%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM756_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:25:37 PM UTC 2026
% Result : Theorem 0.14s 0.44s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 15 unt; 0 typ; 2 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 105 ( 53 ~; 32 |; 4 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
frac: $tType ).
tff(func_def_0,type,
x: frac ).
tff(func_def_1,type,
y: frac ).
tff(func_def_2,type,
z: frac ).
tff(func_def_3,type,
pf: ( frac * frac ) > frac ).
tff(pred_def_1,type,
eq: ( frac * frac ) > $o ).
tff(pred_def_2,type,
lessf: ( frac * frac ) > $o ).
tff(pred_def_3,type,
moref: ( frac * frac ) > $o ).
tff(f1,axiom,
eq(pf(x,z),pf(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e) ).
tff(f3,axiom,
! [X0: frac,X1: frac] :
~ ( ( eq(X0,X1)
=> ~ moref(X0,X1) )
=> ~ ~ ( ( moref(X0,X1)
=> ~ lessf(X0,X1) )
=> ~ ( lessf(X0,X1)
=> ~ eq(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz41b) ).
tff(f4,axiom,
! [X0: frac,X1: frac,X2: frac] :
( lessf(X0,X1)
=> lessf(pf(X0,X2),pf(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz62c) ).
tff(f5,axiom,
! [X0: frac,X1: frac] :
( ~ eq(X0,X1)
=> ( ~ moref(X0,X1)
=> lessf(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz41a) ).
tff(f6,axiom,
! [X0: frac,X1: frac,X2: frac] :
( moref(X0,X1)
=> moref(pf(X0,X2),pf(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz62a) ).
tff(f7,conjecture,
eq(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz63b) ).
tff(f8,negated_conjecture,
~ eq(x,y),
inference(negated_conjecture,[status(cth)],[f7]) ).
tff(f11,plain,
! [X0: frac,X1: frac] :
~ ( ( eq(X0,X1)
=> ~ moref(X0,X1) )
=> ( ( moref(X0,X1)
=> ~ lessf(X0,X1) )
=> ~ ( lessf(X0,X1)
=> ~ eq(X0,X1) ) ) ),
inference(flattening,[],[f3]) ).
tff(f12,plain,
~ eq(x,y),
inference(flattening,[],[f8]) ).
tff(f14,plain,
! [X0: frac,X1: frac] :
( ( ~ eq(X0,X1)
| ~ lessf(X0,X1) )
& ( ~ lessf(X0,X1)
| ~ moref(X0,X1) )
& ( ~ moref(X0,X1)
| ~ eq(X0,X1) ) ),
inference(ennf_transformation,[],[f11]) ).
tff(f15,plain,
! [X0: frac,X1: frac] :
( ( ~ eq(X0,X1)
| ~ lessf(X0,X1) )
& ( ~ lessf(X0,X1)
| ~ moref(X0,X1) )
& ( ~ moref(X0,X1)
| ~ eq(X0,X1) ) ),
inference(flattening,[],[f14]) ).
tff(f16,plain,
! [X0: frac,X1: frac,X2: frac] :
( lessf(pf(X0,X2),pf(X1,X2))
| ~ lessf(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
tff(f17,plain,
! [X0: frac,X1: frac] :
( lessf(X0,X1)
| moref(X0,X1)
| eq(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
tff(f18,plain,
! [X0: frac,X1: frac] :
( lessf(X0,X1)
| moref(X0,X1)
| eq(X0,X1) ),
inference(flattening,[],[f17]) ).
tff(f19,plain,
! [X0: frac,X1: frac,X2: frac] :
( moref(pf(X0,X2),pf(X1,X2))
| ~ moref(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
tff(f20,plain,
eq(pf(x,z),pf(y,z)),
inference(cnf_transformation,[],[f1]) ).
tff(f21,plain,
! [X0: frac,X1: frac] :
( ~ lessf(X0,X1)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tff(f23,plain,
! [X0: frac,X1: frac] :
( ~ eq(X0,X1)
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tff(f24,plain,
! [X2: frac,X0: frac,X1: frac] :
( lessf(pf(X0,X2),pf(X1,X2))
| ~ lessf(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tff(f25,plain,
! [X0: frac,X1: frac] :
( eq(X0,X1)
| moref(X0,X1)
| lessf(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f26,plain,
! [X2: frac,X0: frac,X1: frac] :
( ~ moref(X0,X1)
| moref(pf(X0,X2),pf(X1,X2)) ),
inference(cnf_transformation,[],[f19]) ).
tff(f27,plain,
~ eq(x,y),
inference(cnf_transformation,[],[f12]) ).
tff(f28,plain,
~ eq(pf(x,z),pf(y,z)),
inference(consistent_polarity_flipping,[],[f20]) ).
tff(f29,plain,
! [X0: frac,X1: frac] :
( ~ moref(X0,X1)
| eq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f23]) ).
tff(f30,plain,
! [X0: frac,X1: frac] :
( ~ lessf(X0,X1)
| eq(X0,X1) ),
inference(consistent_polarity_flipping,[],[f21]) ).
tff(f31,plain,
! [X0: frac,X1: frac] :
( ~ eq(X0,X1)
| moref(X0,X1)
| lessf(X0,X1) ),
inference(consistent_polarity_flipping,[],[f25]) ).
tff(f32,plain,
eq(x,y),
inference(consistent_polarity_flipping,[],[f27]) ).
tff(f33,plain,
( moref(x,y)
| lessf(x,y) ),
inference(resolution,[],[f31,f32]) ).
tff(f35,definition,
( spl0_1
<=> lessf(x,y) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f37,plain,
( lessf(x,y)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f35]) ).
tff(f39,definition,
( spl0_2
<=> moref(x,y) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f41,plain,
( moref(x,y)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f39]) ).
tff(f42,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f33,f39,f35]) ).
tff(f46,plain,
! [X2: frac,X0: frac,X1: frac] :
( eq(pf(X0,X2),pf(X1,X2))
| ~ lessf(X0,X1) ),
inference(resolution,[],[f24,f30]) ).
tff(f47,plain,
( ! [X0: frac] : moref(pf(x,X0),pf(y,X0))
| ~ spl0_2 ),
inference(resolution,[],[f26,f41]) ).
tff(f49,plain,
( ! [X0: frac] : eq(pf(x,X0),pf(y,X0))
| ~ spl0_2 ),
inference(resolution,[],[f47,f29]) ).
tff(f51,plain,
( $false
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[],[f28,f49]) ).
tff(f53,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f51]) ).
tff(f55,plain,
~ lessf(x,y),
inference(resolution,[],[f46,f28]) ).
tff(f57,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f55,f37]) ).
tff(f58,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f57]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f42]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f53]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f58]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
tff(f59,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM756_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 21:21:12 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 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
% 0.14/0.44 % (3211776)Will run a generic schedule for satisfiability detection.
% 0.14/0.44 % (3211782)% WARNING: option uhcvi not known.
% 0.14/0.44 % (3211781)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1428272841_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.44 % (3211782)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3659831528:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.44 % (3211783)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=138892584:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.44 % (3211784)dis+10_1_sil=32000:sp=arity:random_seed=1712531164:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.44 % (3211785)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2934095886:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.44 % (3211786)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=320560093:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.44 % (3211787)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2532150512:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.44 % Detected minimum model sizes of [1,1]
% 0.14/0.44 % Detected maximum model sizes of [max,2]
% 0.14/0.44 % TRYING [1,1]
% 0.14/0.44 % TRYING [1,2]
% 0.14/0.44 % (3211785) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3211776-3211785"...
% 0.14/0.44 % TRYING [2,2]
% 0.14/0.44 % (3211782) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3211776-3211782"...
% 0.14/0.44 % TRYING [3,2]
% 0.14/0.44 % (3211784) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3211776-3211784"...
% 0.14/0.44 % TRYING [4,2]
% 0.14/0.44 % (3211785)...printing done.
% 0.14/0.44 % (3211782)...printing done.
% 0.14/0.44 % TRYING [5,2]
% 0.14/0.44 % (3211784)...printing done.
% 0.14/0.44 % (3211783) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3211776-3211783"...
% 0.14/0.44 % (3211783)...printing done.
% 0.14/0.44 % (3211782)Refutation found. Thanks to Tanya!
% 0.14/0.44 % SZS status Theorem for theBenchmark
% 0.14/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.44 % (3211782)------------------------------
% 0.14/0.44 % (3211782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.44 % (3211782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.44 % (3211782)CaDiCaL version: 2.1.3
% 0.14/0.44 % (3211782)Termination reason: Refutation
% 0.14/0.44 % (3211782)Time elapsed: 0.002 s
% 0.14/0.44 % (3211782)Peak memory usage: 12 MB
% 0.14/0.44 % (3211782)Instructions burned: 2 (million)
% 0.14/0.44 % (3211776)Success in time 0.036 s
% 0.14/0.44 % Vampire exiting
%------------------------------------------------------------------------------