%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM928_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:17:38 PM UTC 2026
% Result : Theorem 5.29s 1.71s
% Output : Refutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 8 |; 3 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 5 con; 0-5 aty)
% Number of variables : 36 ( 30 !; 6 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_8,type,
product_prod: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
minus_minus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
uminus_uminus:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_4,type,
min: int ).
tff(func_def_5,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_6,type,
ring_1_of_int:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_7,type,
product_Pair:
!>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > product_prod(X0,X1) ) ).
tff(func_def_8,type,
product_prod_rec:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).
tff(func_def_9,type,
twoSqu196287499sum2sq: product_prod(int,int) > int ).
tff(func_def_10,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_11,type,
fFalse: bool ).
tff(func_def_12,type,
fTrue: bool ).
tff(func_def_13,type,
x: int ).
tff(func_def_14,type,
y: int ).
tff(func_def_15,type,
sK0: int > int ).
tff(func_def_16,type,
sK1: int > int ).
tff(func_def_17,type,
sK2:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_18,type,
sK3:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_19,type,
sK4:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_20,type,
sK5:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).
tff(func_def_21,type,
sK6:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).
tff(func_def_22,type,
sK7:
!>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).
tff(func_def_23,type,
sK8:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
cl_Groups_Ominus:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
comm_ring:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
group_add:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
ab_group_add:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
comm_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
ab_semigroup_mult:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
boolean_algebra:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_18,type,
ab_sem1668676832m_mult:
!>[X0: $tType] : $o ).
tff(pred_def_19,type,
semiri456707255roduct:
!>[X0: $tType] : $o ).
tff(pred_def_20,type,
abel_semigroup:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).
tff(pred_def_21,type,
comm_monoid:
!>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).
tff(pred_def_22,type,
semigroup:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).
tff(pred_def_23,type,
semilattice:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).
tff(pred_def_24,type,
twoSqu1567020053sum2sq: int > $o ).
tff(pred_def_25,type,
pp: bool > $o ).
tff(f15,axiom,
! [X0: int] :
( twoSqu1567020053sum2sq(X0)
<=> ? [X1: int,X2: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X1,X2)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_is__sum2sq__def) ).
tff(f75,axiom,
! [X0: int,X1: int,X2: int,X3: int] : ( times_times(int,twoSqu196287499sum2sq(product_Pair(int,int,X3,X2)),twoSqu196287499sum2sq(product_Pair(int,int,X1,X0))) = twoSqu196287499sum2sq(product_Pair(int,int,plus_plus(int,times_times(int,X3,X1),times_times(int,X2,X0)),minus_minus(int,times_times(int,X3,X0),times_times(int,X2,X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_mult__sum2sq) ).
tff(f122,axiom,
twoSqu1567020053sum2sq(x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f123,axiom,
twoSqu1567020053sum2sq(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f124,conjecture,
twoSqu1567020053sum2sq(times_times(int,x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
tff(f125,negated_conjecture,
~ twoSqu1567020053sum2sq(times_times(int,x,y)),
inference(negated_conjecture,[status(cth)],[f124]) ).
tff(f126,plain,
~ twoSqu1567020053sum2sq(times_times(int,x,y)),
inference(flattening,[],[f125]) ).
tff(f132,plain,
! [X0: int] :
( ( twoSqu1567020053sum2sq(X0)
| ! [X1: int,X2: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X1,X2)) != X0 ) )
& ( ? [X1: int,X2: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X1,X2)) = X0 )
| ~ twoSqu1567020053sum2sq(X0) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f133,plain,
! [X0: int] :
( ( twoSqu1567020053sum2sq(X0)
| ! [X1: int,X2: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X1,X2)) != X0 ) )
& ( ? [X3: int,X4: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X3,X4)) = X0 )
| ~ twoSqu1567020053sum2sq(X0) ) ),
inference(rectify,[],[f132]) ).
tff(f134,plain,
! [X0: int] :
( ( twoSqu1567020053sum2sq(X0)
| ! [X1: int,X2: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X1,X2)) != X0 ) )
& ( ( twoSqu196287499sum2sq(product_Pair(int,int,sK0(X0),sK1(X0))) = X0 )
| ~ twoSqu1567020053sum2sq(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X0)),skolemize(X4,sK1(X0))],[f133]) ).
tff(f144,plain,
twoSqu1567020053sum2sq(x),
inference(cnf_transformation,[],[f122]) ).
tff(f145,plain,
twoSqu1567020053sum2sq(y),
inference(cnf_transformation,[],[f123]) ).
tff(f146,plain,
~ twoSqu1567020053sum2sq(times_times(int,x,y)),
inference(cnf_transformation,[],[f126]) ).
tff(f147,plain,
! [X0: int] :
( ~ twoSqu1567020053sum2sq(X0)
| ( twoSqu196287499sum2sq(product_Pair(int,int,sK0(X0),sK1(X0))) = X0 ) ),
inference(cnf_transformation,[],[f134]) ).
tff(f148,plain,
! [X2: int,X0: int,X1: int] :
( twoSqu1567020053sum2sq(X0)
| ( twoSqu196287499sum2sq(product_Pair(int,int,X1,X2)) != X0 ) ),
inference(cnf_transformation,[],[f134]) ).
tff(f154,plain,
! [X2: int,X3: int,X0: int,X1: int] : ( times_times(int,twoSqu196287499sum2sq(product_Pair(int,int,X3,X2)),twoSqu196287499sum2sq(product_Pair(int,int,X1,X0))) = twoSqu196287499sum2sq(product_Pair(int,int,plus_plus(int,times_times(int,X3,X1),times_times(int,X2,X0)),minus_minus(int,times_times(int,X3,X0),times_times(int,X2,X1)))) ),
inference(cnf_transformation,[],[f75]) ).
tff(f169,plain,
! [X2: int,X1: int] : twoSqu1567020053sum2sq(twoSqu196287499sum2sq(product_Pair(int,int,X1,X2))),
inference(equality_resolution,[],[f148]) ).
tff(f173,plain,
x = twoSqu196287499sum2sq(product_Pair(int,int,sK0(x),sK1(x))),
inference(resolution,[],[f147,f144]) ).
tff(f174,plain,
y = twoSqu196287499sum2sq(product_Pair(int,int,sK0(y),sK1(y))),
inference(resolution,[],[f147,f145]) ).
tff(f663,plain,
! [X2: int,X3: int,X0: int,X1: int] : twoSqu1567020053sum2sq(times_times(int,twoSqu196287499sum2sq(product_Pair(int,int,X0,X1)),twoSqu196287499sum2sq(product_Pair(int,int,X2,X3)))),
inference(superposition,[],[f169,f154]) ).
tff(f669,plain,
! [X0: int,X1: int] : twoSqu1567020053sum2sq(times_times(int,x,twoSqu196287499sum2sq(product_Pair(int,int,X0,X1)))),
inference(superposition,[],[f663,f173]) ).
tff(f848,plain,
twoSqu1567020053sum2sq(times_times(int,x,y)),
inference(superposition,[],[f669,f174]) ).
tff(f850,plain,
$false,
inference(forward_subsumption_resolution,[],[f848,f146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM928_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 21:47:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 3.74/1.52 % (2757185)Detected formulas, will run a generic FOF schedule.
% 3.74/1.52 % (2757190)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=157521818:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.74/1.52 % (2757196)dis-21_1_sil=8000:lcm=predicate:random_seed=2271224869:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.74/1.52 % (2757194)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2487629797:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.74/1.52 % (2757191)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4146062509:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.74/1.52 % (2757192)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2888841927:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.74/1.52 % (2757193)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1940026500:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.74/1.52 % (2757195)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3484544672:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.74/1.52 % (2757193)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.74/1.52 % (2757193)Refutation not found, incomplete strategy
% 3.74/1.52 % (2757193)------------------------------
% 3.74/1.52 % (2757193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.52 % (2757193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.52 % (2757193)CaDiCaL version: 2.1.3
% 3.74/1.52 % (2757193)Termination reason: Refutation not found, incomplete strategy
% 3.74/1.52 % (2757193)Time elapsed: 0.001 s
% 3.74/1.52 % (2757193)Peak memory usage: 88 MB
% 3.74/1.52 % (2757192)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.74/1.52 % (2757194)Instruction limit reached!
% 3.74/1.52 % (2757194)------------------------------
% 3.74/1.52 % (2757194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.52 % (2757194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.52 % (2757194)CaDiCaL version: 2.1.3
% 3.74/1.52 % (2757194)Termination reason: Instruction limit
% 3.74/1.52 % (2757194)Termination phase: Saturation
% 3.74/1.52 % (2757194)Time elapsed: 0.061 s
% 3.74/1.52 % (2757194)Peak memory usage: 88 MB
% 3.74/1.52 % (2757194)Instructions burned: 119 (million)
% 3.74/1.52 % (2757196)Instruction limit reached!
% 3.74/1.52 % (2757196)------------------------------
% 3.74/1.52 % (2757196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.52 % (2757196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.52 % (2757196)CaDiCaL version: 2.1.3
% 3.74/1.52 % (2757196)Termination reason: Instruction limit
% 3.74/1.52 % (2757196)Termination phase: Saturation
% 3.74/1.52 % (2757196)Time elapsed: 0.075 s
% 3.74/1.52 % (2757196)Peak memory usage: 89 MB
% 3.74/1.52 % (2757196)Instructions burned: 129 (million)
% 3.74/1.52 % (2757195)Instruction limit reached!
% 3.74/1.52 % (2757195)------------------------------
% 3.74/1.52 % (2757195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.52 % (2757195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.52 % (2757195)CaDiCaL version: 2.1.3
% 3.74/1.52 % (2757195)Termination reason: Instruction limit
% 3.74/1.52 % (2757195)Termination phase: Saturation
% 3.74/1.52 % (2757195)Time elapsed: 0.078 s
% 3.74/1.52 % (2757195)Peak memory usage: 89 MB
% 3.74/1.52 % (2757195)Instructions burned: 140 (million)
% 3.74/1.52 % Exception at run slice level
% 3.74/1.52 User error: GNN currently only supports monomorphic FOL.
% 3.74/1.52 % (2757204)lrs+10_1_sil=8000:sp=occurrence:random_seed=3425788470:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.74/1.52 % (2757206)lrs+1011_1_sil=32000:sp=occurrence:random_seed=789308938:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.74/1.52 % (2757205)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1262304019:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.29/1.71 % (2757193)------------------------------
% 5.29/1.71 % (2757193)------------------------------
% 5.29/1.71 % (2757204)First to succeed.
% 5.29/1.71 % (2757204)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2757185"
% 5.29/1.71 % (2757207)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2388782529:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.29/1.71 % (2757207)Also succeeded, but the first one will report.
% 5.29/1.71 % (2757205)Instruction limit reached!
% 5.29/1.71 % (2757205)------------------------------
% 5.29/1.71 % (2757205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.71 % (2757205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.71 % (2757205)CaDiCaL version: 2.1.3
% 5.29/1.71 % (2757205)Termination reason: Instruction limit
% 5.29/1.71 % (2757205)Termination phase: Saturation
% 5.29/1.71 % (2757205)Time elapsed: 0.089 s
% 5.29/1.71 % (2757205)Peak memory usage: 90 MB
% 5.29/1.71 % (2757205)Instructions burned: 158 (million)
% 5.29/1.71 % Exception at run slice level
% 5.29/1.71 User error: GNN currently only supports monomorphic FOL.
% 5.29/1.71 % Exception at run slice level
% 5.29/1.71 User error: GNN currently only supports monomorphic FOL.
% 5.29/1.71 % (2757206)Instruction limit reached!
% 5.29/1.71 % (2757206)------------------------------
% 5.29/1.71 % (2757206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.71 % (2757206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.71 % (2757206)CaDiCaL version: 2.1.3
% 5.29/1.71 % (2757206)Termination reason: Instruction limit
% 5.29/1.71 % (2757206)Termination phase: Saturation
% 5.29/1.71 % (2757206)Time elapsed: 0.182 s
% 5.29/1.71 % (2757206)Peak memory usage: 91 MB
% 5.29/1.71 % (2757206)Instructions burned: 325 (million)
% 5.29/1.71 % (2757211)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3218614455:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.29/1.71 % (2757211)Refutation not found, incomplete strategy
% 5.29/1.71 % (2757211)------------------------------
% 5.29/1.71 % (2757211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.71 % (2757211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.71 % (2757211)CaDiCaL version: 2.1.3
% 5.29/1.71 % (2757211)Termination reason: Refutation not found, incomplete strategy
% 5.29/1.71 % (2757211)Time elapsed: 0.004 s
% 5.29/1.71 % (2757211)Peak memory usage: 88 MB
% 5.29/1.71 % (2757211)Instructions burned: 5 (million)
% 5.29/1.71 % (2757213)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2949894752:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.29/1.71 % (2757204)Refutation found. Thanks to Tanya!
% 5.29/1.71 % SZS status Theorem for theBenchmark
% 5.29/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 5.29/1.72 % (2757204)------------------------------
% 5.29/1.72 % (2757204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.72 % (2757204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.72 % (2757204)CaDiCaL version: 2.1.3
% 5.29/1.72 % (2757204)Termination reason: Refutation
% 5.29/1.72 % (2757204)Time elapsed: 0.051 s
% 5.29/1.72 % (2757204)Peak memory usage: 90 MB
% 5.29/1.72 % (2757204)Instructions burned: 91 (million)
% 5.29/1.72 % (2757204)------------------------------
% 5.29/1.72 % (2757204)------------------------------
% 5.29/1.72 % (2757185)Success in time 0.665 s
% 5.29/1.72 % Vampire exiting
%------------------------------------------------------------------------------