%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN090-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 02:06:45 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 25
% Syntax : Number of formulae : 26 ( 4 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 87 ( 44 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 25 ( 24 usr; 25 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ p_0
| ~ q_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_goal_1) ).
fof(f2,axiom,
( p_0
| ~ p_1
| ~ p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_1) ).
fof(f4,axiom,
( p_1
| ~ p_2
| ~ p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_3) ).
fof(f6,axiom,
( p_2
| ~ p_3
| ~ p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_5) ).
fof(f8,axiom,
( p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_7) ).
fof(f10,axiom,
( p_4
| ~ p_5
| ~ p_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_9) ).
fof(f12,axiom,
( p_5
| ~ p_6
| ~ p_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_11) ).
fof(f14,axiom,
( p_6
| ~ p_7
| ~ p_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_13) ).
fof(f16,axiom,
( p_7
| ~ p_8
| ~ p_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_15) ).
fof(f18,axiom,
( p_8
| ~ p_9
| ~ p_10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_17) ).
fof(f20,axiom,
( p_9
| ~ p_10
| ~ p_11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_19) ).
fof(f22,axiom,
( p_10
| ~ p_11
| ~ p_12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_21) ).
fof(f24,axiom,
( p_11
| ~ p_12
| ~ p_13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_23) ).
fof(f26,axiom,
( p_12
| ~ p_13
| ~ p_14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_25) ).
fof(f28,axiom,
( p_13
| ~ p_14
| ~ p_15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type11_27) ).
fof(f30,axiom,
( q_0
| ~ p_1
| ~ q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_1) ).
fof(f34,axiom,
( q_2
| ~ p_3
| ~ q_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_5) ).
fof(f38,axiom,
( q_4
| ~ p_5
| ~ q_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_9) ).
fof(f42,axiom,
( q_6
| ~ p_7
| ~ q_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_13) ).
fof(f46,axiom,
( q_8
| ~ p_9
| ~ q_10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_17) ).
fof(f50,axiom,
( q_10
| ~ p_11
| ~ q_12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_21) ).
fof(f54,axiom,
( q_12
| ~ p_13
| ~ q_14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_type12_25) ).
fof(f62,axiom,
p_14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_1) ).
fof(f63,axiom,
p_15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_2) ).
fof(f64,axiom,
q_14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_3) ).
fof(f105,plain,
$false,
inference(global_subsumption,[],[f1,f2,f4,f6,f8,f10,f12,f14,f16,f18,f20,f22,f24,f26,f28,f30,f34,f38,f42,f46,f50,f54,f62,f63,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN090-1.008 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n002.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 15:36:22 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.25 % (457011)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (457018)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3389280549:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.25 % (457018) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-457011-457018"...
% 0.08/0.25 % (457018)...printing done.
% 0.08/0.25 % (457017)% WARNING: option uhcvi not known.
% 0.08/0.25 % (457018)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (457018)------------------------------
% 0.08/0.25 % (457018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (457018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (457018)CaDiCaL version: 2.1.3
% 0.08/0.25 % (457018)Termination reason: Refutation
% 0.08/0.25 % (457018)Time elapsed: 0.001 s
% 0.08/0.25 % (457018)Peak memory usage: 11 MB
% 0.08/0.25 % (457018)Instructions burned: 2 (million)
% 0.08/0.25 % (457011)Success in time 0.033 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------