%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX074_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 01:46:26 PM UTC 2026
% Result : Theorem 0.08s 0.24s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 37 ( 10 unt; 0 typ; 1 def)
% Number of atoms : 178 ( 66 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 199 ( 58 ~; 50 |; 81 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-1 aty)
% Number of variables : 74 ( 46 !; 28 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
general: $tType ).
tff(type_def_6,type,
symbol: $tType ).
tff(func_def_0,type,
f__integer__: $int > general ).
tff(func_def_1,type,
f__symbolic__: symbol > general ).
tff(func_def_2,type,
c__infimum__: general ).
tff(func_def_3,type,
c__supremum__: general ).
tff(func_def_8,type,
sK1: general > $int ).
tff(func_def_9,type,
sK2: general > symbol ).
tff(func_def_10,type,
sK3: general > general ).
tff(func_def_11,type,
sK4: general ).
tff(func_def_12,type,
sK5: general ).
tff(func_def_13,type,
sK6: general ).
tff(pred_def_1,type,
p__is_integer__: general > $o ).
tff(pred_def_2,type,
p__is_symbolic__: general > $o ).
tff(pred_def_3,type,
p__less_equal__: ( general * general ) > $o ).
tff(pred_def_4,type,
p__less__: ( general * general ) > $o ).
tff(pred_def_5,type,
p__greater_equal__: ( general * general ) > $o ).
tff(pred_def_6,type,
p__greater__: ( general * general ) > $o ).
tff(pred_def_8,type,
hq: general > $o ).
tff(pred_def_9,type,
tq: general > $o ).
tff(pred_def_10,type,
hp: general > $o ).
tff(pred_def_11,type,
tp: general > $o ).
tff(pred_def_13,type,
sP0: ( general * general ) > $o ).
tff(f18,axiom,
! [X0: general,X1: general] :
( ( ( ( X0 = X1 )
& ? [X2: general] :
( ( X2 = X1 )
& hp(X2) )
& ? [X2: general] :
( ( X2 = X1 )
& tq(X2) ) )
=> hq(X0) )
& ( ( ( X0 = X1 )
& ? [X2: general] :
( ( X2 = X1 )
& tp(X2) )
& ? [X2: general] :
( ( X2 = X1 )
& tq(X2) ) )
=> tq(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2_right_0) ).
tff(f19,conjecture,
! [X0: general,X1: general] :
( ( ( ( X0 = X1 )
& ? [X2: general] :
( ( X2 = X1 )
& hp(X2) )
& tq(X0) )
=> hq(X0) )
& ( ( ( X0 = X1 )
& ? [X2: general] :
( ( X2 = X1 )
& tp(X2) )
& tq(X0) )
=> tq(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_left_0) ).
tff(f20,negated_conjecture,
~ ! [X0: general,X1: general] :
( ( ( ( X0 = X1 )
& ? [X2: general] :
( ( X2 = X1 )
& hp(X2) )
& tq(X0) )
=> hq(X0) )
& ( ( ( X0 = X1 )
& ? [X2: general] :
( ( X2 = X1 )
& tp(X2) )
& tq(X0) )
=> tq(X0) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
tff(f34,plain,
! [X0: general,X1: general] :
( ( ( ( X0 = X1 )
& ? [X2: general] :
( ( X2 = X1 )
& hp(X2) )
& ? [X3: general] :
( ( X1 = X3 )
& tq(X3) ) )
=> hq(X0) )
& ( ( ( X0 = X1 )
& ? [X4: general] :
( ( X1 = X4 )
& tp(X4) )
& ? [X5: general] :
( ( X1 = X5 )
& tq(X5) ) )
=> tq(X0) ) ),
inference(rectify,[],[f18]) ).
tff(f35,plain,
~ ! [X0: general,X1: general] :
( ( ( ( X0 = X1 )
& ? [X2: general] :
( ( X2 = X1 )
& hp(X2) )
& tq(X0) )
=> hq(X0) )
& ( ( ( X0 = X1 )
& ? [X3: general] :
( ( X1 = X3 )
& tp(X3) )
& tq(X0) )
=> tq(X0) ) ),
inference(rectify,[],[f20]) ).
tff(f48,plain,
! [X0: general,X1: general] :
( ( hq(X0)
| ( X0 != X1 )
| ! [X2: general] :
( ( X1 != X2 )
| ~ hp(X2) )
| ! [X3: general] :
( ( X1 != X3 )
| ~ tq(X3) ) )
& ( tq(X0)
| ( X0 != X1 )
| ! [X4: general] :
( ( X1 != X4 )
| ~ tp(X4) )
| ! [X5: general] :
( ( X1 != X5 )
| ~ tq(X5) ) ) ),
inference(ennf_transformation,[],[f34]) ).
tff(f49,plain,
! [X0: general,X1: general] :
( ( hq(X0)
| ( X0 != X1 )
| ! [X2: general] :
( ( X1 != X2 )
| ~ hp(X2) )
| ! [X3: general] :
( ( X1 != X3 )
| ~ tq(X3) ) )
& ( tq(X0)
| ( X0 != X1 )
| ! [X4: general] :
( ( X1 != X4 )
| ~ tp(X4) )
| ! [X5: general] :
( ( X1 != X5 )
| ~ tq(X5) ) ) ),
inference(flattening,[],[f48]) ).
tff(f50,plain,
? [X0: general,X1: general] :
( ( ~ hq(X0)
& ( X0 = X1 )
& ? [X2: general] :
( ( X2 = X1 )
& hp(X2) )
& tq(X0) )
| ( ~ tq(X0)
& ( X0 = X1 )
& ? [X3: general] :
( ( X1 = X3 )
& tp(X3) )
& tq(X0) ) ),
inference(ennf_transformation,[],[f35]) ).
tff(f51,plain,
? [X0: general,X1: general] :
( ( ~ hq(X0)
& ( X0 = X1 )
& ? [X2: general] :
( ( X2 = X1 )
& hp(X2) )
& tq(X0) )
| ( ~ tq(X0)
& ( X0 = X1 )
& ? [X3: general] :
( ( X1 = X3 )
& tp(X3) )
& tq(X0) ) ),
inference(flattening,[],[f50]) ).
tff(f52,definition,
! [X0: general,X1: general] :
( ( ~ tq(X0)
& ( X0 = X1 )
& ? [X3: general] :
( ( X1 = X3 )
& tp(X3) )
& tq(X0) )
| ~ sP0(X0,X1) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
tff(f53,plain,
? [X0: general,X1: general] :
( ( ~ hq(X0)
& ( X0 = X1 )
& ? [X2: general] :
( ( X2 = X1 )
& hp(X2) )
& tq(X0) )
| sP0(X0,X1) ),
inference(definition_folding,[],[f51,f52]) ).
tff(f59,plain,
! [X0: general,X1: general] :
( ( ~ tq(X0)
& ( X0 = X1 )
& ? [X3: general] :
( ( X1 = X3 )
& tp(X3) )
& tq(X0) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f52]) ).
tff(f60,plain,
! [X0: general,X1: general] :
( ( ~ tq(X0)
& ( X0 = X1 )
& ? [X2: general] :
( ( X1 = X2 )
& tp(X2) )
& tq(X0) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f59]) ).
tff(f61,plain,
! [X0: general,X1: general] :
( ( ~ tq(X0)
& ( X0 = X1 )
& ( sK3(X1) = X1 )
& tp(sK3(X1))
& tq(X0) )
| ~ sP0(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X1))],[f60]) ).
tff(f62,plain,
( ( ~ hq(sK4)
& ( sK4 = sK5 )
& ( sK5 = sK6 )
& hp(sK6)
& tq(sK4) )
| sP0(sK4,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f53]) ).
tff(f83,plain,
! [X2: general,X3: general,X0: general,X1: general] :
( hq(X0)
| ( X0 != X1 )
| ( X1 != X2 )
| ~ hp(X2)
| ( X1 != X3 )
| ~ tq(X3) ),
inference(cnf_transformation,[],[f49]) ).
tff(f84,plain,
! [X0: general,X1: general] :
( tq(X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
tff(f88,plain,
! [X0: general,X1: general] :
( ~ tq(X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
tff(f89,plain,
( tq(sK4)
| sP0(sK4,sK5) ),
inference(cnf_transformation,[],[f62]) ).
tff(f90,plain,
( hp(sK6)
| sP0(sK4,sK5) ),
inference(cnf_transformation,[],[f62]) ).
tff(f91,plain,
( ( sK5 = sK6 )
| sP0(sK4,sK5) ),
inference(cnf_transformation,[],[f62]) ).
tff(f92,plain,
( ( sK4 = sK5 )
| sP0(sK4,sK5) ),
inference(cnf_transformation,[],[f62]) ).
tff(f93,plain,
( ~ hq(sK4)
| sP0(sK4,sK5) ),
inference(cnf_transformation,[],[f62]) ).
tff(f97,plain,
! [X2: general,X3: general,X1: general] :
( hq(X1)
| ( X1 != X2 )
| ~ hp(X2)
| ( X1 != X3 )
| ~ tq(X3) ),
inference(equality_resolution,[],[f83]) ).
tff(f98,plain,
! [X2: general,X3: general] :
( hq(X2)
| ~ hp(X2)
| ( X2 != X3 )
| ~ tq(X3) ),
inference(equality_resolution,[],[f97]) ).
tff(f99,plain,
! [X3: general] :
( ~ hp(X3)
| hq(X3)
| ~ tq(X3) ),
inference(equality_resolution,[],[f98]) ).
tff(f103,plain,
! [X0: general,X1: general] : ~ sP0(X0,X1),
inference(global_subsumption,[],[f88,f84]) ).
tff(f110,plain,
tq(sK4),
inference(forward_subsumption_resolution,[],[f89,f103]) ).
tff(f111,plain,
hp(sK6),
inference(forward_subsumption_resolution,[],[f90,f103]) ).
tff(f112,plain,
~ hq(sK4),
inference(forward_subsumption_resolution,[],[f93,f103]) ).
tff(f113,plain,
sK5 = sK6,
inference(forward_subsumption_resolution,[],[f91,f103]) ).
tff(f114,plain,
hp(sK5),
inference(superposition,[],[f111,f113]) ).
tff(f115,plain,
sK4 = sK5,
inference(forward_subsumption_resolution,[],[f92,f103]) ).
tff(f116,plain,
hp(sK4),
inference(superposition,[],[f114,f115]) ).
tff(f173,plain,
( hq(sK4)
| ~ tq(sK4) ),
inference(resolution,[],[f99,f116]) ).
tff(f174,plain,
~ tq(sK4),
inference(forward_subsumption_resolution,[],[f173,f112]) ).
tff(f177,plain,
$false,
inference(forward_subsumption_resolution,[],[f174,f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX074_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 14:58:11 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.24 % (2474863)Will run a generic schedule for satisfiability detection.
% 0.08/0.24 % (2474870)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=230895000:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.24 % (2474870) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2474863-2474870"...
% 0.08/0.24 % (2474870)...printing done.
% 0.08/0.24 % (2474870)Refutation found. Thanks to Tanya!
% 0.08/0.24 % SZS status Theorem for theBenchmark
% 0.08/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24 % (2474870)------------------------------
% 0.08/0.24 % (2474870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (2474870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (2474870)CaDiCaL version: 2.1.3
% 0.08/0.24 % (2474870)Termination reason: Refutation
% 0.08/0.24 % (2474870)Time elapsed: 0.002 s
% 0.08/0.24 % (2474870)Peak memory usage: 12 MB
% 0.08/0.24 % (2474870)Instructions burned: 4 (million)
% 0.08/0.24 % (2474863)Success in time 0.027 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------