%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR148_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:46:06 AM UTC 2026
% Result : Theorem 0.10s 0.30s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 56 ( 21 unt; 0 typ; 6 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 100 ( 52 ~; 39 |; 0 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 77 ( 71 fml; 6 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 12 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 36 ( 0 sgn 32 !; 4 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
num: $tType ).
tff(pred_def_1,type,
holdsDuring_THFTYPE_IiooI: ( $i * $o ) > $o ).
tff(f1,axiom,
likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
tff(f2,axiom,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
! [X0: $i] :
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
tff(f3,axiom,
! [X0: $o,X1: $i] :
( (X0)
=> holdsDuring_THFTYPE_IiooI(X1,(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
tff(f4,conjecture,
? [X0: $i,X1: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f5,negated_conjecture,
~ ? [X0: $i,X1: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)),
inference(negated_conjecture,[status(cth)],[f4]) ).
tff(f6,plain,
! [X0: $o,X1: $i] :
( (X0)
=> holdsDuring_THFTYPE_IiooI(X1,(X0)) ),
inference(rectify,[],[f3]) ).
tff(f7,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )),
inference(ennf_transformation,[],[f2]) ).
tff(f8,plain,
! [X0: $o,X1: $i] :
( holdsDuring_THFTYPE_IiooI(X1,(X0))
| ~ (X0) ),
inference(ennf_transformation,[],[f6]) ).
tff(f9,plain,
! [X0: $i,X1: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)),
inference(ennf_transformation,[],[f5]) ).
tff(f10,plain,
likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
inference(cnf_transformation,[],[f1]) ).
tff(f11,plain,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
inference(cnf_transformation,[],[f7]) ).
tff(f14,plain,
! [X1: $i] : holdsDuring_THFTYPE_IiooI(X1,$true),
inference(cnf_transformation,[],[f8]) ).
tff(f15,plain,
! [X0: $i,X1: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$true) ),
inference(cnf_transformation,[],[f9]) ).
tff(f16,plain,
! [X0: $i,X1: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$false) ),
inference(cnf_transformation,[],[f9]) ).
tff(f19,plain,
~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
inference(consistent_polarity_flipping,[],[f10]) ).
tff(f22,plain,
! [X0: $i] :
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
inference(consistent_polarity_flipping,[],[f11]) ).
tff(f23,plain,
! [X0: $i,X1: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$false) ),
inference(consistent_polarity_flipping,[],[f16]) ).
tff(f24,plain,
! [X0: $i,X1: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$true) ),
inference(consistent_polarity_flipping,[],[f15]) ).
tff(f26,definition,
( spl1_1
<=> ! [X1: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$true) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f27,plain,
( ! [X1: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$true)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f26]) ).
tff(f29,definition,
( spl1_2
<=> ! [X0: $i] : likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f30,plain,
( ! [X0: $i] : likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f29]) ).
tff(f31,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f24,f29,f26]) ).
tff(f33,definition,
( spl1_3
<=> ! [X1: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$false) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f34,plain,
( ! [X1: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$false)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f36,definition,
( spl1_4
<=> ! [X0: $i] : ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f37,plain,
( ! [X0: $i] : ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f36]) ).
tff(f38,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f23,f36,f33]) ).
tff(f40,definition,
( spl1_5
<=> holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
tff(f42,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f40]) ).
tff(f44,definition,
( spl1_6
<=> ! [X0: $i] :
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
tff(f45,plain,
( ! [X0: $i] :
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f44]) ).
tff(f46,plain,
( spl1_5
| spl1_6 ),
inference(avatar_split_clause,[],[f22,f44,f40]) ).
tff(f61,plain,
( $false
| ~ spl1_3
| ~ spl1_5 ),
inference(forward_subsumption_resolution,[],[f42,f34]) ).
tff(f62,plain,
( ~ spl1_3
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f61]) ).
tff(f63,plain,
( ! [X0: $i] : likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ~ spl1_2
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f45,f30]) ).
tff(f64,plain,
( $false
| ~ spl1_2
| ~ spl1_6 ),
inference(backward_subsumption_resolution,[],[f19,f63]) ).
tff(f65,plain,
( ~ spl1_2
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f64]) ).
tff(f66,plain,
( $false
| ~ spl1_1 ),
inference(forward_subsumption_resolution,[],[f27,f14]) ).
tff(f67,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f66]) ).
tff(f68,plain,
( $false
| ~ spl1_2
| ~ spl1_4 ),
inference(forward_subsumption_resolution,[],[f37,f30]) ).
tff(f69,plain,
( ~ spl1_2
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f68]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f31]) ).
cnf(s2,plain,
( spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f38]) ).
cnf(s3,plain,
( spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f46]) ).
cnf(s6,plain,
( ~ spl1_3
| ~ spl1_5 ),
inference(sat_conversion,[],[f62]) ).
cnf(s7,plain,
( ~ spl1_2
| ~ spl1_6 ),
inference(sat_conversion,[],[f65]) ).
cnf(s8,plain,
~ spl1_1,
inference(sat_conversion,[],[f67]) ).
cnf(s9,plain,
( ~ spl1_2
| ~ spl1_4 ),
inference(sat_conversion,[],[f69]) ).
cnf(s10,plain,
spl1_2,
inference(rat,[],[s1,s8]) ).
cnf(s11,plain,
~ spl1_4,
inference(rat,[],[s9,s10]) ).
cnf(s12,plain,
~ spl1_6,
inference(rat,[],[s7,s10]) ).
cnf(s13,plain,
spl1_3,
inference(rat,[],[s2,s11]) ).
cnf(s14,plain,
spl1_5,
inference(rat,[],[s3,s12]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s6,s14,s13]) ).
tff(f70,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR148_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n004.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 23:37:52 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26 Running first-order model finding
% 0.10/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % (901749)Will run a generic schedule for satisfiability detection.
% 0.10/0.30 % (901755)% WARNING: option uhcvi not known.
% 0.10/0.30 % (901755)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2508339880:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.10/0.30 % (901755) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-901749-901755"...
% 0.10/0.30 % (901755)...printing done.
% 0.10/0.30 % (901755)Refutation found. Thanks to Tanya!
% 0.10/0.30 % SZS status Theorem for theBenchmark
% 0.10/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.30 % (901755)------------------------------
% 0.10/0.30 % (901755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.30 % (901755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.30 % (901755)CaDiCaL version: 2.1.3
% 0.10/0.30 % (901755)Termination reason: Refutation
% 0.10/0.30 % (901755)Time elapsed: 0.002 s
% 0.10/0.30 % (901755)Peak memory usage: 12 MB
% 0.10/0.30 % (901755)Instructions burned: 1 (million)
% 0.10/0.30 % (901749)Success in time 0.025 s
% 0.10/0.30 % Vampire exiting
%------------------------------------------------------------------------------