%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN705-1 : 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 : n009.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 02:17:55 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 11 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
fof(f20,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
fof(f51,negated_conjecture,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p47_51) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p47(X2,X3)
| p47(X0,X1)
| ~ p7(X3,X1)
| ~ p4(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_53) ).
fof(f58,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3))
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).
fof(f74,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p47(f5(c48,f13(f16(f18(c50,X0),X2),X3)),X1)
| p47(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_74) ).
fof(f75,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p47(f20(f22(f24(f26(c56,X0),X2),X3),X4),X1)
| p47(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_75) ).
fof(f76,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p47(X0,X3)
| p47(f5(c48,f13(f16(f18(c50,X0),X1),X2)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_76) ).
fof(f77,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_77) ).
fof(f80,negated_conjecture,
! [X2,X3,X0,X1] : p3(f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3),f13(f16(f18(c50,f20(f22(f24(f26(c56,X0),X1),X2),X3)),f30(f32(f34(f36(c57,X0),X1),X2),X3)),f40(f42(f44(f46(c58,X0),X1),X2),X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_80) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ p3(X1,X2)
| p4(f5(X0,X1),f5(X0,X2)) ),
inference(resolution,[],[f58,f20]) ).
fof(f147,plain,
! [X0,X1] :
( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0)
| ~ p7(c55,X1)
| p47(X0,X1) ),
inference(resolution,[],[f77,f53]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X4] : p4(f5(X0,f8(f10(c49,f13(f16(f18(c50,X1),X2),X3)),X4)),f5(X0,f13(f16(f18(c50,f20(f22(f24(f26(c56,X1),X2),X3),X4)),f30(f32(f34(f36(c57,X1),X2),X3),X4)),f40(f42(f44(f46(c58,X1),X2),X3),X4)))),
inference(resolution,[],[f80,f114]) ).
fof(f169,plain,
! [X0] :
( ~ p7(c55,X0)
| p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),X0) ),
inference(resolution,[],[f150,f147]) ).
fof(f175,plain,
p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55),
inference(resolution,[],[f169,f3]) ).
fof(f178,plain,
p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55),
inference(resolution,[],[f175,f74]) ).
fof(f186,plain,
p47(c51,c55),
inference(resolution,[],[f178,f75]) ).
fof(f191,plain,
! [X0,X1] : p47(f5(c48,f13(f16(f18(c50,c51),X0),X1)),c55),
inference(resolution,[],[f186,f76]) ).
fof(f203,plain,
$false,
inference(resolution,[],[f191,f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN705-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n009.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 16:48:30 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 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
% 0.20/0.28 % (3210680)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (3210686)% WARNING: option uhcvi not known.
% 0.20/0.28 % (3210686)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2512151976:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (3210685)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1921495605_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % (3210690)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1680783501:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (3210687)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1190049600:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (3210689)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=358426385:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (3210688)dis+10_1_sil=32000:sp=arity:random_seed=3366226016:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (3210691)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=217760010:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (3210690) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3210680-3210690"...
% 0.20/0.28 % (3210690)...printing done.
% 0.20/0.28 % TRYING [1]
% 0.20/0.28 % (3210690)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (3210690)------------------------------
% 0.20/0.28 % (3210690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (3210690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (3210690)CaDiCaL version: 2.1.3
% 0.20/0.28 % (3210690)Termination reason: Refutation
% 0.20/0.28 % (3210690)Time elapsed: 0.005 s
% 0.20/0.28 % (3210690)Peak memory usage: 11 MB
% 0.20/0.28 % (3210690)Instructions burned: 6 (million)
% 0.20/0.28 % (3210680)Success in time 0.045 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------