%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 02:06:25 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 15 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 95 ( 41 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ p_1(X0,X1)
| ~ p_2(X1,X2)
| ~ p_3(X2,X3)
| ~ p_4(X3,X4)
| ~ p_5(X4,X5)
| ~ p_6(X5,X6)
| ~ p_7(X6,X7)
| ~ p_8(X7,X8)
| ~ p_9(X8,X9)
| ~ p_10(X9,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjunction) ).
fof(f2,negated_conjecture,
p_1(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_1) ).
fof(f3,negated_conjecture,
p_2(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_2) ).
fof(f4,negated_conjecture,
p_3(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_3) ).
fof(f5,negated_conjecture,
p_4(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4) ).
fof(f6,negated_conjecture,
p_5(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_5) ).
fof(f7,negated_conjecture,
p_6(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_6) ).
fof(f8,negated_conjecture,
p_7(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_7) ).
fof(f9,negated_conjecture,
p_8(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_8) ).
fof(f10,negated_conjecture,
p_9(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_9) ).
fof(f11,negated_conjecture,
p_10(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_10) ).
fof(f12,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ p_10(X9,X0)
| p_2(X1,X2)
| p_3(X2,X3)
| ~ p_4(X3,X4)
| p_5(X4,X5)
| ~ p_6(X5,X6)
| ~ p_7(X6,X7)
| ~ p_8(X7,X8)
| ~ p_9(X8,X9)
| ~ p_1(X0,X1) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f13,plain,
~ p_2(a,a),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f14,plain,
~ p_3(a,a),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f15,plain,
~ p_5(a,a),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p_9(X7,a)
| p_3(X1,X2)
| ~ p_4(X2,X3)
| p_5(X3,X4)
| ~ p_6(X4,X5)
| ~ p_7(X5,X6)
| ~ p_8(X6,X7)
| p_2(X0,X1)
| ~ p_1(a,X0) ),
inference(resolution,[],[f12,f11]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p_8(X5,a)
| ~ p_4(X1,X2)
| p_5(X2,X3)
| ~ p_6(X3,X4)
| ~ p_7(X4,X5)
| p_3(X0,X1)
| p_2(X6,X0)
| ~ p_1(a,X6) ),
inference(resolution,[],[f16,f10]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p_7(X3,a)
| p_5(X1,X2)
| ~ p_6(X2,X3)
| ~ p_4(X0,X1)
| p_3(X4,X0)
| p_2(X5,X4)
| ~ p_1(a,X5) ),
inference(resolution,[],[f17,f9]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4] :
( ~ p_6(X1,a)
| p_5(X0,X1)
| ~ p_4(X2,X0)
| p_3(X3,X2)
| p_2(X4,X3)
| ~ p_1(a,X4) ),
inference(resolution,[],[f18,f8]) ).
fof(f20,plain,
! [X2,X3,X0,X1] :
( ~ p_1(a,X3)
| ~ p_4(X1,X0)
| p_3(X2,X1)
| p_2(X3,X2)
| p_5(X0,a) ),
inference(resolution,[],[f19,f7]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ p_4(X0,X1)
| p_3(X2,X0)
| p_2(a,X2)
| p_5(X1,a) ),
inference(resolution,[],[f20,f2]) ).
fof(f22,plain,
! [X0] :
( p_3(X0,a)
| p_2(a,X0)
| p_5(a,a) ),
inference(resolution,[],[f21,f5]) ).
fof(f23,plain,
! [X0] :
( p_3(X0,a)
| p_2(a,X0) ),
inference(forward_subsumption_resolution,[],[f22,f15]) ).
fof(f24,plain,
p_2(a,a),
inference(resolution,[],[f23,f14]) ).
fof(f25,plain,
$false,
inference(forward_subsumption_resolution,[],[f24,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN005-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n008.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:19:40 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.09/0.24 % (2332092)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (2332099)% WARNING: option uhcvi not known.
% 0.09/0.24 % (2332099)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=581257600:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.24 % (2332099) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2332092-2332099"...
% 0.09/0.24 % (2332099)...printing done.
% 0.09/0.24 % (2332099)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.24 % (2332099)------------------------------
% 0.09/0.24 % (2332099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (2332099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (2332099)CaDiCaL version: 2.1.3
% 0.09/0.24 % (2332099)Termination reason: Refutation
% 0.09/0.24 % (2332099)Time elapsed: 0.002 s
% 0.09/0.24 % (2332099)Peak memory usage: 11 MB
% 0.09/0.24 % (2332099)Instructions burned: 1 (million)
% 0.09/0.24 % (2332092)Success in time 0.034 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------