%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN579-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 02:17:38 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.25s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 32 ( 16 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 28 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f3,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_5) ).
fof(f6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_6) ).
fof(f7,negated_conjecture,
p2(c16,f5(c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f9,negated_conjecture,
! [X0] : p3(f6(f5(X0)),f6(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).
fof(f11,negated_conjecture,
! [X0] :
( ~ p9(X0,c13)
| p9(X0,f6(c16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_11) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f6(X0),f6(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_13) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X0)
| p3(X0,X1)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X0)
| p2(X0,X1)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X2,X3)
| ~ p7(X2,X0)
| p9(X0,X1)
| ~ p3(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_20) ).
fof(f22,negated_conjecture,
! [X0,X1] :
( ~ p11(X1,c15)
| p9(f8(X0,X1),f6(X1))
| p9(f8(X0,X1),X0)
| ~ p9(c12,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_22) ).
fof(f23,negated_conjecture,
! [X0,X1] :
( ~ p11(X0,c15)
| ~ p9(c12,X1)
| ~ p9(f8(X1,X0),X1)
| ~ p9(f8(X1,X0),f6(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_23) ).
fof(f24,plain,
p9(c12,f6(c16)),
inference(resolution,[],[f11,f5]) ).
fof(f40,plain,
! [X0,X1] :
( ~ p3(f6(f5(X0)),X1)
| p3(f6(X0),X1) ),
inference(resolution,[],[f17,f9]) ).
fof(f47,plain,
! [X0] :
( ~ p2(c16,X0)
| p2(f5(c14),X0) ),
inference(resolution,[],[f18,f7]) ).
fof(f51,plain,
p2(f5(c14),c16),
inference(resolution,[],[f47,f4]) ).
fof(f55,plain,
p3(f6(f5(c14)),f6(c16)),
inference(resolution,[],[f51,f13]) ).
fof(f58,plain,
! [X0,X1] :
( ~ p3(f6(c16),X1)
| p9(X0,X1)
| ~ p7(c12,X0) ),
inference(resolution,[],[f20,f24]) ).
fof(f66,plain,
! [X0] :
( ~ p9(c12,X0)
| p9(f8(X0,c14),X0)
| p9(f8(X0,c14),f6(c14)) ),
inference(resolution,[],[f22,f6]) ).
fof(f72,plain,
! [X0] :
( ~ p9(f8(X0,c14),X0)
| ~ p9(c12,X0)
| ~ p9(f8(X0,c14),f6(c14)) ),
inference(resolution,[],[f23,f6]) ).
fof(f81,plain,
p3(f6(c14),f6(c16)),
inference(resolution,[],[f40,f55]) ).
fof(f83,plain,
! [X0] :
( ~ p3(f6(c14),X0)
| p3(f6(c16),X0) ),
inference(resolution,[],[f81,f17]) ).
fof(f498,plain,
p3(f6(c16),f6(c14)),
inference(resolution,[],[f83,f3]) ).
fof(f512,plain,
! [X0] :
( ~ p7(c12,X0)
| p9(X0,f6(c14)) ),
inference(resolution,[],[f498,f58]) ).
fof(f532,plain,
p9(c12,f6(c14)),
inference(resolution,[],[f512,f2]) ).
fof(f543,plain,
( p9(f8(f6(c14),c14),f6(c14))
| p9(f8(f6(c14),c14),f6(c14)) ),
inference(resolution,[],[f532,f66]) ).
fof(f545,plain,
p9(f8(f6(c14),c14),f6(c14)),
inference(duplicate_literal_removal,[],[f543]) ).
fof(f571,plain,
( ~ p9(c12,f6(c14))
| ~ p9(f8(f6(c14),c14),f6(c14)) ),
inference(resolution,[],[f545,f72]) ).
fof(f573,plain,
~ p9(f8(f6(c14),c14),f6(c14)),
inference(forward_subsumption_resolution,[],[f571,f532]) ).
fof(f574,plain,
$false,
inference(forward_subsumption_resolution,[],[f573,f545]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN579-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18 % Computer : n003.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
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 16:32:13 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.25 % (1735214)Will run a generic schedule for satisfiability detection.
% 0.10/0.25 % (1735224)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2916303170:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.25 % (1735220)% WARNING: option uhcvi not known.
% 0.10/0.25 % (1735224) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1735214-1735224"...
% 0.10/0.25 % (1735224)...printing done.
% 0.10/0.25 % (1735224)Refutation found. Thanks to Tanya!
% 0.10/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.25 % (1735224)------------------------------
% 0.10/0.25 % (1735224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.25 % (1735224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.25 % (1735224)CaDiCaL version: 2.1.3
% 0.10/0.25 % (1735224)Termination reason: Refutation
% 0.10/0.25 % (1735224)Time elapsed: 0.005 s
% 0.10/0.25 % (1735224)Peak memory usage: 11 MB
% 0.10/0.25 % (1735224)Instructions burned: 13 (million)
% 0.10/0.25 % (1735214)Success in time 0.028 s
% 0.10/0.25 % Vampire exiting
%------------------------------------------------------------------------------