%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT058_1 : TPTP v9.3.1. Released v5.5.0.
% 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 09:47:12 AM UTC 2026
% Result : Theorem 3.86s 1.32s
% Output : Refutation 3.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 57 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 21 ~; 21 |; 3 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 31 ( 0 atm; 0 fun; 0 num; 31 var)
% Number of types : 3 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 67 ( 64 !; 3 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
data: $tType ).
tff(type_def_6,type,
array: $tType ).
tff(func_def_0,type,
mkarray: array ).
tff(func_def_1,type,
none: data ).
tff(func_def_2,type,
put: ( array * $int * data ) > array ).
tff(func_def_3,type,
get: ( array * $int ) > data ).
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: ( array * array ) > $int ).
tff(f1,axiom,
! [X0: $int] : ( get(mkarray,X0) = none ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_17) ).
tff(f2,axiom,
! [X2: data,X1: $int,X0: array] : ( get(put(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_18) ).
tff(f3,axiom,
! [X0: $int,X3: $int,X2: array,X1: data] :
( ( X3 != X0 )
=> ( get(put(X2,X0,X1),X3) = get(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_19) ).
tff(f5,axiom,
! [X1: array,X0: array] :
( ! [X2: $int] : ( get(X0,X2) = get(X1,X2) )
<=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_21) ).
tff(f6,conjecture,
! [X0: $int] : ( put(mkarray,X0,none) = mkarray ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_2) ).
tff(f7,negated_conjecture,
~ ! [X0: $int] : ( put(mkarray,X0,none) = mkarray ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f8,plain,
! [X0: $int,X1: $int,X2: array,X3: data] :
( ( X0 != X1 )
=> ( get(X2,X1) = get(put(X2,X0,X3),X1) ) ),
inference(rectify,[],[f3]) ).
tff(f9,plain,
! [X1: array,X0: array] :
( ! [X2: $int] : ( get(X0,X2) = get(X1,X2) )
<=> ( X0 = X1 ) ),
inference(rectify,[],[f5]) ).
tff(f11,plain,
! [X0: data,X1: $int,X2: array] : ( get(put(X2,X1,X0),X1) = X0 ),
inference(rectify,[],[f2]) ).
tff(f12,plain,
? [X0: $int] : ( mkarray != put(mkarray,X0,none) ),
inference(ennf_transformation,[],[f7]) ).
tff(f13,plain,
! [X0: $int,X2: array,X1: $int,X3: data] :
( ( X0 = X1 )
| ( get(X2,X1) = get(put(X2,X0,X3),X1) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f14,plain,
mkarray != put(mkarray,sK0,none),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f12]) ).
tff(f15,plain,
! [X0: $int,X1: array,X2: $int,X3: data] :
( ( X0 = X2 )
| ( get(X1,X2) = get(put(X1,X0,X3),X2) ) ),
inference(rectify,[],[f13]) ).
tff(f17,plain,
! [X1: array,X0: array] :
( ( ! [X2: $int] : ( get(X0,X2) = get(X1,X2) )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ? [X2: $int] : ( get(X0,X2) != get(X1,X2) ) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f18,plain,
! [X0: array,X1: array] :
( ( ! [X2: $int] : ( get(X0,X2) = get(X1,X2) )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ? [X3: $int] : ( get(X0,X3) != get(X1,X3) ) ) ),
inference(rectify,[],[f17]) ).
tff(f19,plain,
! [X0: array,X1: array] :
( ( ! [X2: $int] : ( get(X0,X2) = get(X1,X2) )
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ( get(X1,sK1(X0,X1)) != get(X0,sK1(X0,X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f18]) ).
tff(f20,plain,
! [X0: $int] : ( get(mkarray,X0) = none ),
inference(cnf_transformation,[],[f1]) ).
tff(f21,plain,
mkarray != put(mkarray,sK0,none),
inference(cnf_transformation,[],[f14]) ).
tff(f22,plain,
! [X2: $int,X3: data,X0: $int,X1: array] :
( ( get(X1,X2) = get(put(X1,X0,X3),X2) )
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f15]) ).
tff(f24,plain,
! [X2: array,X0: data,X1: $int] : ( get(put(X2,X1,X0),X1) = X0 ),
inference(cnf_transformation,[],[f11]) ).
tff(f25,plain,
! [X0: array,X1: array] :
( ( get(X1,sK1(X0,X1)) != get(X0,sK1(X0,X1)) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f32,plain,
! [X0: array] :
( ( none != get(X0,sK1(X0,mkarray)) )
| ( mkarray = X0 ) ),
inference(constrained_superposition,[],[f25,f20]) ).
tff(f37,plain,
! [X2: data,X0: array,X1: $int] :
( ( none != get(X0,sK1(put(X0,X1,X2),mkarray)) )
| ( sK1(put(X0,X1,X2),mkarray) = X1 )
| ( mkarray = put(X0,X1,X2) ) ),
inference(constrained_superposition,[],[f32,f22]) ).
tff(f68,plain,
! [X0: $int,X1: data] :
( ( sK1(put(mkarray,X0,X1),mkarray) = X0 )
| ( none != none )
| ( mkarray = put(mkarray,X0,X1) ) ),
inference(constrained_superposition,[],[f37,f20]) ).
tff(f72,plain,
! [X0: $int,X1: data] :
( ( sK1(put(mkarray,X0,X1),mkarray) = X0 )
| ( mkarray = put(mkarray,X0,X1) ) ),
inference(trivial_inequality_removal,[],[f68]) ).
tff(f73,plain,
! [X0: $int,X1: data] :
( ( none != get(put(mkarray,X0,X1),X0) )
| ( mkarray = put(mkarray,X0,X1) )
| ( mkarray = put(mkarray,X0,X1) ) ),
inference(constrained_superposition,[],[f32,f72]) ).
tff(f75,plain,
! [X0: $int,X1: data] :
( ( none != get(put(mkarray,X0,X1),X0) )
| ( mkarray = put(mkarray,X0,X1) ) ),
inference(duplicate_literal_removal,[],[f73]) ).
tff(f77,plain,
! [X0: $int,X1: data] :
( ( mkarray = put(mkarray,X0,X1) )
| ( none != X1 ) ),
inference(forward_demodulation,[],[f75,f24]) ).
tff(f80,plain,
( ( none != none )
| ( mkarray != mkarray ) ),
inference(constrained_superposition,[],[f21,f77]) ).
tff(f84,plain,
$false,
inference(trivial_inequality_removal,[],[f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT058_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 00:07:16 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 3.86/1.32 % (1300610)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.86/1.32 % (1300618)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2871361653:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.86/1.32 % (1300618)Instruction limit reached!
% 3.86/1.32 % (1300618)------------------------------
% 3.86/1.32 % (1300618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.32 % (1300618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.32 % (1300618)CaDiCaL version: 2.1.3
% 3.86/1.32 % (1300618)Termination reason: Instruction limit
% 3.86/1.32 % (1300618)Time elapsed: 0.004 s
% 3.86/1.32 % (1300618)Peak memory usage: 88 MB
% 3.86/1.32 % (1300618)Instructions burned: 10 (million)
% 3.86/1.32 % (1300621)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3619879351:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.86/1.32 % (1300616)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2421577375:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.86/1.32 % (1300620)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2921604216:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.86/1.32 % (1300615)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2567363201:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.86/1.32 % (1300619)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3200818740:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.86/1.32 % (1300617)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4166000378:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.86/1.32 % (1300619)First to succeed.
% 3.86/1.32 % (1300619)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1300610"
% 3.86/1.32 % (1300615)Refutation not found, incomplete strategy
% 3.86/1.32 % (1300615)------------------------------
% 3.86/1.32 % (1300615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.32 % (1300615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.32 % (1300615)CaDiCaL version: 2.1.3
% 3.86/1.32 % (1300615)Termination reason: Refutation not found, incomplete strategy
% 3.86/1.32 % (1300615)Time elapsed: 0.029 s
% 3.86/1.32 % (1300615)Peak memory usage: 115 MB
% 3.86/1.32 % (1300615)Instructions burned: 6 (million)
% 3.86/1.32 % (1300617)Also succeeded, but the first one will report.
% 3.86/1.32 % (1300616)Also succeeded, but the first one will report.
% 3.86/1.32 % (1300621)Also succeeded, but the first one will report.
% 3.86/1.32 % (1300620)Also succeeded, but the first one will report.
% 3.86/1.32 % (1300623)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=490435595:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.86/1.32 % (1300623)Also succeeded, but the first one will report.
% 3.86/1.32 % (1300619)Refutation found. Thanks to Tanya!
% 3.86/1.32 % SZS status Theorem for theBenchmark
% 3.86/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.86/1.32 % (1300619)------------------------------
% 3.86/1.32 % (1300619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.86/1.32 % (1300619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.32 % (1300619)CaDiCaL version: 2.1.3
% 3.86/1.32 % (1300619)Termination reason: Refutation
% 3.86/1.32 % (1300619)Time elapsed: 0.005 s
% 3.86/1.32 % (1300619)Peak memory usage: 89 MB
% 3.86/1.32 % (1300619)Instructions burned: 5 (million)
% 3.86/1.32 % (1300619)------------------------------
% 3.86/1.32 % (1300619)------------------------------
% 3.86/1.32 % (1300610)Success in time 0.477 s
% 3.86/1.32 % Vampire exiting
%------------------------------------------------------------------------------