%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO021_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 02:24:44 PM UTC 2026
% Result : Theorem 2.04s 0.69s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 123 ( 52 equ)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 80 ( 38 ~; 23 |; 16 &)
% ( 2 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 113 ( 73 fml; 40 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 4 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 16 ( 10 !; 6 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $o ).
tff(func_def_3,type,
sK1: $o ).
tff(f1,conjecture,
! [X0: $o,X1: $o] :
( (X0)
& ( (X1)
= ( ~ ( ~ (X0)
| ~ (X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(f2,negated_conjecture,
~ ! [X0: $o,X1: $o] :
( (X0)
& ( (X1)
= ( ~ ( ~ (X0)
| ~ (X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $o,X1: $o] :
( (X0)
& ( (X1)
= ( ~ ( ~ (X0)
| ~ (X1) ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
~ ! [X0: $o,X1: $o] :
( ( ( $true = (X0) )
& ( $true = (X1) ) )
<=> ~ ( ( $true != (X0) )
| ( $true != (X1) ) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
~ ! [X0: $o,X1: $o] :
( ( ( $true = (X0) )
& ( $true = (X1) ) )
<=> ~ ( ( $true != (X0) )
| ( $true != (X1) ) ) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
? [X0: $o,X1: $o] :
( ( ( $true = (X0) )
& ( $true = (X1) ) )
<~> ( ( $true = (X0) )
& ( $true = (X1) ) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
? [X0: $o,X1: $o] :
( ( ( $true != (X0) )
| ( $true != (X1) )
| ( $true != (X0) )
| ( $true != (X1) ) )
& ( ( ( $true = (X0) )
& ( $true = (X1) ) )
| ( ( $true = (X0) )
& ( $true = (X1) ) ) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f8,plain,
? [X0: $o,X1: $o] :
( ( ( $true != (X0) )
| ( $true != (X1) )
| ( $true != (X0) )
| ( $true != (X1) ) )
& ( ( ( $true = (X0) )
& ( $true = (X1) ) )
| ( ( $true = (X0) )
& ( $true = (X1) ) ) ) ),
inference(flattening,[],[f7]) ).
tff(f9,plain,
( ( ( $true != sK0 )
| ( $true != sK1 )
| ( $true != sK0 )
| ( $true != sK1 ) )
& ( ( ( $true = sK0 )
& ( $true = sK1 ) )
| ( ( $true = sK0 )
& ( $true = sK1 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8]) ).
tff(f10,plain,
( ( $true = sK1 )
| ( $true = sK1 ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f13,plain,
( ( $true = sK0 )
| ( $true = sK0 ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f14,plain,
( ( $true != sK0 )
| ( $true != sK1 )
| ( $true != sK0 )
| ( $true != sK1 ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f17,plain,
$true = sK1,
inference(duplicate_literal_removal,[],[f10]) ).
tff(f18,plain,
$true = sK0,
inference(duplicate_literal_removal,[],[f13]) ).
tff(f19,plain,
( ( $true != sK0 )
| ( $true != sK1 ) ),
inference(duplicate_literal_removal,[],[f14]) ).
tff(f20,plain,
$true != sK1,
inference(forward_subsumption_resolution,[],[f19,f18]) ).
tff(f21,plain,
$false,
inference(forward_subsumption_resolution,[],[f20,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYO021_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 17:20:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.04/0.69 % (3527310)Detected formulas, will run a generic FOF schedule.
% 2.04/0.69 % (3527341)dis-21_1_sil=8000:lcm=predicate:random_seed=1162692851:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.04/0.69 % (3527339)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=411114782:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.04/0.69 % (3527337)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=656806840:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.04/0.69 % (3527336)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=642237911:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.04/0.69 % (3527335)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=730667835:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.04/0.69 % (3527338)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=216694246:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.04/0.69 % (3527340)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2195446340:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.04/0.69 % (3527338)Also succeeded, but the first one will report.
% 2.04/0.69 % (3527339)First to succeed.
% 2.04/0.69 % (3527340)Also succeeded, but the first one will report.
% 2.04/0.69 % (3527341)Also succeeded, but the first one will report.
% 2.04/0.69 % (3527339)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3527310"
% 2.04/0.69 % (3527339)Refutation found. Thanks to Tanya!
% 2.04/0.69 % SZS status Theorem for theBenchmark
% 2.04/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.04/0.69 % (3527339)------------------------------
% 2.04/0.69 % (3527339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.04/0.69 % (3527339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.69 % (3527339)CaDiCaL version: 2.1.3
% 2.04/0.69 % (3527339)Termination reason: Refutation
% 2.04/0.69 % (3527339)Time elapsed: 0.001 s
% 2.04/0.69 % (3527339)Peak memory usage: 88 MB
% 2.04/0.69 % (3527339)Instructions burned: 1 (million)
% 2.04/0.69 % (3527339)------------------------------
% 2.04/0.69 % (3527339)------------------------------
% 2.04/0.69 % (3527310)Success in time 0.257 s
% 2.04/0.69 % Vampire exiting
%------------------------------------------------------------------------------