%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN652-1 : 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 : n006.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 02:17:49 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
fof(f14,negated_conjecture,
! [X0] : p14(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_14) ).
fof(f16,negated_conjecture,
p4(c34,f5(c35,c32)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_16) ).
fof(f17,negated_conjecture,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_17) ).
fof(f18,negated_conjecture,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_18) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(X2,X0)
| p4(X0,X1)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_23) ).
fof(f34,negated_conjecture,
! [X0,X1] : p4(f15(f17(c36,X0),f5(c35,X1)),f5(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_34) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p14(X0,X2)
| p4(f15(X0,X1),f15(X2,X3))
| ~ p4(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_41) ).
fof(f46,negated_conjecture,
! [X0,X1] :
( ~ p27(f8(f10(c28,f13(c29,c30)),X0),X1)
| p4(f5(c31,X0),f5(c31,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_46) ).
fof(f53,plain,
! [X0] :
( ~ p4(c34,X0)
| p4(f5(c35,c32),X0) ),
inference(resolution,[],[f23,f16]) ).
fof(f56,plain,
p4(f5(c35,c32),c34),
inference(resolution,[],[f53,f5]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ p4(f15(f17(c36,X0),f5(c35,X1)),X2)
| p4(f5(X0,X1),X2) ),
inference(resolution,[],[f34,f23]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ p4(X1,X2)
| p4(f15(X0,X1),f15(X0,X2)) ),
inference(resolution,[],[f41,f14]) ).
fof(f85,plain,
! [X0] : p4(f15(X0,f5(c35,c32)),f15(X0,c34)),
inference(resolution,[],[f80,f56]) ).
fof(f95,plain,
p4(f5(c31,c32),f5(c31,c33)),
inference(resolution,[],[f46,f17]) ).
fof(f97,plain,
! [X0] :
( ~ p4(f5(c31,c32),X0)
| p4(f5(c31,c33),X0) ),
inference(resolution,[],[f95,f23]) ).
fof(f104,plain,
! [X0] : p4(f5(X0,c32),f15(f17(c36,X0),c34)),
inference(resolution,[],[f69,f85]) ).
fof(f116,plain,
p4(f5(c31,c33),f15(f17(c36,c31),c34)),
inference(resolution,[],[f97,f104]) ).
fof(f118,plain,
$false,
inference(forward_subsumption_resolution,[],[f116,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n006.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
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:39:25 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 0.08/0.26 % (4104502)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (4104508)% WARNING: option uhcvi not known.
% 0.08/0.26 % (4104508)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2480260159:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (4104507)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2085948757_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % (4104509)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3977040662:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (4104510)dis+10_1_sil=32000:sp=arity:random_seed=589252582:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (4104511)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3773389172:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (4104513)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4069176340:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.26 % (4104512)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2547547482:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26 % (4104512) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4104502-4104512"...
% 0.08/0.26 % TRYING [1]
% 0.08/0.26 % TRYING [2]
% 0.08/0.26 % (4104512)...printing done.
% 0.08/0.26 % TRYING [3]
% 0.08/0.26 % (4104512)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (4104512)------------------------------
% 0.08/0.26 % (4104512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (4104512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (4104512)CaDiCaL version: 2.1.3
% 0.08/0.26 % (4104512)Termination reason: Refutation
% 0.08/0.26 % (4104512)Time elapsed: 0.003 s
% 0.08/0.26 % (4104512)Peak memory usage: 11 MB
% 0.08/0.26 % (4104512)Instructions burned: 3 (million)
% 0.08/0.26 % (4104502)Success in time 0.048 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------