%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN713-1 : 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 : n013.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 02:17:57 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
fof(f14,negated_conjecture,
! [X0] : p40(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p40_14) ).
fof(f34,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_34) ).
fof(f35,negated_conjecture,
p59(f38(c72,c77),f35(c73,c68)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p59_35) ).
fof(f38,negated_conjecture,
p56(f11(c65,f14(f17(c66,c67),c68)),c64),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p56_38) ).
fof(f39,negated_conjecture,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p57_39) ).
fof(f74,negated_conjecture,
! [X2,X0,X1] :
( ~ p57(f26(X0,X1),X2)
| p57(f26(f28(c71,X0),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_74) ).
fof(f76,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p56(X3,X2)
| ~ p40(X2,X1)
| p56(X0,X1)
| ~ p4(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p56_76) ).
fof(f80,negated_conjecture,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p58_80) ).
fof(f81,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p12(X0,X2)
| p10(f14(X0,X1),f14(X2,X3))
| ~ p13(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_81) ).
fof(f87,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X0,X2)
| ~ p10(X1,X3)
| p4(f11(X0,X1),f11(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_87) ).
fof(f101,negated_conjecture,
! [X2,X0,X1] :
( ~ p56(f11(c65,f14(f17(c66,X1),f23(c74,X2))),X0)
| p57(f26(f41(c78,X0),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_101) ).
fof(f105,negated_conjecture,
! [X0,X1] :
( ~ p59(f38(c72,X1),f35(c73,X0))
| p58(f31(f33(c75,c76),f23(c69,X1)),f19(f22(c70,c69),X0))
| p13(X0,f23(c74,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_105) ).
fof(f142,plain,
! [X0,X1] :
( ~ p4(f11(c65,f14(f17(c66,c67),c68)),X1)
| p56(X1,X0)
| ~ p40(c64,X0) ),
inference(resolution,[],[f76,f38]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ p13(X1,X2)
| p10(f14(X0,X1),f14(X0,X2)) ),
inference(resolution,[],[f81,f34]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ p10(X0,X1)
| p4(f11(X2,X0),f11(X2,X1)) ),
inference(resolution,[],[f87,f2]) ).
fof(f201,plain,
( p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68))
| p13(c68,f23(c74,c77)) ),
inference(resolution,[],[f105,f35]) ).
fof(f202,plain,
p13(c68,f23(c74,c77)),
inference(forward_subsumption_resolution,[],[f201,f80]) ).
fof(f207,plain,
! [X0] : p10(f14(X0,c68),f14(X0,f23(c74,c77))),
inference(resolution,[],[f202,f146]) ).
fof(f223,plain,
! [X0,X1] : p4(f11(X0,f14(X1,c68)),f11(X0,f14(X1,f23(c74,c77)))),
inference(resolution,[],[f207,f162]) ).
fof(f280,plain,
! [X0] :
( ~ p40(c64,X0)
| p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),X0) ),
inference(resolution,[],[f223,f142]) ).
fof(f350,plain,
p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),c64),
inference(resolution,[],[f280,f14]) ).
fof(f351,plain,
p57(f26(f41(c78,c64),c67),c77),
inference(resolution,[],[f350,f101]) ).
fof(f355,plain,
p57(f26(f28(c71,f41(c78,c64)),c67),c77),
inference(resolution,[],[f351,f74]) ).
fof(f357,plain,
$false,
inference(forward_subsumption_resolution,[],[f355,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN713-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18 % Computer : n013.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 16:48:07 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 0.19/0.26 % (1321930)Will run a generic schedule for satisfiability detection.
% 0.19/0.26 % (1321943)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1779599337:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.26 % (1321940)% WARNING: option uhcvi not known.
% 0.19/0.26 % (1321939)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1002233074_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.26 % (1321940)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2186491807:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.26 % (1321942)dis+10_1_sil=32000:sp=arity:random_seed=112544580:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.26 % (1321941)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1199884538:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.26 % (1321945)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=32879454:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.26 % (1321944)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=787353879:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.26 % (1321944) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1321930-1321944"...
% 0.19/0.26 % TRYING [1]
% 0.19/0.26 % TRYING [2]
% 0.19/0.26 % (1321944)...printing done.
% 0.19/0.26 % (1321944)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26 % (1321944)------------------------------
% 0.19/0.26 % (1321944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (1321944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (1321944)CaDiCaL version: 2.1.3
% 0.19/0.26 % (1321944)Termination reason: Refutation
% 0.19/0.26 % (1321944)Time elapsed: 0.007 s
% 0.19/0.26 % (1321944)Peak memory usage: 11 MB
% 0.19/0.26 % (1321944)Instructions burned: 9 (million)
% 0.19/0.26 % (1321930)Success in time 0.032 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------