%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO085^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 : Wed Sep 30 08:46:35 AM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 175 ( 48 equ)
% Maximal formula atoms : 10 ( 10 avg)
% Number of connectives : 102 ( 39 ~; 33 |; 26 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 96 ( 96 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 5 usr; 7 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
d: $o ).
tff(func_def_1,type,
c: $o ).
tff(func_def_2,type,
b: $o ).
tff(func_def_3,type,
a: $o ).
tff(func_def_4,type,
s: $o ).
tff(f1,conjecture,
( ( s
| ~ ( b
& a )
| ~ ( d
& c ) )
=> ( ~ ( d
& c )
| ~ ( b
& a )
| s ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCOM_DMG02) ).
tff(f2,negated_conjecture,
~ ( ( s
| ~ ( b
& a )
| ~ ( d
& c ) )
=> ( ~ ( d
& c )
| ~ ( b
& a )
| s ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( s
| ~ ( b
& a )
| ~ ( d
& c ) )
=> ( ~ ( d
& c )
| ~ ( b
& a )
| s ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ( ( ( s = $true )
| ~ ( ( b = $true )
& ( a = $true ) )
| ~ ( ( d = $true )
& ( c = $true ) ) )
=> ( ~ ( ( d = $true )
& ( c = $true ) )
| ~ ( ( b = $true )
& ( a = $true ) )
| ( s = $true ) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
( ( d = $true )
& ( c = $true )
& ( b = $true )
& ( a = $true )
& ( s != $true )
& ( ( s = $true )
| ( b != $true )
| ( a != $true )
| ( d != $true )
| ( c != $true ) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f6,plain,
( ( d = $true )
& ( c = $true )
& ( b = $true )
& ( a = $true )
& ( s != $true )
& ( ( s = $true )
| ( b != $true )
| ( a != $true )
| ( d != $true )
| ( c != $true ) ) ),
inference(flattening,[],[f5]) ).
tff(f7,plain,
( ( s = $true )
| ( b != $true )
| ( a != $true )
| ( d != $true )
| ( c != $true ) ),
inference(cnf_transformation,[],[f6]) ).
tff(f8,plain,
s != $true,
inference(cnf_transformation,[],[f6]) ).
tff(f9,plain,
a = $true,
inference(cnf_transformation,[],[f6]) ).
tff(f10,plain,
b = $true,
inference(cnf_transformation,[],[f6]) ).
tff(f11,plain,
c = $true,
inference(cnf_transformation,[],[f6]) ).
tff(f12,plain,
d = $true,
inference(cnf_transformation,[],[f6]) ).
tff(f15,plain,
( ( s = $true )
| ( $true != $true )
| ( $true != $true )
| ( $true != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f7,f10,f9,f12,f11]) ).
tff(f16,plain,
( ( s = $true )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f15]) ).
tff(f17,plain,
s = $true,
inference(trivial_inequality_removal,[],[f16]) ).
tff(f18,plain,
$false,
inference(forward_subsumption_resolution,[],[f8,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO085^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n016.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 16:38:05 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.28 % (572671)Detected formulas, will run a generic FOF schedule.
% 0.20/0.28 % (572679)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=230485056:st=5:i=107:sd=1:ss=included:er=filter_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/0.28 % (572679) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-572671-572679"...
% 0.20/0.28 % (572679)...printing done.
% 0.20/0.28 % (572679)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (572679)------------------------------
% 0.20/0.28 % (572679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (572679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (572679)CaDiCaL version: 2.1.3
% 0.20/0.28 % (572679)Termination reason: Refutation
% 0.20/0.28 % (572679)Time elapsed: 0.001 s
% 0.20/0.28 % (572679)Peak memory usage: 12 MB
% 0.20/0.28 % (572671)Success in time 0.029 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------