%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT019_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:47:07 AM UTC 2026
% Result : Theorem 3.30s 0.93s
% Output : Refutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 32 ( 14 ~; 11 |; 6 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 32 ( 0 atm; 0 fun; 19 num; 13 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_8,type,
-1: $int > $int ).
tff(func_def_10,type,
-2: $int > $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f2,axiom,
! [X1: collection,X0: $int] : in(X0,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f4,axiom,
! [X2: $int,X0: $int,X1: collection] :
( ( ( X0 = X2 )
| in(X0,X1) )
<=> in(X0,add(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f6,conjecture,
in(3,add(1,add(3,add(5,empty)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f7,negated_conjecture,
~ in(3,add(1,add(3,add(5,empty)))),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f10,plain,
~ in(3,add(1,add(3,add(5,empty)))),
inference(flattening,[],[f7]) ).
tff(f14,plain,
! [X2: $int,X0: $int,X1: collection] :
( ( ( X0 = X2 )
| in(X0,X1)
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ( X0 != X2 )
& ~ in(X0,X1) ) ) ),
inference(nnf_transformation,[],[f4]) ).
tff(f15,plain,
! [X2: $int,X0: $int,X1: collection] :
( ( ( X0 = X2 )
| in(X0,X1)
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ( X0 != X2 )
& ~ in(X0,X1) ) ) ),
inference(flattening,[],[f14]) ).
tff(f16,plain,
! [X0: $int,X1: $int,X2: collection] :
( ( ( X0 = X1 )
| in(X1,X2)
| ~ in(X1,add(X0,X2)) )
& ( in(X1,add(X0,X2))
| ( ( X0 != X1 )
& ~ in(X1,X2) ) ) ),
inference(rectify,[],[f15]) ).
tff(f17,plain,
! [X0: collection,X1: $int] : in(X1,add(X1,X0)),
inference(rectify,[],[f2]) ).
tff(f21,plain,
! [X2: collection,X0: $int,X1: $int] :
( in(X1,add(X0,X2))
| ~ in(X1,X2) ),
inference(cnf_transformation,[],[f16]) ).
tff(f25,plain,
~ in(3,add(1,add(3,add(5,empty)))),
inference(cnf_transformation,[],[f10]) ).
tff(f26,plain,
! [X0: collection,X1: $int] : in(X1,add(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
tff(f30,plain,
~ in(3,add(3,add(5,empty))),
inference(resolution,[],[f21,f25]) ).
tff(f31,plain,
$false,
inference(forward_subsumption_resolution,[],[f30,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT019_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n005.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 00:05:31 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 Running first-order theorem proving
% 0.10/0.19 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
% 3.30/0.92 % (1299051)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.30/0.92 % (1299061)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1621128747:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.30/0.92 % (1299057)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=172419027:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.30/0.92 % (1299062)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1804177382:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.30/0.92 % (1299060)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2860257720:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.30/0.92 % (1299059)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=69188142:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.30/0.92 % (1299056)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3414049726:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.30/0.92 % (1299058)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2542970811:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.30/0.92 % (1299060)First to succeed.
% 3.30/0.92 % (1299059)Refutation not found, incomplete strategy
% 3.30/0.92 % (1299059)------------------------------
% 3.30/0.92 % (1299059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/0.92 % (1299059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/0.92 % (1299059)CaDiCaL version: 2.1.3
% 3.30/0.92 % (1299059)Termination reason: Refutation not found, incomplete strategy
% 3.30/0.92 % (1299059)Time elapsed: 0.002 s
% 3.30/0.92 % (1299059)Peak memory usage: 88 MB
% 3.30/0.92 % (1299059)Instructions burned: 2 (million)
% 3.30/0.92 % (1299060)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1299051"
% 3.30/0.92 % (1299061)Also succeeded, but the first one will report.
% 3.30/0.92 % (1299058)Also succeeded, but the first one will report.
% 3.30/0.92 % (1299056)Refutation not found, incomplete strategy
% 3.30/0.92 % (1299056)------------------------------
% 3.30/0.93 % (1299056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/0.93 % (1299056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/0.93 % (1299056)CaDiCaL version: 2.1.3
% 3.30/0.93 % (1299056)Termination reason: Refutation not found, incomplete strategy
% 3.30/0.93 % (1299056)Time elapsed: 0.028 s
% 3.30/0.93 % (1299056)Peak memory usage: 115 MB
% 3.30/0.93 % (1299056)Instructions burned: 6 (million)
% 3.30/0.93 % (1299062)Also succeeded, but the first one will report.
% 3.30/0.93 % (1299057)Also succeeded, but the first one will report.
% 3.30/0.93 % (1299059)------------------------------
% 3.30/0.93 % (1299059)------------------------------
% 3.30/0.93 % (1299060)Refutation found. Thanks to Tanya!
% 3.30/0.93 % SZS status Theorem for theBenchmark
% 3.30/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 3.30/0.93 % (1299060)------------------------------
% 3.30/0.93 % (1299060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/0.93 % (1299060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/0.93 % (1299060)CaDiCaL version: 2.1.3
% 3.30/0.93 % (1299060)Termination reason: Refutation
% 3.30/0.93 % (1299060)Time elapsed: 0.002 s
% 3.30/0.93 % (1299060)Peak memory usage: 89 MB
% 3.30/0.93 % (1299060)Instructions burned: 1 (million)
% 3.30/0.93 % (1299060)------------------------------
% 3.30/0.93 % (1299060)------------------------------
% 3.30/0.93 % (1299051)Success in time 0.432 s
% 3.30/0.93 % Vampire exiting
%------------------------------------------------------------------------------