%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN556-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 02:17:35 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 48 ( 15 unt; 2 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 99 ( 35 ~; 62 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_2) ).
fof(f3,negated_conjecture,
p2(c10,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).
fof(f6,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f7,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
fof(f8,negated_conjecture,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
fof(f9,negated_conjecture,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_9) ).
fof(f10,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f5(X0,X1),f5(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
fof(f11,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f8(X0,X1),f8(X2,X3))
| ~ p2(X1,X3)
| ~ p3(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
fof(f12,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( p3(f4(X0,X1,X2),f4(X3,X4,X5))
| ~ p2(X1,X4)
| ~ p3(X2,X5)
| ~ p2(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_12) ).
fof(f13,plain,
! [X0] : ~ p2(X0,X0),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f14,plain,
! [X0] : ~ p3(X0,X0),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f15,plain,
~ p2(c10,c13),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ p2(X0,X1)
| p2(X2,X0)
| p2(X2,X1) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ p3(X0,X1)
| p3(X2,X0)
| p3(X2,X1) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f20,plain,
~ p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f21,plain,
p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( ~ p2(f5(X0,X1),f5(X2,X3))
| p2(X0,X2)
| p2(X1,X3) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( ~ p2(f8(X0,X1),f8(X2,X3))
| p2(X1,X3)
| p3(X0,X2) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p3(f4(X0,X1,X2),f4(X3,X4,X5))
| p2(X1,X4)
| p3(X2,X5)
| p2(X0,X3) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f25,plain,
! [X0] :
( p3(X0,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| p3(X0,c9) ),
inference(resolution,[],[f21,f19]) ).
fof(f28,plain,
! [X2,X0,X1] :
( p3(f4(X0,X1,X2),c9)
| p2(X1,f5(f8(c11,c10),f6(f7(c12))))
| p3(X2,c11)
| p2(X0,c10) ),
inference(resolution,[],[f25,f24]) ).
fof(f38,plain,
! [X2,X3,X0,X1] :
( p2(X1,f5(f8(c11,c10),f6(f7(c12))))
| p3(X3,f4(X0,X1,X2))
| p2(X0,c10)
| p3(X2,c11)
| p3(X3,c9) ),
inference(resolution,[],[f28,f19]) ).
fof(f119,plain,
! [X2,X3,X0,X1,X4] :
( p3(X2,f4(X3,f5(X0,X1),X4))
| p2(X3,c10)
| p3(X4,c11)
| p3(X2,c9)
| p2(X0,f8(c11,c10))
| p2(X1,f6(f7(c12))) ),
inference(resolution,[],[f38,f22]) ).
fof(f615,definition,
( spl0_7
<=> p2(c13,c10) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f616,plain,
( ~ p2(c13,c10)
| spl0_7 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f617,plain,
( p2(c13,c10)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f624,plain,
( p2(c13,c10)
| p3(c11,c11)
| p3(c9,c9)
| p2(f8(c11,c13),f8(c11,c10))
| p2(f6(f7(c12)),f6(f7(c12))) ),
inference(resolution,[],[f119,f20]) ).
fof(f626,plain,
( p2(c13,c10)
| p3(c11,c11)
| p2(f8(c11,c13),f8(c11,c10))
| p2(f6(f7(c12)),f6(f7(c12))) ),
inference(forward_subsumption_resolution,[],[f624,f14]) ).
fof(f627,plain,
( p2(c13,c10)
| p2(f8(c11,c13),f8(c11,c10))
| p2(f6(f7(c12)),f6(f7(c12))) ),
inference(forward_subsumption_resolution,[],[f626,f14]) ).
fof(f628,plain,
( p2(c13,c10)
| p2(f8(c11,c13),f8(c11,c10)) ),
inference(forward_subsumption_resolution,[],[f627,f13]) ).
fof(f630,definition,
( spl0_9
<=> p2(f8(c11,c13),f8(c11,c10)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f632,plain,
( p2(f8(c11,c13),f8(c11,c10))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f633,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f628,f615,f630]) ).
fof(f706,plain,
( ! [X0] :
( p2(X0,c13)
| p2(X0,c10) )
| ~ spl0_7 ),
inference(resolution,[],[f617,f18]) ).
fof(f722,plain,
( p2(c10,c10)
| ~ spl0_7 ),
inference(resolution,[],[f706,f15]) ).
fof(f723,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f722,f13]) ).
fof(f724,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f891,plain,
( p2(c13,c10)
| p3(c11,c11)
| ~ spl0_9 ),
inference(resolution,[],[f632,f23]) ).
fof(f893,plain,
( p3(c11,c11)
| spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f891,f616]) ).
fof(f894,plain,
( $false
| spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f893,f14]) ).
fof(f895,plain,
( spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f894]) ).
cnf(s12,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f633]) ).
cnf(s13,plain,
~ spl0_7,
inference(sat_conversion,[],[f724]) ).
cnf(s21,plain,
( spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f895]) ).
cnf(s24,plain,
~ spl0_9,
inference(rat,[],[s21,s13]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s12,s24,s13]) ).
fof(f896,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN556-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n016.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:33:19 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.21/0.30 % (3748909)Will run a generic schedule for satisfiability detection.
% 0.21/0.30 % (3748914)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1201077815_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.30 % TRYING [1]
% 0.21/0.30 % TRYING [2]
% 0.21/0.30 % TRYING [3]
% 0.21/0.30 % (3748915)% WARNING: option uhcvi not known.
% 0.21/0.30 % TRYING [4]
% 0.21/0.30 % (3748916)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2206331727:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.30 % (3748915)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=443116490:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.30 % (3748917)dis+10_1_sil=32000:sp=arity:random_seed=135145338:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.30 % (3748918)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=886645986:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.30 % (3748920)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1380887386:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.30 % (3748919)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4202201535:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.30 % TRYING [5]
% 0.21/0.30 % (3748915) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3748909-3748915"...
% 0.21/0.30 % (3748915)...printing done.
% 0.21/0.30 % (3748915)Refutation found. Thanks to Tanya!
% 0.21/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.30 % (3748915)------------------------------
% 0.21/0.30 % (3748915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (3748915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (3748915)CaDiCaL version: 2.1.3
% 0.21/0.30 % (3748915)Termination reason: Refutation
% 0.21/0.30 % (3748915)Time elapsed: 0.030 s
% 0.21/0.30 % (3748915)Peak memory usage: 12 MB
% 0.21/0.30 % (3748915)Instructions burned: 50 (million)
% 0.21/0.30 % (3748909)Success in time 0.067 s
% 0.21/0.30 % Vampire exiting
%------------------------------------------------------------------------------