( m0(b,d,X0)
| ~ p0(X0,d) )
| ~ spl0_81
| ~ spl0_293 ),
inference(resolution,[],[f1005,f1870]) ).
fof(f3046,plain,
( ! [X0] : ~ p0(X0,d)
| ~ spl0_81
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f3045,f381]) ).
fof(f3047,plain,
( $false
| ~ spl0_81
| ~ spl0_293 ),
inference(resolution,[],[f3046,f14]) ).
fof(f3048,plain,
( ~ spl0_81
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f3047]) ).
cnf(s153,plain,
( spl0_207
| spl0_293 ),
inference(sat_conversion,[],[f1871]) ).
cnf(s165,plain,
spl0_89,
inference(sat_conversion,[],[f1883]) ).
cnf(s172,plain,
( ~ spl0_89
| ~ spl0_207 ),
inference(sat_conversion,[],[f1895]) ).
cnf(s242,plain,
spl0_78,
inference(sat_conversion,[],[f2057]) ).
cnf(s383,plain,
( spl0_353
| spl0_354 ),
inference(sat_conversion,[],[f2991]) ).
cnf(s386,plain,
~ spl0_354,
inference(sat_conversion,[],[f3016]) ).
cnf(s394,plain,
( ~ spl0_78
| spl0_81
| ~ spl0_353 ),
inference(sat_conversion,[],[f3044]) ).
cnf(s395,plain,
( ~ spl0_81
| ~ spl0_293 ),
inference(sat_conversion,[],[f3048]) ).
cnf(s396,plain,
spl0_353,
inference(rat,[],[s383,s386]) ).
cnf(s404,plain,
spl0_81,
inference(rat,[],[s394,s396,s242]) ).
cnf(s405,plain,
~ spl0_293,
inference(rat,[],[s395,s404]) ).
cnf(s416,plain,
~ spl0_207,
inference(rat,[],[s172,s165]) ).
cnf(s421,plain,
$false,
inference(rat,[],[s153,s405,s416]) ).
fof(f3049,plain,
$false,
inference(avatar_sat_refutation,[],[s421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN181-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n002.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 15:40:22 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % (462499)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (462505)% WARNING: option uhcvi not known.
% 0.07/0.26 % (462505)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2865124926:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.26 % (462507)dis+10_1_sil=32000:sp=arity:random_seed=957812493:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.26 % (462508)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=767769332:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.26 % (462504)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=424634235_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.26 % (462510)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1035001881:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.26 % (462506)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3720118098:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.26 % (462509)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3865556564:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.26 % (462505) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-462499-462505"...
% 0.07/0.26 % (462505)...printing done.
% 0.07/0.26 % (462505)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.26 % (462505)------------------------------
% 0.18/0.26 % (462505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.26 % (462505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.26 % (462505)CaDiCaL version: 2.1.3
% 0.18/0.26 % (462505)Termination reason: Refutation
% 0.18/0.26 % (462505)Time elapsed: 0.019 s
% 0.18/0.26 % (462505)Peak memory usage: 14 MB
% 0.18/0.26 % (462505)Instructions burned: 46 (million)
% 0.18/0.26 % (462499)Success in time 0.055 s
% 0.18/0.26 % Vampire exiting
%------------------------------------------------------------------------------