%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR125_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 09:43:47 AM UTC 2026
% Result : Theorem 0.21s 1.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 13 unt; 0 typ; 1 def)
% Number of atoms : 85 ( 10 equ)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 22 ( 13 ~; 7 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 59 ( 57 fml; 2 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 9 ( 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
num: $tType ).
tff(func_def_5,type,
bG0: $i > $o ).
tff(pred_def_1,type,
holdsDuring_THFTYPE_IiooI: ( $i * $o ) > $o ).
tff(f1,axiom,
likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
tff(f3,axiom,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
tff(f4,conjecture,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f5,negated_conjecture,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
inference(negated_conjecture,[status(cth)],[f4]) ).
tff(f6,definition,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
<=> ( bG0(X0) = $true ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f7,plain,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0(X0)),
inference(fool_elimination,[],[f3,f6]) ).
tff(f8,plain,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
inference(fool_elimination,[],[f5]) ).
tff(f9,plain,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
inference(flattening,[],[f8]) ).
tff(f10,plain,
! [X0: $i] :
( ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ( bG0(X0) != $true ) )
& ( ( bG0(X0) = $true )
| likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f12,plain,
! [X0: $i] :
( ( bG0(X0) != $true )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ),
inference(cnf_transformation,[],[f10]) ).
tff(f13,plain,
likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i),
inference(cnf_transformation,[],[f1]) ).
tff(f15,plain,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0(X0)),
inference(cnf_transformation,[],[f7]) ).
tff(f16,plain,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
inference(cnf_transformation,[],[f9]) ).
tff(f18,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(definition,[],[fool_exhaustiveness_axiom]) ).
tff(f21,plain,
! [X0: $i] :
( ( $true != $true )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ( bG0(X0) = $false ) ),
inference(superposition,[],[f12,f18]) ).
tff(f24,plain,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ( bG0(X0) = $false ) ),
inference(trivial_inequality_removal,[],[f21]) ).
tff(f34,plain,
$false = bG0(lBill_THFTYPE_i),
inference(resolution,[],[f24,f13]) ).
tff(f38,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false),
inference(superposition,[],[f15,f34]) ).
tff(f40,plain,
$false,
inference(forward_subsumption_resolution,[],[f38,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR125_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n004.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 23:35:07 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/1.30 % (894455)Detected formulas, will run a generic FOF schedule.
% 0.21/1.30 % (894569)dis-21_1_sil=8000:lcm=predicate:random_seed=1447625093: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)
% 0.21/1.30 % (894569)Refutation not found, incomplete strategy
% 0.21/1.30 % (894569)------------------------------
% 0.21/1.30 % (894569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (894569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (894569)CaDiCaL version: 2.1.3
% 0.21/1.30 % (894569)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.30 % (894569)Time elapsed: 0.001 s
% 0.21/1.30 % (894569)Peak memory usage: 88 MB
% 0.21/1.30 % (894567)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=609291753:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.21/1.30 % (894568)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3860859243:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.21/1.30 % (894565)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=2086160:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.21/1.30 % (894563)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=1270005237:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.21/1.30 % (894564)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=2790595704:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.21/1.30 % (894567)Refutation not found, incomplete strategy
% 0.21/1.30 % (894567)------------------------------
% 0.21/1.30 % (894567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (894567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (894567)CaDiCaL version: 2.1.3
% 0.21/1.30 % (894567)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.30 % (894567)Time elapsed: 0.001 s
% 0.21/1.30 % (894567)Peak memory usage: 87 MB
% 0.21/1.30 % (894568)First to succeed.
% 0.21/1.30 % (894568)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-894455"
% 0.21/1.30 % (894566)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3173250736:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.21/1.30 % (894566)Refutation not found, incomplete strategy
% 0.21/1.30 % (894566)------------------------------
% 0.21/1.30 % (894566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (894566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (894566)CaDiCaL version: 2.1.3
% 0.21/1.30 % (894566)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.30 % (894566)Time elapsed: 0.002 s
% 0.21/1.30 % (894566)Peak memory usage: 88 MB
% 0.21/1.30 % (894569)------------------------------
% 0.21/1.30 % (894569)------------------------------
% 0.21/1.30 % (894568)Refutation found. Thanks to Tanya!
% 0.21/1.30 % SZS status Theorem for theBenchmark
% 0.21/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.30 % (894568)------------------------------
% 0.21/1.30 % (894568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (894568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (894568)CaDiCaL version: 2.1.3
% 0.21/1.30 % (894568)Termination reason: Refutation
% 0.21/1.30 % (894568)Time elapsed: 0.002 s
% 0.21/1.30 % (894568)Peak memory usage: 89 MB
% 0.21/1.30 % (894568)Instructions burned: 1 (million)
% 0.21/1.30 % (894568)------------------------------
% 0.21/1.30 % (894568)------------------------------
% 0.21/1.30 % (894455)Success in time 0.416 s
% 0.21/1.30 % Vampire exiting
%------------------------------------------------------------------------------